thebase.works · Das Kapital II Kap. 15 · semantic zoom
Z3
Kap. 15
Das Dilemma: Stufenleiter verkürzen oder Zuschußkapital vorschießen
Chapter 14 closed on capital's permanently-money-form portion — a fact about the sphere of circulation. Chapter 15 turns that fact into arithmetic: given a fixed working period and circulation time, exactly how much extra capital does continuity cost, and where does it go when the business doesn't need it?
In diesem und dem nächstfolgenden sechzehnten Kapitel behandeln wir den Einfluß der Umschlagszeit auf die Verwertung des Kapitals.
this chapter's question

In this chapter and the next one, we look at how the time it takes capital to turn over affects how much value that capital can create.

Nehmen wir das Warenkapital, welches das Produkt einer Arbeitsperiode ist, z.B. von neun Wochen. Sehn wir einstweilen ab sowohl von dem Wertteil des Produkts, der ihm durch den Durchschnittsverschleiß des fixen Kapitals zugesetzt ist, wie von dem während des Produktionsprozesses ihm zugesetzten Mehrwert, so ist der Wert dieses Produkts gleich dem Wert des zu seiner Produktion vorgeschoßnen flüssigen Kapitals, d.h. des Arbeitslohns und der in seiner Produktion aufgezehrten Roh- und Hilfsstoffe. Dieser Wert sei = 900 Pfd.St., so daß die Wochenauslage 100 Pfd.St. beträgt. Die periodische Produktionszeit, welche hier mit der Arbeitsperiode zusammenfällt, beträgt also 9 Wochen. Es ist dabei gleichgültig, ob man annimmt, es handle sich hier um eine Arbeitsperiode für ein kontinuierliches Produkt oder um eine kontinuierliche Arbeitsperiode für ein diskretes Produkt, sofern nur das Quantum von diskretem Produkt, welches auf einmal zu Markte geschafft wird, 9 Wochen Arbeit kostet. Die Umlaufszeit daure 3 Wochen. Die ganze Umschlagsperiode daure also 12 Wochen. Nach Verlauf von 9 Wochen ist das vorgeschoßne produktive Kapital in Warenkapital verwandelt, aber es haust nun drei Wochen in der Zirkulationsperiode. Der neue Produktionstermin kann also erst wieder beginnen Anfang der 13. Woche, und die Produktion wäre für drei Wochen stillgesetzt oder für ein Viertel der ganzen Umschlagsperiode. Es ist wieder gleichgültig, ob man voraussetzt, es daure im Durchschnitt so lange bis die Ware verkauft ist oder es sei diese Zeit durch die Entfernung des Markts bedingt oder durch die Zahlungstermine für die verkaufte Ware. Während je 3 Monaten stände die Produktion 3 Wochen still, also während des Jahres 4 × 3 = 12 Wochen = 3 Monaten = 1/4 der jährlichen Umschlagsperiode.
the standstill problem, in numbers

Take a batch of goods that is the product of one working period — say, nine weeks. For now, set aside two things: the extra value added by the ordinary wear of fixed capital, and the surplus-value added during production. With those set aside, the value of this batch of goods equals the value of the circulating capital advanced to produce it — that is, the wages paid and the raw and auxiliary materials used up. Say that value is £900, so the weekly outlay is £100. The periodic production time, which here is the same as the working period, is therefore 9 weeks. It makes no difference whether we think of this as one working period producing a single continuous product, or as a continuous working period producing a series of separate items — what matters is only that the quantity of goods taken to market at one time costs 9 weeks of labour to produce. Say the circulation time lasts 3 weeks. The whole turnover period then lasts 12 weeks. After 9 weeks the advanced productive capital has been turned into commodity capital, but it now spends three weeks sitting in circulation. So a new round of production cannot begin again until the start of the 13th week, and production would stand still for three weeks — one quarter of the whole turnover period. Again it makes no difference whether we assume it simply takes that long, on average, to sell the goods, or that the time is set by the distance to market, or by the payment terms on the goods sold. Every three months production would stand still for three weeks; over the year that is 4 × 3 = 12 weeks = 3 months = one quarter of the year's turnover time.

Soll die Produktion daher kontinuierlich sein und Woche aus, Woche ein auf demselben Maßstab betrieben werden, so ist nur zweierlei möglich.
only two ways out

So if production is to run continuously, week after week, on the same scale, only two things are possible.

Entweder muß der Maßstab der Produktion verkürzt werden, so daß also die 900 Pfd.St. reichen, um die Arbeit in Gang zu halten, sowohl während der Arbeitsperiode wie während der Umlaufszeit des ersten Umschlags. Mit der 10. Woche wird dann eine zweite Arbeitsperiode, also auch Umschlagsperiode, eröffnet, bevor die erste Umschlagsperiode beendet ist, denn die Umschlagsperiode ist zwölfwöchentlich, die Arbeitsperiode neunwöchentlich. 900 Pfd.St. auf 12 Wochen verteilt gibt 75 Pfd.St. wöchentlich. Zunächst ist klar, daß eine solche verkürzte Stufenleiter des Geschäfts veränderte Dimensionen des fixen Kapitals, also überhaupt eine verkürzte Geschäftsanlage voraussetzt. Zweitens ist es fraglich, ob diese Verkürzung überhaupt stattfinden kann, da der Entwicklung der Produktion in den verschiednen Geschäften gemäß ein Normalminimum der Kapitalanlage besteht, unterhalb dessen das einzelne Geschäft konkurrenzunfähig wird. Dies Normalminimum selbst wächst beständig mit der kapitalistischen Entwicklung der Produktion, ist also kein fixes. Zwischen dem jedesmal gegebnen Normalminimum und dem sich stets ausdehnenden Normalmaximum finden aber zahlreiche Zwischenstufen statt - eine Mitte, die sehr verschiedne Grade der Kapitalanlage zuläßt. Innerhalb der Grenzen dieser Mitte kann daher auch Verkürzung stattfinden, deren Grenze das jedesmalige Normalminimum selbst ist. - Bei Hemmung der Produktion, Überfüllung der Märkte, Teurung des Rohstoffs etc. findet Beschränkung der normalen Auslage von zirkulierendem Kapital bei gegebner Grundlage des fixen Kapitals statt durch Beschränkung der Arbeitszeit, indem z.B. nur halbe Tage gearbeitet wird; wie ebenso in Zeiten der Prosperität auf gegebner Grundlage des fixen Kapitals anormale Ausdehnung des zirkulierenden Kapitals stattfindet, teils durch Verlängrung der Arbeitszeit, teils durch Intensifikation derselben. Bei Geschäften, die von vornherein auf solche Schwankungen berechnet sind, hilft man sich teils durch die obigen Mittel, teils durch die gleichzeitige Anwendung einer größeren Arbeiteranzahl, verbunden mit Anwendung von Reserve-Fixkapital, z.B. Reservelokomotiven bei der Eisenbahn etc. Solche anormalen Schwankungen bleiben aber hier, wo wir normale Verhältnisse voraussetzen, außer Betracht.
route one: shrink the scale

One option — not a neutral one: shrink the scale of production, so that the £900 is enough to keep work going both during the working period and during the circulation time of the first turnover. Then, in week 10, a second working period — and so a second turnover period — begins before the first turnover period has even finished, since the turnover period is twelve weeks long but the working period only nine. Spread over 12 weeks, £900 works out to £75 a week (and note this route ties up relatively more of the capital as idle money, not less). This has consequences. First, shrinking the scale of the business this way means changing the size of the fixed capital too — the whole business set-up has to be scaled down. Second, it is not even clear this shrinking is always possible: for any given branch of production, there is a normal minimum amount of capital needed, and a business below that minimum cannot compete. This minimum itself keeps growing as capitalist production develops, so it is not fixed. But between whatever the normal minimum is at a given time and the ever-expanding normal maximum, there are many intermediate steps — a middle range that allows for very different amounts of capital. Within that middle range, shrinking the scale is possible; its floor is simply whatever the normal minimum happens to be at the time. Separately: when production is checked, markets are glutted, or raw materials become dear, the normal outlay of circulating capital — with the fixed capital unchanged — gets restricted by cutting working time, for instance by working only half-days. In the same way, in times of prosperity, the circulating capital gets abnormally extended on the same fixed-capital base, partly by lengthening the working day and partly by intensifying it. In businesses set up from the outset to handle such swings, people manage partly by these same means and partly by using more workers at once together with reserve fixed capital — reserve locomotives on the railways, for example. But such abnormal swings are set aside here, since we are assuming normal conditions.

Um die Produktion kontinuierlich zu machen, ist also hier die Ausgabe desselben zirkulierenden Kapitals über eine größre Zeitlänge verteilt, über 12 Wochen statt über 9. In jedem gegebnen Zeitabschnitt fungiert also ein verkürztes produktives Kapital; der flüssige Teil des produktiven Kapitals ist verkürzt von 100 auf 75 oder um ein Viertel. Die Gesamtsumme, um welche das während der Arbeitsperiode von 9 Wochen fungierende produktive Kapital verkürzt wird, ist = 9 × 25 = 225 Pfd.St., oder 1/4 von 900 Pfd.St. Aber das Verhältnis der Umlaufszeit zur Umschlagsperiode ist ebenfalls 3/12 = 1/4 . Es folgt daher: Soll die Produktion nicht unterbrochen werden während der Umlaufszeit des in Warenkapital verwandelten produktiven Kapitals, soll sie vielmehr gleichzeitig und kontinuierlich Woche für Woche fortgesetzt werden, und ist hierfür kein besondres zirkulierendes Kapital gegeben, so kann dies nur erreicht werden durch Vermindrung des Produktionsbetriebs, durch Verkürzung des flüssigen Bestandteils des fungierenden produktiven Kapitals. Der so für die Produktion während der Umlaufszeit freigesetzte flüssige Kapitalteil verhält sich zum vorgeschoßnen flüssigen Gesamtkapital wie die Umlaufszeit zur Umschlagsperiode. Es gilt dies, wie bereits bemerkt, nur für Produktionszweige, in denen der Arbeitsprozeß Woche ein, Woche aus, auf derselben Stufenleiter ausgeführt wird, wo also nicht zu verschiednen Arbeitsperioden wechselnde Kapitalsummen auszulegen sind, wie in der Agrikultur.
the exact ratio

So to make production continuous, the outlay of this same circulating capital gets spread over a longer stretch of time — 12 weeks instead of 9. At any given moment, then, a reduced productive capital is at work; the liquid part of the productive capital is cut from £100 to £75, a reduction of one quarter. The total amount by which the productive capital at work during the 9-week working period is reduced comes to 9 × £25 = £225, or one quarter of £900. And the ratio of the circulation time to the whole turnover period is likewise 3/12 = 1/4. So here is what follows: if production is not to be interrupted during the circulation time of the productive capital that has turned into commodity capital — if it is instead to continue, week after week, without a break — and if no separate circulating capital is provided for this, then the only way to achieve it is by cutting back the scale of production, that is, by shrinking the liquid part of the productive capital at work. The liquid part released from the original advance — a portion of the same £900, not newly earned money — that becomes available for use during the circulation time stands to the whole advanced liquid capital in the same ratio as the circulation time stands to the turnover period. This holds, as already noted, only for branches of production where the labour process is carried out week after week on the same scale — not for branches like agriculture, where different working periods require different sums of capital to be laid out.

Nehmen wir aber umgekehrt an, die Anlage des Geschäfts schließe eine Verkürzung der Stufenleiter der Produktion und daher auch des wöchentlich vorzuschießenden flüssigen Kapitals aus, so kann die Kontinuität der Produktion nur erreicht werden durch ein zuschüssiges flüssiges Kapital, im obigen Fall von 300 Pfd.St. Während der Umschlagsperiode von 12 Wochen werden sukzessive 1.200 Pfd.St. vorgeschossen, davon 300 der vierte Teil, wie 3 Wochen von 12. Nach der Arbeitsperiode von 9 Wochen ist der Kapitalwert von 900 Pfd.St. aus der Form von produktivem Kapital in die Form von Warenkapital verwandelt. Seine Arbeitsperiode ist beschlossen, aber sie kann nicht mit demselben Kapital erneuert werden. Während der drei Wochen, worin es die Zirkulationssphäre behaust, als Warenkapital fungiert, befindet es sich mit Bezug auf den Produktionsprozeß in demselben Zustand, als wenn es überhaupt nicht existierte. Es wird hier von allen Kreditverhältnissen abgesehn und daher unterstellt, daß der Kapitalist nur mit eignem Kapital wirtschaftet. Während aber das für die erste Arbeitsperiode vorgeschoßne Kapital, nach vollbrachtem Produktionsprozeß, sich während 3 Wochen im Zirkulationsprozeß aufhält, fungiert ein zuschüssig ausgelegtes Kapital von 300 Pfd.St., so daß die Kontinuität der Produktion nicht unterbrochen wird.
route two: lay out more capital

Now assume the opposite: that the way the business is set up rules out shrinking the scale of production, and so also rules out shrinking the liquid capital that must be advanced each week. Then continuous production can only be achieved by means of additional liquid capital — in the example above, £300. Over the 12-week turnover period, £1,200 is advanced in stages, of which £300 is the fourth part, just as 3 weeks is the fourth part of 12. After the 9-week working period, the capital-value of £900 has been converted from the form of productive capital into the form of commodity capital. Its working period is finished, but it cannot be renewed with the same capital. During the three weeks it spends in the sphere of circulation, functioning as commodity capital, it is — as far as the production process is concerned — exactly as if it did not exist at all. We are leaving all credit relations out of account here, and therefore assuming that the capitalist operates only with his own capital. But while the capital advanced for the first working period spends three weeks in the circulation process once production is complete, an additional capital of £300 is laid out and put to work, so that the continuity of production is not interrupted.

Es ist nun hierbei folgendes zu bemerken:
two points that follow

Now the following should be noted here:

Erstens: Die Arbeitsperiode des zuerst vorgeschoßnen Kapitals von 900 Pfd.St. ist beendet nach 9 Wochen, und es fließt zurück nicht vor 3 Wochen, also erst im Beginn der 13. Woche. Aber eine neue Arbeitsperiode wird sofort wieder eröffnet mit dem zuschüssigen Kapital von 300 Pfd.St. Eben dadurch ist die Kontinuität der Produktion hergestellt.
first: continuity is restored

First: the working period of the £900 first advanced is finished after 9 weeks, and it does not flow back before 3 more weeks have passed — that is, not until the start of the 13th week. But a new working period opens again immediately, using the additional £300. This is exactly what establishes the continuity of production.

Zweitens: Die Funktionen des ursprünglichen Kapitals von 900 Pfd.St. und des am Schluß der ersten Arbeitsperiode von 9 Wochen neu zugeschoßnen Kapitals von 300 Pfd.St., das die zweite Arbeitsperiode nach Schluß der ersten ohne Unterbrechung eröffnet, sind in der ersten Umschlagsperiode genau geschieden, oder können es wenigstens sein, während sie dagegen im Verlauf der zweiten Umschlagsperiode einander durchkreuzen.
second: the two capitals cross

Second: the roles of the original £900 and of the £300 laid out as extra capital at the end of the first 9-week working period — the £300 that opens the second working period the moment the first ends, without a break — are cleanly separated during the first turnover period, or at least can be. But over the course of the second turnover period, the two capitals cross over each other.

Stellen wir uns die Sache sinnlich vor:
walking through the numbers

Let's picture the matter in concrete terms:

Erste Umschlagsperiode von 12 Wochen. Erste Arbeitsperiode von 9 Wochen; der Umschlag des hierin vorgeschoßnen Kapitals wird vollendet im Anfang der 13. Woche. Während der letzten 3 Wochen fungiert das zusätzliche Kapital von 300 Pfd.St. und eröffnet die zweite Arbeitsperiode von 9 Wochen.
period one, laid out

First turnover period, 12 weeks. First working period, 9 weeks; the turnover of the capital advanced here is completed at the start of the 13th week. During the last 3 weeks, the additional capital of £300 is at work, and it opens the second working period of 9 weeks.

Zweite Umschlagsperiode. Anfang der 13. Woche sind 900 Pfd.St. zurückgeflossen und fähig, einen neuen Umschlag zu beginnen. Aber die zweite Arbeitsperiode ist bereits durch die zuschüssigen 300 Pfd.St. in der 10. Woche eröffnet worden; im Beginn der 13. Woche ist durch dasselbe bereits ein Drittel der Arbeitsperiode vollendet, 300 Pfd.St. aus produktivem Kapital in Produkt verwandelt. Da nur noch 6 Wochen zur Beendigung der zweiten Arbeitsperiode nötig, können nur zwei Drittel des zurückgefloßnen Kapitals von 900 Pfd.St., nämlich nur 600 Pfd.St., in den Produktionsprozeß der zweiten Arbeitsperiode eingehn. 300 Pfd.St. sind freigesetzt von den ursprünglichen 900 Pfd.St., um dieselbe Rolle zu spielen, welche das zugeschoßne Kapital von 300 Pfd.St. in der ersten Arbeitsperiode spielte. Ende der 6. Woche der zweiten Umschlagsperiode ist die zweite Arbeitsperiode absolviert. Das in ihr ausgelegte Kapital von 900 Pfd.St. fließt zurück nach 3 Wochen, also Ende der 9. Woche der zweiten zwölfwöchentlichen Umschlagsperiode. Während der 3 Wochen seiner Umlaufszeit tritt ein das freigesetzte Kapital von 300 Pfd.St. Damit beginnt die dritte Arbeitsperiode eines Kapitals von 900 Pfd.St. in der 7. Woche der zweiten Umschlagsperiode oder der 19. Jahreswoche.
300 pounds set free

Second turnover period. At the start of the 13th week, £900 has flowed back and is able to begin a new turnover. But the second working period was already opened in week 10 by the additional £300; by the start of the 13th week, a third of that working period is already finished, £300 having been converted from productive capital into product. Since only 6 more weeks are needed to finish the second working period, only two-thirds of the returned £900 — that is, only £600 — can go into the production process of the second working period. £300 of the original £900 is set free, to play the same role that the additional £300 played during the first working period. By the end of week 6 of the second turnover period, the second working period is complete. The £900 laid out in it flows back after 3 weeks — that is, at the end of week 9 of the second, twelve-week turnover period. During the 3 weeks of its circulation time, the £300 that was set free steps in. This is what starts the third working period of a £900 capital, in week 7 of the second turnover period, or week 19 of the year.

Dritte Umschlagsperiode. Ende der 9. Woche der zweiten Umschlagsperiode neuer Rückfluß von 900 Pfd.St. Aber die dritte Arbeitsperiode hat bereits begonnen in der 7. Woche der vorigen Umschlagsperiode, und 6 Wochen sind bereits zurückgelegt. Sie dauert also nur noch 3 Wochen. Von den zurückgefloßnen 900 Pfd.St. gehn also nur 300 Pfd.St. in den Produktionsprozeß ein. Die vierte Arbeitsperiode füllt die übrigen 9 Wochen dieser Umschlagsperiode aus, und so beginnt mit der 37. Woche des Jahres gleichzeitig die vierte Umschlagsperiode und die fünfte Arbeitsperiode.
period three, wrapping up

Third turnover period. At the end of week 9 of the second turnover period, £900 flows back again. But the third working period already began in week 7 of the previous turnover period, and 6 weeks of it have already gone by. So it only lasts 3 more weeks. Of the £900 that has just flowed back, only £300 goes into the production process. The fourth working period fills the remaining 9 weeks of this turnover period, so that the fourth turnover period and the fifth working period both begin together, in week 37 of the year.

Kap. 15
Zwei weitere Beispiele; die Umschlagszahl verdeckt die Umlaufszeit
Unit u129 established that release is possible in principle and coined "freigesetzt" in the abstract. This unit runs the arithmetic across three more examples to extract the general laws governing WHEN and HOW MUCH — laws the next three units (Cases I-III) apply systematically.
Um den Fall für die Berechnung zu vereinfachen, wollen wir annehmen: Arbeitsperiode 5 Wochen, Umlaufszeit 5 Wochen, also Umschlagsperiode von 10 Wochen: das Jahr zu 50 Wochen gerechnet, Kapitalauslage per Woche 100 Pfd.St. Die Arbeitsperiode erfordert also ein flüssiges Kapital von 500 Pfd.St., und die Umlaufszeit ein zuschüssiges Kapital von fernern 500 Pfd.St. Arbeitsperioden und Umschlagszeiten stellen sich dann wie folgt:
setting up a second example

To make the calculation simple, suppose: a production period of 5 weeks, a circulation time of 5 weeks, so a turnover period of 10 weeks — counting the year as 50 weeks, with £100 advanced per week. The production period thus needs a fluid capital of £500, and the circulation time needs a further £500 of additional capital. Production periods and turnover periods then run as follows:

Arbeitsperiode
Working Period Weeks Commodities in £ Returning 1 1-5 500 end of week 10 2 6-10 500 " " " 15 3 11-15 500 " " " 20 4 16-20 500 " " " 25 5 21-25 500 " " " 30 etc.
Woche
Pfd.St. Ware retourniert
1.
1. - 5.
500
Ende der 10. Woche
2.
6. - 10.
500
Ende der 15. Woche
3.
11. - 15.
500
Ende der 20. Woche
4.
16. - 20.
500
Ende der 25. Woche
5.
21. - 25.
500
Ende der 30. Woche usw.
Wenn die Umlaufszeit = 0, die Umschlagsperiode also gleich der Arbeitsperiode, so ist die Anzahl der Umschläge gleich der Anzahl der Arbeitsperioden im Jahr. Bei fünfwöchentlicher Arbeitsperiode also 50/5 Wochen = 10, und der Wert des umgeschlagnen Kapitals wäre = 500 × 10 = 5.000. In der Tabelle, wo eine Umlaufszeit von 5 Wochen angenommen, werden jährlich ebenfalls Waren zum Wert von 5.000 Pfd.St. produziert, wovon aber 1/10 = 500 Pfd.St. sich stets in Gestalt von Warenkapital befindet und erst nach 5 Wochen zurückfließt. Am Ende des Jahrs hat dann das Produkt der zehnten Arbeitsperiode (46. - 50. Arbeitswoche) seine Umschlagszeit nur zur Hälfte vollendet, indem deren Umlaufszeit in die ersten 5 Wochen des nächsten Jahres fällt.
circulation zero, for comparison

If the circulation time is zero, the turnover period is simply the production period, so the number of turnovers in a year equals the number of production periods in a year. With a five-week production period, that is 50 divided by 5, or 10, and the value of the capital turned over would be 500 times 10, that is, £5,000. In the table above, where the circulation time is taken as 5 weeks, the same £5,000 worth of goods gets produced each year — but one-tenth of it, £500, is always sitting in the form of commodity-capital, and only flows back after 5 weeks. So by the end of the year, the output of the tenth production period (weeks 46 to 50) has completed only half its turnover time, because its circulation time falls into the first 5 weeks of the next year.

Wir wollen noch ein drittes Beispiel nehmen: Arbeitsperiode 6 Wochen, Umlaufszeit 3 Wochen, wöchentlicher Vorschuß im Arbeitsprozeß 100 Pfd.St.
a third example

Let's take a third example: a production period of 6 weeks, a circulation time of 3 weeks, and £100 advanced each week in the production process.

1 .Arbeitsperiode: 1. - 6. Woche. Am Ende der 6. Woche ein Warenkapital von 600 Pfd.St., retourniert Ende der 9. Woche.
period one

First production period: weeks 1 to 6. By the end of week 6 there is a commodity-capital of £600, which flows back at the end of week 9.

2. Arbeitsperiode: 7. - 12. Woche. Während der 7.-9. Woche 300 Pfd.St. zuschüssiges Kapital vorgeschossen. Ende der 9. Woche Rückfluß von 600 Pfd.St. Davon 10. - 12. Woche vorgeschossen 300 Pfd.St.; am Ende der 12. Woche also flüssig 300 Pfd.St., in Warenkapital vorhanden 600 Pfd.St., retourniert am Ende der 15. Woche.
period two

Second production period: weeks 7 to 12. During weeks 7 to 9, £300 of additional capital is advanced. At the end of week 9, £600 flows back. Of that, £300 is advanced for weeks 10 to 12; so by the end of week 12, £300 is free in liquid form, £600 sits in commodity-capital, and it flows back at the end of week 15.

3. Arbeitsperiode: 13.- 18. Woche. 13.- 15. Woche Vorschuß der obigen 300 Pfd.St., dann Rückfluß von 600 Pfd.St., wovon 300 Pfd.St. vorgeschossen für 16. - 18. Woche. Am Ende der 18. Woche 300 Pfd.St. flüssig in Geld; 600 Pfd.St. in Warenkapital vorhanden, das Ende der 21. Woche zurückfließt. (Siehe die eingehendere Darstellung dieses Falls unter II weiter unten.)
period three, and a forward look

Third production period: weeks 13 to 18. In weeks 13 to 15, the £300 just freed is advanced; then £600 flows back, of which £300 is advanced for weeks 16 to 18. By the end of week 18, £300 is free as money; £600 sits in commodity-capital, flowing back at the end of week 21. (A fuller account of this case follows further on, as Case II.)

Es werden also in 9 Arbeitsperioden (= 54 Wochen) 600 × 9 = 5.400 Pfd.St. Ware produziert. Am Ende der neunten Arbeitsperiode besitzt der Kapitalist 300 Pfd.St. in Geld und 600 Pfd.St. in Ware, die ihre Umlaufszeit noch nicht zurückgelegt hat.
nine periods, totalled

So over 9 production periods (54 weeks), £600 times 9, or £5,400 worth of goods, gets produced. By the end of the ninth production period, the capitalist holds £300 in money and £600 in goods that have not yet finished their circulation time.

Bei Vergleichung dieser drei Beispiele finden wir erstens, daß nur beim zweiten Beispiel eine sukzessive Ablösung des Kapitals I von 500 Pfd.St. und des Zuschußkapitals II von ebenfalls 500 Pfd.St. stattfindet, so daß diese zwei Kapitalteile sich getrennt voneinander bewegen, und zwar nur deswegen, weil hier die ganz ausnahmsweise Unterstellung gemacht ist, daß Arbeitsperiode und Umlaufszeit zwei gleiche Hälften der Umschlagsperiode bilden. In allen andern Fällen, welches auch immer die Ungleichheit zwischen den beiden Perioden der Umschlagsperiode sei, durchkreuzen sich die Bewegungen der beiden Kapitale, wie in Beispiel I und III, schon von der zweiten Umschlagsperiode an. Es bildet dann das zuschüssige Kapital II zusammen mit einem Teil des Kapitals I das in der zweiten Umschlagsperiode fungierende Kapital, während der Rest des Kapitals I für die ursprüngliche Funktion des Kapitals II freigesetzt wird. Das während der Umlaufszeit des Warenkapitals tätige Kapital ist hier nicht identisch mit dem ursprünglich für diesen Zweck vorgeschoßnen Kapital II, aber es ist ihm gleich an Wert und bildet dieselbe Aliquote des vorgeschoßnen Gesamtkapitals.
finding one: the two capitals cross

Comparing the three examples, we find, first, that only in the second one do capital I (£500) and additional capital II (also £500) take turns cleanly, moving as two separate blocks. That happens only because this example makes the quite exceptional assumption that the production period and the circulation time are two equal halves of the turnover period. In every other case — whatever the imbalance between the two parts of the turnover period — the movements of the two capitals cross over each other, as in examples I and III, starting from the second turnover period on. Additional capital II then joins with part of capital I to form the capital at work in the second turnover period, while the rest of capital I is freed up for the job capital II was originally advanced for. The capital active during the commodity-capital's circulation time is, at this point, not literally the same capital II originally advanced for that purpose — but it equals it in value and makes up the same fraction of the total capital advanced.

Zweitens: Das Kapital, welches während der Arbeitsperiode fungiert hat, liegt während der Umlaufszeit brach. Im zweiten Beispiel fungiert das Kapital während 5 Wochen Arbeitsperiode und liegt brach während 5 Wochen Umlaufszeit. Die gesamte Zeit also, während deren Kapital I hier im Verlauf des Jahres brachliegt, beträgt ein halbes Jahr. Für diese Zeit tritt dann das Zuschußkapital II ein, das also im vorliegenden Fall seinerseits auch ein halbes Jahr brachliegt. Aber das zuschüssige Kapital, erforderlich, um die Kontinuität der Produktion während der Umlaufszeit zu bewirken, ist nicht bestimmt durch den Gesamtumfang, resp. durch die Summe der Umlaufszeiten innerhalb des Jahres, sondern nur durch das Verhältnis der Umlaufszeit zur Umschlagsperiode. (Es ist hier natürlich vorausgesetzt, daß sämtliche Umschläge unter denselben Bedingungen vorgehn.) Es sind daher im Beispiel II 500 Pfd.St. Zusatzkapital nötig, nicht 2.500 Pfd.St. Es rührt dies einfach daher, daß das Zusatzkapital ebensogut in den Umschlag eintritt, wie das ursprünglich vorgeschoßne, und also ganz wie dieses durch die Zahl seiner Umschläge seine Masse ersetzt.
finding two: the true ratio

Second: the capital that has been at work during the production period lies idle during the circulation time. In the second example, the capital works for the 5-week production period and lies idle for the 5-week circulation time. Added up over the year, that comes to half a year that capital I spends idle. Additional capital II steps in to cover that idle stretch — and so it, too, in this case, lies idle for half a year. But the additional capital needed to keep production continuous through the circulation time is not fixed by the total amount of circulation time added up across the year. It is fixed only by the ratio of the circulation time to the turnover period. (This assumes, of course, that every turnover happens under the same conditions.) That is why example II needs £500 of additional capital, not £2,500. The reason is simple: the additional capital enters into the turnover just as the original capital does, and so, exactly like the original capital, it replaces its own bulk through the number of times it turns over.

Drittens: Ob die Produktionszeit länger ist als die Arbeitszeit, ändert an den hier betrachteten Umständen nichts. Es werden dadurch allerdings die Gesamtumschlagsperioden verlängert, aber wegen dieses verlängerten Umschlags wird kein zuschüssiges Kapital für den Arbeitsprozeß erheischt. Das zuschüssige Kapital hat nur den Zweck, die durch die Umlaufszeit entstehenden Lücken im Arbeitsprozeß auszufüllen; es soll also die Produktion nur vor Störungen schützen, die aus der Umlaufszeit entspringen; Störungen, die aus den eignen Bedingungen der Produktion entstehn, sind auf andre, hier nicht zu betrachtende Weise, auszugleichen. Es gibt dagegen Geschäfte, in denen nur stoßweis, auf Bestellung gearbeitet wird, wo also zwischen den Arbeitsperioden Unterbrechungen eintreten können. Bei solchen fällt die Notwendigkeit des zusätzlichen Kapitals pro tanto weg. Andrerseits ist in den meisten Fällen von Saisonarbeit auch eine gewisse Grenze für die Zeit des Rückflusses gegeben. Dieselbe Arbeit kann mit demselben Kapital nächstes Jahr nicht erneuert werden, wenn inzwischen die Zirkulationszeit dieses Kapitals nicht abgelaufen. Dagegen kann die Umlaufszeit auch kürzer sein als der Abstand von einer Produktionsperiode bis zur nächsten. In diesem Fall liegt das Kapital brach, wenn es nicht in der Zwischenzeit anderweitig angewandt wird.
finding three: not about production time

Third: whether the production time is longer than the labour time makes no difference to what we have been looking at here. That does lengthen the turnover periods overall, but this lengthened turnover calls for no additional capital for the labour process itself. The additional capital exists for one purpose only: to fill the gaps torn in the labour process by the circulation time. Its job is to shield production from disruptions that come from the circulation time — disruptions that come from production's own conditions have to be dealt with in some other way, one we are not considering here. There are, on the other hand, businesses that work only in bursts, on order, so that gaps can open up between one production period and the next. In such businesses, the need for additional capital falls away, to that extent. On the other hand, in most cases of seasonal work there is also some limit on how long the return can take. The same work cannot be started again next year with the same capital if that capital's circulation time has not run its course by then. But the circulation time can also be shorter than the gap between one production period and the next. In that case the capital lies idle, unless it is put to some other use in the meantime.

Viertens: Das für eine Arbeitsperiode vorgeschoßne Kapital, z.B. die 600 Pfd.St. im Beispiel III, werden teils in Roh- und Hilfsstoffen ausgelegt, in produktivem Vorrat für die Arbeitsperiode, in konstantem zirkulierendem Kapital, teils in variablem zirkulierendem Kapital, in Zahlung der Arbeit selbst. Der in konstantem zirkulierendem Kapital ausgelegte Teil mag nicht für dieselbe Zeitlänge in der Form von produktivem Vorrat existieren, z.B. das Rohmaterial nicht für die ganze Arbeitsperiode daliegen, die Kohlen nur alle zwei Wochen beschafft werden. Indes - da hier Kredit noch ausgeschlossen - muß dieser Teil des Kapitals, soweit er nicht in Form von produktivem Vorrat disponibel ist, in der Form von Geld disponibel bleiben, um nach Bedarf in produktiven Vorrat verwandelt zu werden. Es ändert dies nichts an der Größe des für 6 Wochen vorgeschoßnen konstanten zirkulierenden Kapitalwerts. Dagegen - abgesehn von dem Geldvorrat für unvorhergesehene Ausgaben, dem eigentlichen Reservefonds zur Ausgleichung von Störungen - wird der Arbeitslohn in kürzern
the wage exception

The capital advanced for one production period — the £600 in example III, say — is laid out partly in raw and auxiliary materials, as a productive stock for the production period, that is, as constant circulating capital, and partly as variable circulating capital, in payment for labour itself. The part laid out as constant circulating capital need not sit as productive stock for the same stretch of time throughout — the raw material, for instance, might not lie there for the whole production period, and coal might only be brought in every two weeks. Still, since credit is ruled out here, whatever part of this capital is not available in the form of productive stock has to remain available in money form, ready to be converted into productive stock as needed. This changes nothing about the size of the constant circulating capital-value advanced for the 6 weeks. Wages, though — leaving aside the money reserve for unforeseen expenses, the actual reserve fund for smoothing out disruptions — are paid out over shorter periods.

Perioden, meist wöchentlich gezahlt. Falls also nicht der Kapitalist den Arbeiter zwingt, ihm längre Vorschüsse seiner Arbeit zu machen, muß das für Arbeitslohn nötige Kapital in Geldform vorhanden sein. Beim Rückfluß des Kapitals muß also ein Teil in Geldform festgehalten werden zur Zahlung der Arbeit, während der andre Teil in produktiven Vorrat verwandelt werden kann.
wages stay in money form

Wages are usually paid weekly. So unless the capitalist forces the worker to extend credit on their own labour, the capital needed for wages has to be on hand in money form. This means that when the capital flows back, part of it has to be kept in money form to pay for labour, while the rest can be converted into productive stock.

Das Zuschußkapital teilt sich ein ganz wie das ursprüngliche. Was es aber von Kapital I unterscheidet ist, daß es (von Kreditverhältnissen abgesehn), um für seine eigne Arbeitsperiode disponibel zu sein, vorgeschossen sein muß schon während der ganzen Dauer der ersten Arbeitsperiode von Kapital I, in die es nicht eingeht. Während dieser Zeit kann es, teilweise wenigstens, schon in konstantes zirkulierendes Kapital verwandelt werden, das für die ganze Umschlagsperiode vorgeschossen ist. Wieweit es diese Form annimmt oder wieweit es in der Form von zuschüssigem Geldkapital verharrt, bis zum Moment, wo diese Verwandlung notwendig wird, wird abhängen teils von den besondren Produktionsbedingungen bestimmter Geschäftszweige, teils von Lokalumständen, teils von Preisschwankungen der Rohstoffe etc. Das gesellschaftliche Gesamtkapital betrachtet, wird sich stets ein mehr oder minder bedeutender Teil dieses zuschüssigen Kapitals für längre Zeit im Zustand des Geldkapitals befinden. Was dagegen den in Arbeitslohn vorzuschießenden Teil des Kapitals II betrifft, so wird er stets erst allmählich in Arbeitskraft verwandelt im Maß, wie kleinre Arbeitsperioden ablaufen und bezahlt werden. Dieser Teil des Kapitals II ist also für die ganze Dauer der Arbeitsperiode in der Form des Geldkapitals vorhanden, bis er durch Verwandlung in Arbeitskraft in die Funktion des produktiven Kapitals eingeht.
how the extra capital sits

Additional capital II splits up into the same parts as the original capital. But what sets it apart from capital I is this: leaving credit relations aside, in order to be ready for its own production period, it has to be advanced already during the whole of capital I's first production period — a period it plays no part in. During that time, at least part of it can already be converted into constant circulating capital, advanced for the whole turnover period. How far it takes that form, or how far it stays as additional money-capital until the moment conversion becomes necessary, depends partly on the particular production conditions of the branch of business, partly on local circumstances, partly on price swings in raw materials, and so on. Looking at the total social capital, some more or less sizeable part of this additional capital will always sit in the state of money-capital for a longer stretch of time. The part of capital II earmarked for wages, though, is different: it only gets converted into labour-power gradually, as each shorter production period runs its course and gets paid. So this part of capital II exists in money-capital form for the entire length of the production period, until it is converted into labour-power and enters into the function of productive capital.

Dies Hereinkommen des zur Verwandlung der Umlaufszeit von Kapital I in Produktionszeit erheischten Zuschußkapitals vermehrt also nicht nur die Größe des vorgeschoßnen Kapitals und die Länge der Zeit, wofür das Gesamtkapital notwendig vorgeschossen wird, sondern es vermehrt auch spezifisch den Teil des vorgeschoßnen Kapitals, der als Geldvorrat existiert, also sich im Zustand von Geldkapital befindet und die Form von potentiellem Geldkapital besitzt.
the money reserve grows

So the arrival of this additional capital — needed to turn capital I's circulation time into production time — does more than just increase the size of the capital advanced and the length of time for which the total capital necessarily has to be advanced. It specifically increases the part of the advanced capital that exists as a money reserve — that is, the part sitting in the state of money-capital, in the form of potential money-capital.

Dies findet ebenso statt - sowohl, was den Vorschuß in der Form von produktivem Vorrat wie in der Form von Geldvorrat betrifft -, wenn die durch die Umlaufszeit erheischte Spaltung des Kapitals in zwei Teile: Kapital für die erste Arbeitsperiode und Ersatzkapital für die Umlaufszeit, nicht durch Vergrößrung des ausgelegten Kapitals, sondern durch Vermindrung der Stufenleiter der Produktion hervorgebracht ist. Im Verhältnis zur Stufenleiter der Produktion wächst hier eher noch die Zunahme des in Geldform gebannten Kapitals.
or: shrink the scale instead

The same thing happens — both for the part advanced as productive stock and for the part advanced as a money reserve — when the split that the circulation time forces on the capital, into capital for the first production period and replacement capital for the circulation time, comes about not by enlarging the capital laid out, but by shrinking the scale of production instead. Relative to the scale of production, the growth in the capital locked up in money form is, if anything, even greater on this route.

Was durch diese Verteilung des Kapitals in ursprünglich produktives und Zuschußkapital überhaupt erreicht ist, ist die ununterbrochne Aufeinanderfolge der Arbeitsperioden, die beständige Funktion eines gleichgroßen Teils des vorgeschoßnen Kapitals als produktives Kapital.
what the split achieves

What this whole splitting of the capital into an originally productive part and an additional part achieves is simply the unbroken succession of production periods — the constant functioning, as productive capital, of an equally sized part of the capital advanced.

Sehn wir uns Beispiel II an. Das beständig im Produktionsprozeß befindliche Kapital ist 500 Pfd.St. Da die Arbeitsperiode = 5 Wochen, arbeitet es während 50 Wochen (als Jahr angenommen) zehnmal. Das Produkt beträgt daher auch, abgesehn vom Mehrwert, 10 × 500 = 5.000 Pfd.St. Vom Standpunkt des unmittelbar und ununterbrochen im Produktionsprozeß arbeitenden Kapitals - eines Kapitalwerts von 500 Pfd.St. - erscheint also die Umlaufszeit als gänzlich ausgelöscht. Die Umschlagsperiode fällt zusammen mit der Arbeitsperiode; die Umlaufszeit ist = 0 gesetzt.
from this angle, circulation vanishes

Let's look at example II. The capital constantly at work in the production process is £500. Since the production period is 5 weeks, it works ten times over during the 50 weeks we are counting as a year. So the output, setting surplus-value aside, comes to 10 times 500, or £5,000. From the standpoint of the capital directly and continuously at work in the production process — a capital-value of £500 — the circulation time appears to have vanished completely. The turnover period appears to coincide with the production period; the circulation time appears to be set at zero.

Wäre dagegen das Kapital von 500 Pfd.St. in seiner produktiven Tätigkeit regelmäßig durch die Umlaufszeit von 5 Wochen gehemmt, so daß es erst wieder produktionsfähig wäre nach Beendigung der ganzen Umschlagsperiode von 10 Wochen, so hätten wir in den 50 Jahreswochen 5 zehnwöchentliche Umschläge; darin 5 fünfwöchentliche Produktionsperioden, also zusammen 25 Produktionswochen mit einem Gesamtprodukt von 5 × 500 = 2.500 Pfd.St.; 5 fünfwöchentliche Umlaufszeiten, also Gesamtumlaufszeit ebenfalls 25 Wochen. Sagen wir hier: Das Kapital von 500 Pfd.St. hat fünfmal im Jahre umgeschlagen, so ist sichtbar und klar, daß während der Hälfte jeder Umschlagsperiode dies Kapital von 500 Pfd.St. gar nicht als produktives Kapital fungiert hat und daß, alles zusammengerechnet, es nur während eines halben Jahres fungiert hat, während des andern Halbjahrs aber gar nicht.
the honest version: half idle

But suppose instead that this £500 capital were regularly held back in its productive activity by the 5-week circulation time, so that it could only become fit for production again once the whole 10-week turnover period was over. Then in the 50 weeks of the year we would have 5 turnovers of ten weeks each — made up of 5 production periods of 5 weeks, so 25 production-weeks in all, with a total output of 5 times 500, or £2,500; and 5 circulation times of 5 weeks, so a total circulation time likewise of 25 weeks. If we now say that the £500 capital turned over five times in the year, it is plain and clear that for half of every turnover period, this £500 capital did not function as productive capital at all — and that, added up, it functioned for only half the year, and not at all during the other half.

In unserm Beispiel tritt für die Dauer dieser fünf Umlaufszeiten das Ersatzkapital von 500 Pfd.St. ein, und dadurch wird der Umschlag von 2.500 auf 5.000 Pfd.St. erhöht. Aber das vorgeschoßne Kapital ist nun auch 1.000 Pfd.St. statt 500 Pfd.St. 5.000 dividiert durch 1.000 ist gleich 5. Also statt der zehn Umschläge fünf. So wird denn auch in der Tat gerechnet. Aber indem es dann heißt, das Kapital von 1.000 Pfd.St. hat fünfmal im Jahr umgeschlagen, verschwindet in den hohlen Kapitalistenschädeln die Erinnerung an die Umlaufszeit, und eine konfuse Vorstellung bildet sich, als ob dies Kapital während der sukzessiven fünf Umschläge beständig im Produktionsprozeß fungiert habe. Sagen wir aber, dies Kapital von 1.000 Pfd.St. hat fünfmal umgeschlagen, so ist darin sowohl Umlaufszeit wie Produktionszeit eingeschlossen. In der Tat, wären wirklich 1.000 Pfd.St. im Produktionsprozeß fortwährend tätig gewesen, so müßte das Produkt unter unsern Voraussetzungen 10.000 Pfd.St. statt 5.000 sein. Um aber 1.000 Pfd.St. fortwährend im Produktionsprozeß zu haben, müßten dann auch 2.000 Pfd.St. überhaupt vorgeschossen sein. Die Ökonomen, bei denen überhaupt nichts Klares über den Mechanismus des Umschlags zu finden, übersehn fortwährend dies Hauptmoment, daß stets nur ein Teil des industriellen Kapitals tatsächlich im Produktionsprozeß engagiert sein kann, wenn die Produktion ununterbrochen vorangehn soll. Während der eine Teil sich in der Produktionsperiode, muß stets ein andrer Teil sich in der Zirkulationsperiode befinden. Oder mit andern Worten, der eine Teil kann nur als produktives Kapital fungieren unter der Bedingung, daß ein andrer Teil in der Form von Waren- oder Geldkapital der eigentlichen Produktion entzogen bleibt. Indem dies übersehn wird, wird überhaupt die Bedeutung und Rolle des Geldkapitals übersehn.
the illusion economists fall for

In our example, the £500 replacement capital steps in for the duration of these five circulation times, and that raises the turnover from £2,500 to £5,000. But the capital advanced is now £1,000 instead of £500. £5,000 divided by £1,000 is 5. So five turnovers instead of ten — and this is in fact how it gets calculated. But once people start saying that the £1,000 capital "turned over five times in the year," the memory of the circulation time vanishes from the capitalists' hollow skulls, and a confused idea takes hold — as if this capital had been constantly at work in the production process throughout those five successive turnovers. Yet if we say this £1,000 capital turned over five times, that figure includes both circulation time and production time. If £1,000 really had been continuously at work in the production process, the output, on our assumptions, would have to be £10,000, not £5,000. And to keep £1,000 continuously at work in production, a full £2,000 would have to be advanced in the first place. The economists — among whom nothing clear about the mechanism of turnover is to be found at all — constantly overlook this key point: that only part of industrial capital can ever actually be engaged in the production process at any moment, if production is to proceed without interruption. While one part is in its production period, some other part always has to be in its circulation period. Put differently, one part can function as productive capital only on condition that another part, in the form of commodity-capital or money-capital, stays withdrawn from actual production. And by overlooking this, they overlook the significance and role of money-capital altogether.

Kap. 15
Fall I: Arbeitsperiode gleich der Zirkulationsperiode
Unit u130 closed on the danger of a turnover count that hides circulation time. This unit opens the chapter's first controlled case and shows exactly how careful the counting has to be — first for one business's two capitals, then for the whole social capital.
Wir haben jetzt zu untersuchen, welche Verschiedenheit im Umschlag sich herausstellt, je nachdem die beiden Abschnitte der Umschlagsperiode - Arbeitsperiode und Zirkulationsperiode - einander gleich sind, oder die Arbeitsperiode größer oder kleiner als die Zirkulationsperiode ist, und ferner, wie dies auf die Bindung von Kapital in der Form Geldkapital wirkt.
the question: equal, longer, or shorter

Now we need to look at what difference shows up in turnover depending on whether the two parts of the turnover period — the working period and the circulation period — are equal to each other, or the working period is longer or shorter than the circulation period. And further, how this affects the amount of capital tied up in the form of money-capital.

Wir nehmen an, daß das wöchentlich vorzuschießende Kapital in allen Fällen 100 Pfd.St. und die Umschlagsperiode 9 Wochen sei, also das für jede Umschlagsperiode vorzuschießende Kapital = 900 Pfd.St.
the numbers: £100 a week, a 9-week period

We assume that in every case the capital to be advanced each week is £100, and the turnover period is 9 weeks — so the capital to be advanced for each turnover period is £900.

Dieser Fall, obgleich in der Wirklichkeit nur zufällige Ausnahme, muß als Ausgangspunkt für die Betrachtung dienen, weil hier die Verhältnisse sich am einfachsten und handgreiflichsten darstellen.
why start with this exact case

This case, although in reality only an accidental exception, has to serve as our starting point, because here the relations show themselves in the simplest and most tangible way.

Die zwei Kapitale (Kapital I, das für die erste Arbeitsperiode vorgeschossen, und Zusatzkapital II, das während der Zirkulationsperiode von Kapital I fungiert) lösen sich in ihren Bewegungen ab, ohne sich zu durchkreuzen. Mit Ausnahme der ersten Periode ist daher auch jedes der beiden Kapitale nur für seine eigne Umschlagsperiode vorgeschossen. Die Umschlagsperiode sei, wie in den folgenden Beispielen, 9 Wochen, Arbeitsperiode und Umlaufsperiode also je 4 1/2 Woche. Dann haben wir folgendes Jahresschema:
two capitals, alternating without overlap

The two capitals — Capital I, advanced for the first working period, and additional Capital II, which does its work during Capital I's circulation period — take turns in their movements without ever crossing each other. So, apart from the very first period, each of the two capitals is only ever advanced for its own turnover period. Let the turnover period be, as in the examples that follow, 9 weeks, so the working period and the circulation period are each 4 1/2 weeks. Then we get the following scheme for the year:

Tabelle I
Kapital I
Umschlagsperioden
Arbeitsperioden
Vorschuß Pfd.St.
Zirkulationsperioden
Woche
Woche
Woche
I.
1. - 9.
1. - 4
1
/
2
.
450
4
1
/
2
. - 9.
II.
10. - 18.
10. - 13
1
/
2
.
450
13
1
/
2
. - 18.
III.
19. - 27.
19. - 22
1
/
2
.
450
22
1
/
2
. - 27.
IV.
28. - 36.
28. - 31
1
/
2
.
450
31
1
/
2
. - 36.
V.
37. - 45.
37. - 40
1
/
2
.
450
40
1
/
2
. - 45.
VI.
46. - (54.)
46. - 49
1
/
2
.
450
49
1
/
2
. - (54.)
31
Kapital II
Umschlagsperioden
Arbeitsperioden
Vorschuß Pfd.St.
Zirkulationsperioden
Woche
Woche
Woche
I.
4
1
/
2
. - 13
1
/
2
.
4
1
/
2
. - 9.
450
10. - 13
1
/
2
.
II.
13
1
/
2
. - 22
1
/
2
.
13
1
/
2
. - 18.
450
19. - 22
1
/
2
.
III.
22
1
/
2
. - 31
1
/
2
.
22
1
/
2
. - 27.
450
28. - 31
1
/
2
.
IV.
31
1
/
2
. - 40
1
/
2
.
31
1
/
2
. - 36.
450
37. - 40
1
/
2
.
V.
40
1
/
2
. - 49
1
/
2
.
40
1
/
2
. - 45.
450
46. - 49
1
/
2
.
VI.
49
1
/
2
. - (58
1
/
2
.)
49
1
/
2
. - (54.)
450
(55. - 58
1
/
2
.)
TABLE I
Capital I
Turnover Period (weeks) Working Period (weeks) Advance in £ Circulation Period (weeks)
I 1-9 1-first half week 5 450 second half week 5-9
II 10-18 10-first half week 14 450 second half week 14-18
III 19-27 19-first half week 23 450 second half week 23-27
IV 28-36 28-first half week 32 450 second half week 32-36
V 37-45 37-first half week 41 450 second half week 41-45
VI 46-(54) 46-first half week 50 450 second half week 50-(54)
Capital II
Turnover Period (weeks) Working Period (weeks) Advance in £ Circulation Period (weeks)
I second half week 5-14 second half week 5-9 450 10-first half week 14
II 14-23 14-18 450 19-first half week 23
III 23-32 23-27 450 28-first half week 32
IV 32-41 32-36 450 37-first half week 41
V 41-50 41-45 450 46-first half week 50
VI 50-(59) 50-(54) 450 55-(first half week 59)
Innerhalb der 51 Wochen, die wir hier als Jahr annehmen, hat Kapital I sechs volle Arbeitsperioden absolviert, also für 6 ×
Capital I's output: six periods

Within the 51 weeks that we are counting here as the year, Capital I has completed six full working periods, producing, for 6 ×

450 = 2.700 Pfd.St., und Kapital II in fünf vollen Arbeitsperioden für 5 ×
Capital II's output: five periods

£450 = £2,700; and Capital II, in five full working periods, for 5 ×

450 = 2.250 Pfd.St. Waren produziert. Dazu hat Kapital II in den letzten 1 1/2 Wochen des Jahrs (Mitte der 50. bis Ende der 51 Woche) noch für 150 Pfd.St. produziert - Gesamtprodukt in 51 Wochen: 5.100 Pfd.St. In bezug auf unmittelbare Produktion von Mehrwert, der nur während der Arbeitsperiode produziert wird, hätte das Gesamtkapital von 900 Pfd.St. also 5 2/3 mal umgeschlagen (5 2/3 × 900 = 5.100 Pfd.St.). Aber wenn wir den wirklichen Umschlag betrachten, so hat Kapital I 5 2/3 mal umgeschlagen, da es am Ende der 51 Woche noch 3 Wochen seiner sechsten Umschlagsperiode zu absolvieren hat; 5 2/3 × 450 = 2.550 Pfd.St.; und Kapital II 5 1/6 mal, da es erst 1 1/2 Woche seiner sechsten Umschlagsperiode vollendet hat, also noch 7 1/2 Woche davon ins nächste Jahr fallen; 5 1/6 × 450 = 2.325 Pfd.St.; wirklicher Gesamtumschlag = 4.875 Pfd.St.
actual turnover: 5 2/3 and 5 1/6

£450 = £2,250 worth of goods. On top of that, Capital II produced a further £150 worth in the last 1 1/2 weeks of the year (from the middle of week 50 to the end of week 51) — total product over the 51 weeks: £5,100. If we look only at the direct production of surplus-value, which happens only during the working period, the total capital of £900 would then have turned over five whole times plus two-thirds of a sixth period (5 2/3 × 900 = £5,100). But if we look at the actual turnover, Capital I has turned over five whole times plus two-thirds of its sixth turnover period, since at the end of week 51 it still has 3 weeks of its sixth turnover period left to run; 5 2/3 × 450 = £2,550. And Capital II has turned over five whole times plus one-sixth of its sixth turnover period, since it has completed only 1 1/2 weeks of that sixth period, leaving 7 1/2 weeks of it falling into the next year; 5 1/6 × 450 = £2,325. The actual total turnover is £4,875.

Betrachten wir Kapital I und Kapital II als zwei gegeneinander ganz selbständige Kapitale. In ihren Bewegungen sind sie ganz selbständig; diese Bewegungen ergänzen sich nur, weil ihre Arbeits- und Zirkulationsperioden einander direkt ablösen. Sie können als zwei ganz unabhängige, verschiednen Kapitalisten gehörige Kapitale betrachtet werden.
picture them as two separate capitalists

Let us consider Capital I and Capital II as two capitals entirely independent of each other. In their movements they really are entirely independent; these movements only complement each other because their working periods and circulation periods directly relieve one another in turn. They can be treated as two wholly independent capitals, belonging to two different capitalists.

Das Kapital I hat fünf vollständige und zwei Drittel seiner sechsten Umschlagsperiode zurückgelegt. Es befindet sich am Ende des Jahres in der Form von Warenkapital, dem zu seiner normalen Realisierung noch 3 Wochen erforderlich sind. Während dieser Zeit kann es nicht in den Produktionsprozeß eingehn. Es fungiert als Warenkapital: es zirkuliert. Von seiner letzten Umschlagsperiode hat es nur 2/3 zurückgelegt. Dies wird so ausgedrückt: es hat nur 2/3 mal umgeschlagen, nur 2/3 seines Gesamtwerts haben einen vollständigen Umschlag zurückgelegt. Wir sagen: 450 Pfd.St. legen ihren Umschlag in 9 Wochen zurück, also 300 Pfd.St. in 6 Wochen. Bei dieser Ausdrucksweise werden die organischen Verhältnisse zwischen den beiden spezifisch verschiednen Bestandteilen der Umschlagszeit vernachlässigt. Der exakte Sinn davon, daß das vorgeschoßne Kapital von 450 Pfd.St. 5 2/3 Umschläge gemacht, ist nur, daß es fünf Umschläge ganz und vom sechsten nur 2/3 zurückgelegt hat. Dagegen hat der Ausdruck, daß das umgeschlagne Kapital = 5 2/3 mal das vorgeschoßne Kapital, also im obigen Fall = 5 2/3 × 450 Pfd.St. = 2.550 Pfd.St., das Richtige, daß, wenn dies Kapital von 450 Pfd.St. nicht ergänzt wäre durch ein andres Kapital von 450 Pfd.St., in der Tat ein Teil davon sich im Produktionsprozeß, ein andrer im Zirkulationsprozeß befinden müßte. Soll die Umschlagszeit in der Masse des umgeschlagnen Kapitals ausgedrückt werden, so kann sie immer nur in einer Masse von vorhandnem Wert (in der Tat von fertigem Produkt) ausgedrückt werden. Der Umstand, daß das vorgeschoßne Kapital sich nicht in einem Zustand befindet, worin es den Produktionsprozeß von neuem eröffnen kann, drückt sich darin aus, daß nur ein Teil davon sich im produktionsfähigen Zustand befindet, oder daß, um sich im Zustand kontinuierlicher Produktion zu befinden, das Kapital geteilt werden müßte in einen Teil, der sich beständig in der Produktionsperiode und einen andern Teil, der sich beständig in der Zirkulationsperiode befände, je nach dem Verhältnis dieser Perioden zueinander. Es ist dasselbe Gesetz, das die Masse des beständig fungierenden produktiven Kapitals bestimmt durch das Verhältnis der Umlaufszeit zur Umschlagszeit.
what '5 2/3 turnovers' actually means

Capital I has completed five whole turnover periods, plus two-thirds of its sixth. At the end of the year it is sitting there in the form of commodity-capital, and it still needs 3 more weeks before it can be normally realized. During that time it cannot re-enter the production process. It is functioning as commodity-capital: it is circulating. Of its last, sixth turnover period, it has covered only two-thirds. This is put by saying it has turned over only 2/3 of a time — that only 2/3 of its total value has completed a full turnover. We say: £450 completes its turnover in 9 weeks, so £300 completes a turnover in 6 weeks. But this way of putting it glosses over the organic relation between the two specifically different parts that make up turnover time. The exact meaning of saying that the advanced capital of £450 has made 5 2/3 turnovers is only this: it has completed five turnovers in full, and of the sixth, only two-thirds. By contrast, the statement that the turned-over capital equals 5 2/3 times the advanced capital — in the case above, 5 2/3 × £450 = £2,550 — is correct in a different sense: it captures that if this £450 were not backed up by another £450, part of it would indeed have to be sitting in the production process while another part sat in the circulation process at the same time. If turnover time is to be expressed as a mass of turned-over capital, it can only ever be expressed as a mass of value that already exists — in fact, of finished product. The fact that the advanced capital is not in a state where it can open a new round of production by itself shows up in this: only part of it is fit to produce, or else, to keep production continuous, the capital would have to be split — one part permanently sitting in the production period, the other permanently in the circulation period, in whatever ratio those two periods stand to each other. It is the very same law that fixes the mass of productive capital that is constantly at work, by the ratio of circulation time to turnover time.

Von Kapital II sind Ende der 51. Jahreswoche, die wir hier als Jahresschluß annehmen, vorgeschossen 150 Pfd.St. in der Produktion von unfertigem Produkt. Ein fernerer Teil befindet sich in der Form von flüssigem konstantem Kapital - Rohstoff etc.-, d.h. in einer Form, worin es als produktives Kapital im Produktionsprozeß fungieren kann. Aber ein dritter Teil befindet sich in Geldform, nämlich zum mindesten der Betrag des Arbeitslohns für den Rest der Arbeitsperiode (3 Wochen), der aber erst Ende jeder Woche bezahlt wird. Obgleich nun dieser Teil des Kapitals am Anfang des neuen Jahrs, also eines neuen Umschlagszyklus, sich nicht in der Form von produktivem Kapital befindet, sondern in der von Geldkapital, in der es nicht in den Produktionsprozeß eingehn kann, so befindet sich dennoch bei Eröffnung des neuen Umschlags flüssiges variables Kapital, d.h. lebendige Arbeitskraft, im Produktionsprozeß tätig. Diese Erscheinung kommt daher, daß die Arbeitskraft zwar am Anfang der Arbeitsperiode, sage per Woche, gekauft und verbraucht, aber erst Ende der Woche gezahlt wird. Das Geld wirkt hier als Zahlungsmittel. Es befindet sich daher einerseits als Geld noch in der Hand des Kapitalisten, während andrerseits die Arbeitskraft, die Ware, worin es umgesetzt wird, sich schon im Produktionsprozeß tätig befindet, derselbe Kapitalwert hier also doppelt erscheint.
the same value, appearing twice

Of Capital II, by the end of week 51 — which we are treating here as the close of the year — £150 has been advanced into producing unfinished product. A further part is sitting in the form of fluid constant capital — raw materials and the like — that is, in a form in which it can function as productive capital in the production process. But a third part is sitting in money form: at least the amount of wages for the rest of the working period (3 weeks), which, however, is only paid at the end of each week. Now even though this part of the capital, at the start of the new year — a new turnover cycle — is not in the form of productive capital but of money-capital, and in that form cannot enter the production process, all the same, when the new turnover opens, fluid variable capital — that is, living labour-power — is already at work in the production process. This happens because labour-power is bought and used up at the start of the working period, say by the week, but is only paid for at the end of the week. Here money functions as means of payment. So on one side the money is still sitting in the capitalist's hand, while on the other side the labour-power — the commodity it is to be exchanged for — is already at work in the production process. The very same capital-value thus appears here twice at once.

Betrachten wir bloß die Arbeitsperioden, so hat Kapital I produziert 6 × 450 = 2.700 Pfd.St. Kapital II produziert 5 1/3 × 450 = 2.400 Pfd.St. also zusammen 5 2/3 × 900 = 5.100 Pfd.St.
totals, counting only working periods

If we look only at the working periods, Capital I has produced 6 × £450 = £2,700. Capital II has produced 5 1/3 × £450 = £2,400. Together, that comes to 5 2/3 × £900 = £5,100.

Das vorgeschoßne Gesamtkapital von 900 Pfd.St. hat also 5 2/3 mal im Jahr als produktives Kapital fungiert. Ob stets 450 Pfd.St. im Produktionsprozeß und stets 450 Pfd.St. im Zirkulationsprozeß abwechselnd, oder ob 900 Pfd.St. während je 4 1/2 Wochen im Produktionsprozeß und während der folgenden 4 1/2 Wochen im Zirkulationsprozeß fungieren, ist für die Produktion von Mehrwert einerlei.
either way, the same surplus-value

So the total advanced capital of £900 has functioned as productive capital 5 2/3 times over the year. Whether it is always £450 in the production process and £450 in the circulation process, alternating, or whether it is the full £900 in the production process for 4 1/2 weeks and then in the circulation process for the following 4 1/2 weeks — for the production of surplus-value, it comes to exactly the same thing.

Betrachten wir dagegen die Umschlagsperioden, so hat Kapital I 5 2/3 × 450 = 2.550 Pfd.St. Kapital II 5 1/6 × 450 = 2.325 Pfd.St. also das Gesamtkapital 5 5/12 × 900 = 4.875 Pfd.St. umgeschlagen. Denn der Umschlag des Gesamtkapitals ist gleich der Summe der von I und II umgeschlagnen Beträge, dividiert durch die Summe von I und II.
the total's turnover: sum over sum

If instead we look at the turnover periods, Capital I has turned over 5 2/3 × £450 = £2,550, and Capital II has turned over 5 1/6 × £450 = £2,325 — so the total capital has turned over 5 5/12 × £900 = £4,875. That is because the turnover figure for the total capital is the sum of what I and II each actually turned over, divided by the sum of what I and II were each advanced.

Es ist zu bemerken, daß Kapital I und II, wenn sie selbständig gegeneinander wären, doch nur verschiedne selbständige Teile des in derselben
the same logic, at the social level

It is worth noting that Capital I and Capital II, even if they stood independent of each other, would still only be different independent parts of the social capital advanced in the same

Produktionssphäre vorgeschoßnen gesellschaftlichen Kapitals bilden würden. Bestände also das gesellschaftliche Kapital innerhalb dieser Produktionssphäre nur aus I und II, so würde für den Umschlag des gesellschaftlichen Kapitals in dieser Sphäre dieselbe Rechnung gelten, die hier für die beiden Bestandteile I und II desselben Privatkapitals gilt. Weiter ausgedehnt kann jeder in einer besondern Produktionssphäre angelegte Teil des gesamten Gesellschaftskapitals so berechnet werden. Schließlich aber ist die Umschlagszahl des gesamten gesellschaftlichen Kapitals gleich der Summe des in den verschiednen Produktionssphären umgeschlagnen Kapitals, dividiert durch die Summe des in diesen Produktionssphären vorgeschoßnen Kapitals.
extending it to all of social capital

sphere of production. So if the social capital in this sphere consisted of nothing but I and II, then the very same calculation that applies here to the two parts, I and II, of one private capital would hold for the turnover of the social capital in that sphere. Carried further, every part of the total social capital invested in a particular sphere of production can be worked out the same way. And in the end, the turnover figure for the entire social capital equals the sum of the capital turned over across the various spheres of production, divided by the sum of the capital advanced across those spheres of production.

Es ist ferner zu bemerken, daß, wie hier in demselben Privatgeschäft die Kapitale I und II, genau genommen, verschiedne Umschlagsjahre haben (indem der Umschlagszyklus von Kapital II 4 1/2 Woche später beginnt als der von Kapital I, das Jahr von I daher 4 1/2 Woche früher abläuft als das von II), so auch die verschiednen Privatkapitale in derselben Produktionssphäre ihre Geschäfte in ganz verschiednen Zeitabschnitten beginnen und ihren Jahresumschlag daher auch zu verschiednen Zeiten im Jahr vollenden. Dieselbe Durchschnittsrechnung, die wir oben für I und II anwandten, reicht auch hier aus, um die Umschlagsjahre der verschiednen selbständigen Teile des gesellschaftlichen Kapitals auf ein einheitliches Umschlagsjahr zu reduzieren.
different businesses, one turnover year

It is also worth noting: just as, within this one private business, Capital I and Capital II strictly speaking have different turnover years — since Capital II's turnover cycle starts 4 1/2 weeks later than Capital I's, so Capital I's year runs out 4 1/2 weeks earlier than Capital II's — so too the different private capitals within the same sphere of production start their businesses at quite different points in time, and so complete their year's turnover at different times of year as well. The same averaging calculation we used above for I and II is enough here too, to reduce the turnover years of the various independent parts of the social capital to one unified turnover year.

Kap. 15
Fall II: Arbeitsperiode größer als die Zirkulationsperiode
Unit u131's Case I handed capitals off cleanly, one waiting while the other worked. Case II shows that as soon as the working period runs longer than the circulation period, the tidy relief picture breaks down — the capitals interlock, and release, only sketched as a possibility before, becomes the mechanism the rest of the chapter has to reckon with.
Es durchkreuzen sich die Arbeits- und Umschlagsperioden der Kapitale I und II, statt einander abzulösen. Gleichzeitig findet hier Freisetzung von Kapital statt, was bei dem bisher betrachteten Fall nicht vorkam.
capitals cross; capital gets released

This time, the working periods and turnover periods of capital I and capital II cross each other instead of neatly following one after another. And here, unlike the case we just worked through, some capital gets released and freed up along the way.

Es ändert dies aber nichts daran, daß nach wie vor 1. die Zahl der Arbeitsperioden des vorgeschoßnen Gesamtkapitals gleich ist der Summe des Werts des Jahresprodukts beider vorgeschoßnen Kapitalteile, dividiert durch das vorgeschoßne Gesamtkapital, und 2. die Umschlagszahl des Gesamtkapitals gleich ist der Summe der beiden umgeschlagnen Beträge, dividiert durch die Summe der beiden vorgeschoßnen Kapitale. Wir müssen auch hier beide Kapitalteile so betrachten, als vollzögen sie voneinander ganz unabhängige Umschlagsbewegungen.
same two formulas still hold

Even so, two things still hold exactly as before. First, the number of working periods that the whole advanced capital goes through equals the value of the year's output from both capital parts, divided by the whole advanced capital. Second, the turnover number of the whole capital equals the sum of the two turned-over amounts, divided by the sum of the two advanced capitals. Here too, we have to treat the two parts of capital as though each turned over completely independently of the other.

Wir nehmen also wieder an, daß wöchentlich 100 Pfd.St. im Arbeitsprozeß vorzuschießen sind. Die Arbeitsperiode daure 6 Wochen, beanspruche also jedesmal 600 Pfd.St. Vorschuß (Kapital I). Die Zirkulationsperiode 3 Wochen; also Umschlagsperiode, wie oben, 9 Wochen. Ein Kapital II von 300 Pfd.St. trete ein während der dreiwöchentlichen Zirkulationsperiode von Kapital 1. Betrachten wir beide als voneinander unabhängige Kapitale, so stellt sich das Schema des Jahresumschlags wie folgt:
setting up the numbers

Let's assume again that £100 has to be advanced every week to keep production running. The working period lasts 6 weeks, so it needs £600 of advance each time — this is capital I. The circulation period lasts 3 weeks, so the whole turnover period, as before, is 9 weeks. A capital II of £300 steps in during that three-week circulation period of capital I. If we treat the two as independent of one another, the table for the year's turnover looks like this:

Tabelle II
Kapital I, 600 Pfd.St.
Umschlagsperioden
Arbeitsperioden
Vorschuß Pfd.St.
Zirkulationsperioden
Woche
Woche
Woche
I.
1. - 9.
1. - 6.
600
7. - 9.
II.
10. - 18.
10. - 15.
600
16. - 18.
III.
19. - 27.
19. - 24.
600
25. - 27.
IV.
28. - 36.
28. - 33.
600
34. - 36.
V.
37. - 45.
37. - 42.
600
43. - 45.
VI.
46. - (54.)
46. - 51.
600
(52. - 54.)
Zusatzkapital II, 300 Pfd.St.
Umschlagsperioden
Arbeitsperioden
Vorschuß Pfd.St.
Zirkulationsperioden
Woche
Woche
Woche
I.
7. - 15.
7. - 9.
300
10. - 15.
II.
16. - 24.
16. - 18.
300
19. - 24.
III.
25. - 33.
25. - 27.
300
28. - 33.
IV.
34. - 42.
34. - 36.
300
37. - 42.
V.
43. - 51.
43. - 45.
300
46. - 51.
Der Produktionsprozeß geht das ganze Jahr durch ununterbrochen auf derselben Stufenleiter vor sich. Die beiden Kapitale I und II bleiben vollständig getrennt. Aber, um sie so getrennt darzustellen, mußten wir ihre wirklichen Kreuzungen und Verschlingungen zerreißen und dadurch auch die Umschlagszahl ändern. Nach obiger Tabelle nämlich schlüge Kapital I 5 2/3 × 600 = 3.400 Pfd.St. um und Kapital II 5 × 300 = 1.500 Pfd.St. also das Gesamtkapital 5 4/9 × 900 = 4.900 Pfd.St. um
the tidy picture — and its cost

The production process runs without a break all year, at the same scale throughout. In this picture, capital I and capital II stay completely separate from each other. But to show them as separate like this, we had to tear apart the real crossings and interminglings between them — and that changes the turnover number too. According to the table above, capital I turns over 5 2/3 × £600 = £3,400, and capital II turns over 5 × £300 = £1,500, so the whole capital turns over 5 4/9 × £900 = £4,900.

Dies stimmt aber nicht, weil, wie wir sehn werden, die wirklichen Produktions- und Zirkulationsperioden nicht absolut zusammenfallen mit denen des obigen Schemas, worin es hauptsächlich darauf ankam, die beiden Kapitale I und II als voneinander unabhängige erscheinen zu lassen.
why the tidy picture is wrong

But this isn't right, because, as we'll see, the real production and circulation periods don't fully match those of the table above — a table whose whole point was to make capital I and capital II look independent of each other.

In Wirklichkeit nämlich hat Kapital II keine von der des Kapital I getrennte, besondre Arbeits- und Zirkulationsperiode. Die Arbeitsperiode ist 6 Wochen, die Zirkulationsperiode 3 Wochen. Da Kapital II nur = 300 Pfd.St., kann es nur Teil einer Arbeitsperiode ausfüllen. Dies ist der Fall. Ende der 6. Woche tritt ein Produktenwert von 600 Pfd.St. in Zirkulation und fließt Ende der 9. Woche in Geld zurück. Damit tritt Anfang der 7. Woche das Kapital II in Tätigkeit und deckt die Bedürfnisse der nächsten Arbeitsperiode für die 7. - 9. Woche. Nun aber ist nach unsrer Annahme Ende der 9. Woche die Arbeitsperiode nur halb abgemacht. Es tritt also Anfang der 10. Woche das soeben zurückgeflossene Kapital I von 600 Pfd.St. wieder in Tätigkeit und füllt mit 300 Pfd.St. die für die 10. - 12. Woche nötigen Vorschüsse aus. Damit ist die zweite Arbeitsperiode erledigt. Es befindet sich ein Produktenwert von 600 Pfd.St. in Zirkulation und wird Ende der 15. Woche zurückfließen; daneben aber sind 300 Pfd.St., der Betrag des ursprünglichen Kapitals II, freigesetzt und können in der ersten Hälfte der folgenden Arbeitsperiode, also in der 13. - 15. Woche, fungieren. Nach deren Ablauf fließen dann wieder die 600 Pfd.St. zurück, 300 Pfd.St. davon reichen bis zum Schluß der Arbeitsperiode, 300 Pfd.St. bleiben für die folgende freigesetzt.
where the £300 gets freed

In reality, capital II doesn't have its own working period and circulation period separate from capital I's. The working period is 6 weeks, the circulation period 3 weeks. Since capital II only amounts to £300, it can only cover part of a working period — and that is exactly what happens. At the end of week 6, a product worth £600 goes into circulation, and flows back as money at the end of week 9. So at the start of week 7, capital II goes into action and covers the needs of the next working period for weeks 7 to 9. But by our assumption, at the end of week 9 that working period is only half finished. So at the start of week 10, the £600 of capital I that has just flowed back goes into action again, and its £300 covers what's needed for weeks 10 to 12. That completes the second working period. Now there is a product worth £600 in circulation, due to flow back at the end of week 15; but alongside it, £300 — the amount of the original capital II — has been released, and can go to work in the first half of the next working period, weeks 13 to 15. Once that period is over, the £600 flows back again: £300 of it is enough to reach the end of the working period, and £300 stays released for the one after.

Die Sache verläuft also wie folgt:
laid out week by week

It runs like this:

I. Umschlagsperiode: 1. - 9. Woche.
first turnover period

First turnover period: weeks 1 to 9.

1. Arbeitsperiode: 1. - 6. Woche. Kapital I, 600 Pfd.St., fungiert.
first working period

First working period: weeks 1 to 6. Capital I, £600, is at work.

1. Zirkulationsperiode: 7. - 9. Woche. Ende der 9. Woche fließen 600 Pfd.St. zurück.
first circulation period

First circulation period: weeks 7 to 9. At the end of week 9, £600 flows back.

II. Umschlagsperiode: 7.- 15. Woche.
second turnover period

Second turnover period: weeks 7 to 15.

2. Arbeitsperiode: 7. - 12. Woche.
second working period

Second working period: weeks 7 to 12.

Erste Hälfte: 7. - 9. Woche. Kapital II, 300 Pfd.St., fungieren. Ende der 9. Woche fließen 600 Pfd.St. in Geld zurück (Kapital I).
first half: capital II at work

First half: weeks 7 to 9. Capital II, £300, is at work. At the end of week 9, £600 flows back as money — this is capital I.

Zweite Hälfte: 10. - 12. Woche. 300 Pfd.St. von Kapital I fungieren. Die andern 300 Pfd.St. von Kapital I bleiben freigesetzt.
second half: £300 stays released

Second half: weeks 10 to 12. £300 of capital I is at work. The other £300 of capital I stays released.

2. Zirkulationsperiode: 13. - 15. Woche.
second circulation period

Second circulation period: weeks 13 to 15.

Ende der 15. Woche fließen 600 Pfd.St. (halb aus Kapital I, halb aus Kapital II gebildet) in Geld zurück.
£600 flows back, mixed origin

At the end of week 15, £600 — half from capital I, half from capital II — flows back as money.

III Umschlagsperiode: 13. - 21. Woche.
third turnover period

Third turnover period: weeks 13 to 21.

3. Arbeitsperiode: 13. - 18. Woche.
third working period

Third working period: weeks 13 to 18.

Erste Hälfte: 13. - 15. Woche. Die freigesetzten 300 Pfd.St. treten in Funktion. Ende der 15. Woche fließen 600 Pfd.St. in Geld zurück.
released £300 goes to work

First half: weeks 13 to 15. The released £300 goes into action. At the end of week 15, £600 flows back as money.

Zweite Hälfte: 16. - 18. Woche. Von den zurückgefloßnen 600 Pfd.St. fungieren 300 Pfd.St., die andern 300 Pfd.St. bleiben wieder freigesetzt.
second half: £300 released again

Second half: weeks 16 to 18. Of the £600 that flowed back, £300 is at work; the other £300 stays released again.

3. Zirkulationsperiode: 19. - 21. Woche, an deren Schluß wieder 600 Pfd.St. in Geld zurückfließen; in diesen 600 Pfd.St. sind Kapital I und Kapital II jetzt ununterscheidbar verschmolzen.
the two capitals, now fused

Third circulation period: weeks 19 to 21, at the end of which £600 again flows back as money. In this £600, capital I and capital II are now fused together — indistinguishably, with no way to tell which part came from which.

Auf diese Weise ergeben sich acht volle Umschlagsperioden eines Kapitals von 600 Pfd.St. (I: 1. - 9. Woche; II: 7. - 15.; III: 13. - 21.; IV: 19. - 27.; V: 25. - 33.; VI: 31. - 39.; VII: 37. - 45.; VIII: 43. - 51. Woche) bis Ende der 51. Woche. Da aber die 49. - 51 Woche auf die achte Zirkulationsperiode fallen, müssen während derselben die 300 Pfd.St. freigesetztes Kapital eintreten und die Produktion im Gang halten. Damit stellt sich der Umschlag am Ende des Jahres wie folgt: 600 Pfd.St. haben ihren Kreislauf achtmal vollendet, macht 4.800 Pfd.St. Dazu kommt das Produkt der letzten 3 Wochen (49. - 51.), das aber erst ein Drittel seines Kreislaufs von 9 Wochen zurückgelegt hat, also in der Umschlagssumme nur für ein Drittel seines Betrags, mit 100 Pfd.St. zählt. Wenn also das Jahresprodukt von 51 Wochen = 5.100 Pfd.St., so ist das umgeschlagne Kapital nur 4.800 + 100 = 4.900 Pfd.St.; das vorgeschoßne Gesamtkapital von 900 Pfd.St. hat also 5 4/9 mal umgeschlagen, also um eine Kleinigkeit mehr als unter Fall I.
the year's total: 5 4/9 turnovers

This gives us eight full turnover periods of a £600 capital (I: weeks 1–9; II: 7–15; III: 13–21; IV: 19–27; V: 25–33; VI: 31–39; VII: 37–45; VIII: 43–51), running to the end of week 51. But weeks 49 to 51 fall within the eighth circulation period, so during those weeks the released £300 has to step in and keep production going. That gives us the turnover for the year as follows: the £600 has completed its circuit eight times over, making £4,800. Add to that the product of the last 3 weeks (49–51), which has only covered a third of its 9-week circuit — so it counts toward the turnover total for only a third of its value, that is, £100. So if the year's product over 51 weeks comes to £5,100, the capital that has actually turned over is only £4,800 + £100 = £4,900. The whole advanced capital of £900 has therefore turned over 5 4/9 times — a shade more than in the first case.

In dem vorliegenden Beispiel war ein Fall unterstellt, wo die Arbeitszeit = 2/3 , die Umlaufszeit = 1/3 der Umschlagsperiode, also die Arbeitszeit ein einfaches Multipel der Umlaufszeit ist. Es fragt sich, ob die oben konstatierte Freisetzung von Kapital auch stattfindet, wenn dies nicht der Fall.
does this always hold

In this example, we assumed a case where the working time is two-thirds and the circulation time one-third of the turnover period — so the working time is a simple multiple of the circulation time. The question now is whether the release of capital we've just found still happens when that is not the case.

Nehmen wir Arbeitsperiode = 5 Wochen, Umlaufszeit = 4 Wochen, Kapitalvorschuß per Woche 100 Pfd.St.
new numbers: 5 weeks, 4 weeks

Let's take a working period of 5 weeks, a circulation time of 4 weeks, and a capital advance of £100 per week.

I. Umschlagsperiode: 1. - 9. Woche.
first turnover period

First turnover period: weeks 1 to 9.

1. Arbeitsperiode: 1. - 5. Woche. Kapital I, 500 Pfd.St., fungiert.
first working period

First working period: weeks 1 to 5. Capital I, £500, is at work.

1. Zirkulationsperiode: 6. - 9. Woche. Ende der 9. Woche fließen 500 Pfd.St. zurück.
first circulation period

First circulation period: weeks 6 to 9. At the end of week 9, £500 flows back.

II. Umschlagsperiode: 6.- 14. Woche.
second turnover period

Second turnover period: weeks 6 to 14.

2. Arbeitsperiode: 6. - 10. Woche.
second working period

Second working period: weeks 6 to 10.

Erster Abschnitt: 6. - 9. Woche. Kapital II = 400 Pfd.St. fungiert. Ende der 9. Woche fließt Kapital I = 500 Pfd.St. in Geld zurück.
first stretch: capital II at work

First stretch: weeks 6 to 9. Capital II, £400, is at work. At the end of week 9, capital I — £500 — flows back as money.

Zweiter Abschnitt: 10. Woche. Von den zurückgefloßnen 500 Pfd.St. fungieren 100 Pfd.St. Die übrigen 400 Pfd.St. bleiben freigesetzt für die folgende Arbeitsperiode.
second stretch: £400 released

Second stretch: week 10. Of the £500 that flowed back, £100 is at work. The remaining £400 stays released for the next working period.

2. Zirkulationsperiode: 11. - 14. Woche. Am Ende der 14. Woche fließen 500 Pfd.St. in Geld zurück.
second circulation period

Second circulation period: weeks 11 to 14. At the end of week 14, £500 flows back as money.

Bis zu Ende der 14. Woche (11.- 14.) fungieren die oben freigesetzten 400 Pfd.St.; 100 Pfd.St. aus den alsdann zurückgefloßnen 500 Pfd.St. komplettieren den Bedarf für die dritte Arbeitsperiode (11. - 15. Woche), so daß wiederum 400 Pfd.St. für die vierte Arbeitsperiode freigesetzt werden. Dasselbe Phänomen wiederholt sich in jeder Arbeitsperiode; bei ihrem Beginn findet sie 400 Pfd.St. vor, die für die ersten 4 Wochen reichen. Ende der 4. Woche fließen 500 Pfd.St. in Geld zurück, von denen nur 100 Pfd.St. für die letzte Woche benötigt sind, die übrigen 400 Pfd.St. für die nächste Arbeitsperiode freigesetzt bleiben.
the pattern repeats every period

Up through the end of week 14 (weeks 11 to 14), the £400 released above is at work. £100 out of the £500 that then flows back completes what's needed for the third working period (weeks 11 to 15), so that once again £400 is released for the fourth working period. The same thing repeats in every working period: at its start it finds £400 on hand, enough to cover the first 4 weeks. At the end of the 4th week, £500 flows back as money, of which only £100 is needed for the last week, while the remaining £400 stays released for the next working period.

Nehmen wir ferner eine Arbeitsperiode von 7 Wochen, mit Kapital I von 700 Pfd.St.; eine Umlaufszeit von 2 Wochen mit Kapital II von 200 Pfd.St.
third example: 7 weeks, 2 weeks

Let's also take a working period of 7 weeks, with a capital I of £700, and a circulation time of 2 weeks, with a capital II of £200.

Dann dauert die erste Umschlagsperiode von 1. - 9. Woche, davon erste Arbeitsperiode 1. - 7. Woche, mit Vorschuß von 700 Pfd.St., und erste Zirkulationsperiode 8. - 9. Woche. Ende der 9. Woche fließen die 700 Pfd.St. in Geld zurück.
first turnover period, this example

Then the first turnover period runs from week 1 to week 9: the first working period takes weeks 1 to 7, with an advance of £700, and the first circulation period takes weeks 8 to 9. At the end of week 9, the £700 flows back as money.

Die zweite Umschlagsperiode 8. - 16. Woche umschließt die zweite Arbeitsperiode 8.- 14. Woche. Davon ist der Bedarf für 8. und 9. Woche gedeckt durch Kapital II. Ende der 9. Woche fließen obige 700 Pfd.St. zurück; davon werden verbraucht bis Schluß der Arbeitsperiode (10. - 14. Woche) 500 Pfd.St. Bleiben 200 Pfd.St. freigesetzt für die nächstfolgende Arbeitsperiode. Die zweite Umlaufsperiode dauert 15. - 16. Woche; Ende der 16. Woche fließen wieder 700 Pfd.St. zurück. Von nun an wiederholt sich in jeder Arbeitsperiode dieselbe Erscheinung. Der Kapitalbedarf der ersten beiden Wochen ist gedeckt durch die am Schluß der vorigen Arbeitsperiode freigesetzten 200 Pfd.St.; Ende der 2. Woche fließen 700 zurück; die Arbeitsperiode zählt aber nur noch 5 Wochen, so daß sie nur 500 Pfd.St. verbrauchen kann; es bleiben also stets 200 Pfd.St. freigesetzt für die nächste Arbeitsperiode.
the pattern settles: always £200

The second turnover period, weeks 8 to 16, encloses the second working period, weeks 8 to 14. Of that, the need for weeks 8 and 9 is covered by capital II. At the end of week 9, the £700 above flows back; of that, £500 gets used up by the end of the working period (weeks 10 to 14). That leaves £200 released for the next working period. The second circulation period runs weeks 15 to 16; at the end of week 16, £700 flows back again. From here on, the same thing repeats in every working period. The capital needed for the first two weeks is covered by the £200 released at the close of the previous working period; at the end of the second week of that period, £700 flows back — but the working period only has 5 weeks left to run, so it can only use up £500. So £200 always stays released for the next working period.

Es stellt sich also heraus, daß in unserm Fall, wo die Arbeitsperiode größer angenommen als die Umlaufsperiode, unter allen Umständen am Schluß einer jeden Arbeitsperiode sich ein Geldkapital freigesetzt findet, welches von gleicher Größe ist wie das für die Zirkulationsperiode vorgeschoßne Kapital II. In unsern drei Beispielen war Kapital II im ersten = 300 Pfd.St., im zweiten = 400 Pfd.St., im dritten = 200 Pfd.St.; dementsprechend war das am Schluß der Arbeitsperiode freigesetzte Kapital je 300, 400, 200 Pfd.St.
the general rule, confirmed

So it turns out that in our case — where the working period is longer than the circulation period — a sum of money capital always gets released at the close of every working period, no matter what, and it is exactly the same size as capital II, the capital advanced for the circulation period. In our three examples, capital II was £300 in the first, £400 in the second, £200 in the third; and correspondingly, the capital released at the close of the working period was £300, £400, and £200 each time.

Kap. 15
Fall III und die Resultate
Unit u132's Case II showed release when the working period is the longer one. Case III flips the ratio and, after both special cases are exhausted, the Results step back to state what holds for the social capital in general: release, not relief, is the rule — which is what the next unit examines the STATE of.
Wir nehmen zunächst wieder an eine Umschlagsperiode von 9 Wochen; davon Arbeitsperiode 3 Wochen, für welche disponibel Kapital I = 300 Pfd.St. Die Umlaufsperiode sei 6 Wochen. Für diese 6 Wochen ist ein Zusatzkapital von 600 Pfd.St. nötig, das wir aber wieder in zwei Kapitale von je 300 Pfd.St. einteilen können, wovon jedes eine Arbeitsperiode ausfüllt. Wir haben dann drei Kapitale von je 300 Pfd.St., wovon immer 300 Pfd.St. in der Produktion beschäftigt sind, während 600 Pfd.St. umlaufen.
three capitals in rotation

Let's go back to assuming a turnover period of 9 weeks: 3 weeks working period, needing £300 of available capital (call it Capital I). The circulation period is 6 weeks long. To cover those 6 weeks we need an extra £600 — but we can split that into two more capitals of £300 each, one for each working period. So now we have three capitals of £300 apiece. At any moment, £300 is at work in production while £600 is out in circulation.

Tabelle III
Kapital I:
Umschlagsperioden
Arbeitsperioden
Umlaufsperioden
Woche
Woche
Woche
I.
1. - 9.
1. - 3.
4. - 9.
II.
10. - 18.
10. - 12.
13. - 18.
III.
19. - 27.
19. - 21.
22. - 27.
IV.
28. - 36.
28. - 30.
31. - 36.
V.
37. - 45.
37. - 39.
40. - 45.
VI.
46. - (54.)
46. - 48.
49. - (54.)
Kapital II:
Umschlagsperioden
Arbeitsperioden
Umlaufsperioden
Woche
Woche
Woche
I.
4. - 12.
4. - 6.
7. - 12.
II.
13. - 21.
13. - 15.
16. - 21.
III.
22. - 30.
22. - 24.
25. - 30.
IV.
31. - 39.
31. - 33.
34. - 39.
V.
40. - 48.
40. - 42.
43. - 48.
VI.
49. - (57.)
49. - 51.
(52. - 57.)
Kapital III:
Umschlagsperioden
Arbeitsperioden
Umlaufsperioden
Woche
Woche
Woche
I.
7. - 15.
7. - 9.
10. - 15.
II.
16. - 24.
16. - 18.
19. - 24.
III.
25. - 33.
25. - 27.
28. - 33.
IV.
34. - 42.
34. - 36.
37. - 42.
V.
43. - 51.
43. - 45.
46. - 51.
Wir haben hier das genaue Gegenbild von Fall I, nur mit dem Unterschied, daß jetzt drei Kapitale einander ablösen statt zwei. Eine Durchkreuzung oder Verschlingung der Kapitale findet nicht statt; jedes einzelne kann bis zum Jahresschluß getrennt verfolgt werden. Ebensowenig wie bei Fall I findet also eine Freisetzung von Kapital am Schluß einer Arbeitsperiode statt. Kapital I ist ganz ausgelegt Ende der 3. Woche, fließt ganz zurück Ende der 9., und tritt wieder in Funktion Anfang der 10. Woche. Ähnlich mit Kapital II und III. Die regelmäßige und vollständige Ablösung schließt jede Freisetzung aus.
no release, just orderly succession

This is the exact mirror image of Case I — the only difference is that now three capitals take turns instead of two. The capitals never cross or tangle with one another; you can follow each one separately right through to the end of the year. And just as in Case I, no capital is released at the end of a working period. Capital I is fully laid out by the end of week 3, flows all the way back by the end of week 9, and starts working again at the beginning of week 10. Capital II and Capital III behave the same way. Because the handover between them is regular and complete, no release of capital happens at all.

Der Gesamtumschlag berechnet sich folgendermaßen: Kapital I 300 Pfd.St. 5 2/3 × = 1.700 Pfd.St. Kapital II 300 Pfd.St. 5 1/3 × = 1.600 Pfd.St. Kapital III 300 Pfd.St. 5 × = 1.500 Pfd.St. Gesamtkapital 900 Pfd.St. 5 1/3 × = 4.800 Pfd.St.
the total turnover, worked out

Here is how the total turnover works out. Capital I: £300 × 5⅔ = £1,700. Capital II: £300 × 5⅓ = £1,600. Capital III: £300 × 5 = £1,500. Total capital: £900 × 5⅓ = £4,800.

Nehmen wir jetzt auch ein Beispiel, wo die Umlaufsperiode nicht ein genaues Vielfaches der Arbeitsperiode bietet; z.B. Arbeitsperiode 4 Wochen, Zirkulationsperiode 5 Wochen; die entsprechenden Kapitalbeträge wären also Kapital I = 400 Pfd.St., Kapital II = 400 Pfd.St., Kapital III = 100 Pfd.St. Wir geben nur die ersten drei Umschläge.
when circulation isn't a clean multiple

Now take a case where the circulation period is not an exact multiple of the working period — say, a working period of 4 weeks and a circulation period of 5 weeks. The matching capitals would then be Capital I = £400, Capital II = £400, and Capital III = £100. We'll only work through the first three turnovers.

Tabelle IV
Kapital I:
Umschlagsperioden
Arbeitsperioden
Umlaufsperioden
Woche
Woche
Woche
I.
1. - 9.
1. - 4.
5. - 9.
II.
9. - 17.
9.10. - 12.
13. - 17.
III.
17. - 25.
17.18. - 20.
21. - 25.
Kapital II:
Umschlagsperioden
Arbeitsperioden
Umlaufsperioden
Woche
Woche
Woche
I.
5. - 13.
5. - 8.
9. - 13.
II.
13. - 21.
13.14. - 16.
17. - 21.
III.
21. - 29.
21.22. - 24.
25. - 29.
Kapital III:
Umschlagsperioden
Arbeitsperioden
Umlaufsperioden
Woche
Woche
Woche
I.
9. - 17.
9.
10. - 17.
II.
17. - 25.
17.
18. - 25.
III.
25. - 33.
25.
26. - 33.
TABLE IV
Capital I
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 1-9 1-4 5-9
II 9-17 9, 10-12 13-17
III 17-25 17, 18-20 21-25
Capital II
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 5-13 5-8 9-13
II 13-21 13, 14-16 17-21
III 21-29 21, 22-24 25-29
Capital III
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 9-17 9 10-17
II 17-25 17 18-25
III 25-33 25 26-33
Es findet hier insofern Verschlingung der Kapitale statt, als die Arbeitsperiode von Kapital III, das keine selbständige Arbeitsperiode hat, weil es nur für eine Woche reicht, zusammenfällt mit der ersten Arbeitswoche von Kapital I. Dafür aber findet sich am Schluß der Arbeitsperiode, sowohl von Kapital I wie von Kapital II, ein dem Kapital III gleicher Betrag von 100 Pfd.St. freigesetzt. Wenn nämlich Kapital III die erste Woche der zweiten und aller folgenden Arbeitsperioden von Kapital I ausfüllt und am Schluß dieser ersten Woche das ganze Kapital I, 400 Pfd.St., zurückströmt, so bleibt für den Rest der Arbeitsperiode von Kapital I nur eine Zeit von 3 Wochen und eine entsprechende Kapitalauslage von 300 Pfd.St. Die so freigesetzten 100 Pfd.St. genügen dann für die erste Woche der sich unmittelbar anschließenden Arbeitsperiode von Kapital II; am Schluß dieser Woche fließt das ganze Kapital II mit 400 Pfd.St. zurück; da aber die angebrochne Arbeitsperiode nur noch 300 Pfd.St. absorbieren kann, so bleiben an deren Schluß wieder 100 Pfd.St. freigesetzt; und so weiter. Es findet also Freisetzung von Kapital am Schlusse der Arbeitsperiode statt, sobald die Umlaufszeit nicht ein einfaches Multipel der Arbeitsperiode bildet; und zwar ist dies freigesetzte Kapital gleich dem Kapitalteil, welcher den Überschuß der Zirkulationsperiode über eine Arbeitsperiode oder über ein Multipel von Arbeitsperioden auszufüllen hat.
release when the periods don't divide evenly

Here the capitals do tangle a little, because Capital III has no working period of its own — it only lasts one week — and that week falls inside the first working week of Capital I. But in return, at the end of the working period of both Capital I and Capital II, an amount equal to Capital III, £100, gets released. Here's why. Capital III fills the first week of the second (and every later) working period of Capital I, and at the end of that week the whole of Capital I, £400, flows back. That leaves only 3 weeks of the working period still to cover, needing only £300. So the £100 that gets freed up is exactly enough for the first week of the working period that follows straight after for Capital II. At the end of that week, the whole of Capital II, £400, flows back too — but the working period still running can only absorb £300, so once again £100 is left released. And so it continues. So capital gets released at the end of a working period whenever the circulation time is not a simple multiple of the working period — and the amount released is exactly equal to whatever is needed to cover the excess of the circulation period over a working period, or over a multiple of working periods.

In allen untersuchten Fällen wurde angenommen, daß sowohl Arbeitsperiode wie Umlaufszeit das ganze Jahr hindurch in dem beliebigen, hier betrachteten Geschäft dieselben bleiben. Diese Voraussetzung war nötig, wollten wir den Einfluß der Umlaufszeit auf Umschlag und Kapitalvorschuß feststellen. Daß sie in der Wirklichkeit nicht in dieser Unbedingtheit und oft gar nicht gilt, ändert an der Sache nichts.
the assumption behind these examples

In every case we've looked at, we assumed that both the working period and the circulation time stay the same all year round in whatever business we're considering. That assumption was necessary if we wanted to work out how circulation time affects turnover and how much capital has to be advanced. That in reality this often doesn't hold so strictly — or doesn't hold at all — changes nothing about the point being made.

Wir haben in diesem ganzen Abschnitt nur die Umschläge des zirkulierenden Kapitals betrachtet, nicht die des fixen. Aus dem einfachen Grund, weil die behandelte Frage nichts mit dem fixen Kapital zu tun hat. Die im Produktionsprozeß angewandten Arbeitsmittel etc. bilden nur fixes Kapital, soweit ihre Gebrauchszeit länger dauert als die Umschlagsperiode des flüssigen Kapitals; soweit die Zeit, während deren diese Arbeitsmittel fortfahren, in beständig wiederholten Arbeitsprozessen zu dienen, größer ist als die Umschlagsperiode des flüssigen Kapitals, also = n Umschlagsperioden des flüssigen Kapitals ist. Ob die Gesamtzeit, welche durch diese n Umschlagsperioden des flüssigen Kapitals gebildet wird, länger oder kürzer ist, der Teil des produktiven Kapitals, der für diese Zeit in fixem Kapital vorgeschossen war, wird innerhalb derselben nicht von neuem vorgeschossen. Er fährt fort, in seiner alten Gebrauchsform zu fungieren. Der Unterschied ist nur der: je nach der verschiednen Länge der einzelnen Arbeitsperiode jeder Umschlagsperiode des flüssigen Kapitals gibt das fixe Kapital größern oder geringern Teil seines Originalwerts an das Produkt dieser Arbeitsperiode ab, und je nach der Dauer der Zirkulationszeit einer jeden Umschlagsperiode fließt dieser an das Produkt abgegebne Wertteil des fixen Kapitals rascher oder langsamer in Geldform zurück. Die Natur des Gegenstands, den wir in diesem Abschnitt behandeln - der Umschlag des zirkulierenden Teils des produktiven Kapitals -, geht aus der Natur dieses Kapitalteils selbst hervor. Das in einer Arbeitsperiode angewandte flüssige Kapital kann nicht in einer neuen Arbeitsperiode angewandt werden, bevor es seinen Umschlag vollendet, sich in Warenkapital, aus diesem in Geldkapital und aus diesem wieder in produktives Kapital verwandelt hat. Um daher die erste Arbeitsperiode sofort durch eine zweite zu kontinuieren, muß von neuem Kapital vorgeschossen und in die flüssigen Elemente des produktiven Kapitals verwandelt werden, und zwar in hinreichender Quantität, um die durch die Zirkulationsperiode des für die erste Arbeitsperiode vorgeschoßnen flüssigen Kapitals entstehende Lücke auszufüllen. Daher der Einfluß der Länge der Arbeitsperiode des flüssigen Kapitals auf die Betriebsstufenleiter des Arbeitsprozesses und auf die Teilung des vorgeschoßnen Kapitals, resp. auf Zuschuß von neuen Kapitalportionen. Dies aber ist es gerade, was wir in diesem Abschnitt zu betrachten hatten.
why fixed capital was set aside

Throughout this whole section we've only looked at the turnovers of circulating capital, not of fixed capital — simply because the question at hand has nothing to do with fixed capital. Instruments of labour and the like only count as fixed capital to the extent that they last longer in use than one turnover period of the fluid capital — that is, to the extent that the time they go on serving in repeated labour processes is longer than a turnover period of fluid capital, equal to some whole number, n, of such turnover periods. Whether the total time made up by these n turnover periods is long or short, the part of productive capital that was advanced as fixed capital for that whole stretch is not advanced again during it. It just goes on functioning in its old physical form. The only difference is this: depending on how long each working period within each turnover period of fluid capital happens to be, the fixed capital hands over a bigger or smaller share of its original value to that working period's product; and depending on how long the circulation time of each turnover period is, that value-share flows back in money form faster or slower. What we're dealing with in this section — the turnover of the circulating part of productive capital — follows from the very nature of that part of capital. Fluid capital used up in one working period cannot be used again in a new working period until it has completed its own turnover: turned into commodity-capital, then into money-capital, then back into productive capital. So to run a second working period straight on from the first, fresh capital has to be advanced and turned into the fluid elements of productive capital — enough of it to fill the gap created by the circulation time of the fluid capital advanced for the first working period. That is exactly why the length of the working period of fluid capital affects the scale on which the labour process can run, and how the advanced capital has to be divided up, or topped up with fresh portions. And that is precisely what this section set out to examine.

Aus der bisherigen Untersuchung ergibt sich:
what the investigation establishes

So, from what we've worked through so far, the following results hold:

A. Die verschiednen Portionen, worin das Kapital geteilt werden muß, damit ein Teil desselben sich beständig in der Arbeitsperiode befinden kann, während andre Teile sich in der Zirkulationsperiode befinden - lösen sich ab, wie verschiedne selbständige Privatkapitale, in zwei Fällen. 1. Wenn die Arbeitsperiode gleich der Zirkulationsperiode, die Umschlagsperiode also in zwei gleiche Abschnitte geteilt ist. 2. Wenn die Zirkulationsperiode länger ist als die Arbeitsperiode, aber zugleich ein einfaches Multipel der Arbeitsperiode bildet, so daß eine Zirkulationsperiode = n Arbeitsperioden, wo n eine ganze Zahl sein muß. In diesen Fällen wird kein Teil des sukzessiv vorgeschoßnen Kapitals freigesetzt.
when no capital is released

A. The different portions that capital must be split into — so that one part is always in its working period while the others are out in their circulation period — take turns with each other, like separate independent private capitals, only in two situations. First, when the working period equals the circulation period, splitting the turnover period into two equal halves. Second, when the circulation period is longer than the working period but is still an exact whole-number multiple of it — so the circulation period equals n working periods, with n a whole number. In both these situations, no part of the capital successively advanced is ever released.

B. Dagegen in allen Fällen, wo 1. die Zirkulationsperiode größer als die Arbeitsperiode, ohne ein einfaches Multipel derselben zu bilden, und 2. wo die Arbeitsperiode größer als die Zirkulationsperiode, wird ein Teil des flüssigen Gesamtkapitals vom zweiten Umschlag an beständig und periodisch am Schluß jeder Arbeitsperiode freigesetzt. Und zwar ist dieses freigesetzte Kapital gleich dem für die Zirkulationsperiode vorgeschoßnen Teil des Gesamtkapitals, wenn die Arbeitsperiode größer als die Zirkulationsperiode; und gleich dem Kapitalteil, welcher den Überschuß der Zirkulationsperiode über eine Arbeitsperiode oder über ein Multipel von Arbeitsperioden auszufüllen hat, wenn die Zirkulationsperiode größer ist als die Arbeitsperiode.
when capital gets released, and how much

B. But in every other case — first, wherever the circulation period is longer than the working period without being an exact multiple of it, and second, wherever the working period is longer than the circulation period — a part of the total fluid capital is constantly and periodically released at the end of each working period, from the second turnover onward. And the amount released is: the part of the total capital advanced to cover the circulation period, when the working period is longer than the circulation period; and the part of capital needed to cover the excess of the circulation period over a working period (or over a multiple of working periods), when the circulation period is longer than the working period.

C. Es folgt daraus, daß für das gesellschaftliche Gesamtkapital, nach seinem flüssigen Teil betrachtet, die Freisetzung von Kapital die Regel, die bloße Ablösung der sukzessive im Produktionsprozeß fungierenden Kapitalteile die Ausnahme bilden muß. Denn die Gleichheit von Arbeitsperiode und Zirkulationsperiode, oder die Gleichheit der Zirkulationsperiode mit einem einfachen Multipel der Arbeitsperiode, diese regelmäßige Proportionalität der zwei Bestandteile der Umschlagsperiode hat mit der Natur der Sache durchaus nichts zu tun und kann daher im ganzen und großen nur ausnahmsweise stattfinden.
release is the rule, not the exception

C. It follows that for the total social capital — considered with respect to its circulating part — the release of capital must be the rule, and the mere handover of successively functioning portions of capital the exception. Because the working period being exactly equal to the circulation period, or the circulation period being exactly a whole-number multiple of the working period — this kind of neat proportionality between the two parts of the turnover period — has nothing whatsoever to do with the nature of the matter, and so, taken as a whole, can only happen as an exception.

Ein sehr bedeutender Teil des jährlich mehrmals umschlagenden gesellschaftlichen zirkulierenden Kapitals wird sich also während des jährlichen Umschlagszyklus periodisch in der Form von freigesetztem Kapital befinden.
a large share stays released

So a very sizeable part of the social circulating capital that turns over several times a year will, over the course of the year's turnover cycle, periodically sit there in the form of released capital.

Es ist ferner klar, daß, alle andern Umstände gleichbleibend gesetzt, die Größe dieses freigesetzten Kapitals mit dem Umfang des Arbeitsprozesses oder mit der Stufenleiter der Produktion, also überhaupt mit der Entwicklung der kapitalistischen Produktion wächst. In dem Falle sub B.2., weil das vorgeschoßne Gesamtkapital wächst; in B. 1., weil mit der Entwicklung der kapitalistischen Produktion die Länge der Zirkulationsperiode wächst, also auch die Umschlagsperiode in den Fällen, wo die Arbeitsperiode ohne regelmäßiges Verhältnis der beiden Perioden.
release grows as production grows

It's also clear that, with everything else staying the same, the amount of this released capital grows as the scale of the labour process grows — as the scale of production grows — in other words, as capitalist production develops generally. In the case under B.2, this is because the total advanced capital grows; in the case under B.1, it's because as capitalist production develops, the circulation period gets longer, and so does the turnover period, in those cases where the working period has no regular ratio to the two periods.

Im ersten Fall hatten wir z.B. 100 Pfd.St. wöchentlich auszulegen. Für sechswöchentliche Arbeitsperiode 600 Pfd.St., für dreiwöchentliche Zirkulationsperiode 300 Pfd.St., zusammen 900 Pfd.St. Hier werden beständig 300 Pfd.St. freigesetzt. Werden dagegen 300 Pfd.St. wöchentlich ausgelegt, so haben wir für die Arbeitsperiode 1.800 Pfd.St., für die Zirkulationsperiode 900 Pfd.St.; also auch 900 Pfd.St. statt 300 Pfd.St. periodisch freigesetzt.
the same point, in numbers

Take the first case: say we have to lay out £100 a week. For a six-week working period that's £600; for a three-week circulation period that's £300; together £900. Here, £300 is constantly released. But if instead we lay out £300 a week, then the working period needs £1,800 and the circulation period £900 — so what gets periodically released is £900, not £300.

D. Das Gesamtkapital von z.B. 900 Pfd.St. muß in zwei Teile geteilt werden, wie oben 600 Pfd.St. für die Arbeitsperiode und 300 Pfd.St. für die Zirkulationsperiode. Der Teil, der wirklich im Arbeitsprozeß ausgelegt, wird dadurch um ein Drittel vermindert, von 900 Pfd.St. auf 600 Pfd.St., und daher die Produktionsleiter um ein Drittel reduziert. Andrerseits fungieren die 300 Pfd.St. nur, um die Arbeitsperiode kontinuierlich zu machen, so daß in jeder Woche des Jahres 100 Pfd.St. im Arbeitsprozeß ausgelegt werden können.
splitting capital cuts the scale

D. A total capital of, say, £900 has to be split into two parts — as before, £600 for the working period and £300 for the circulation period. The part actually laid out in the labour process is thereby cut by a third, from £900 down to £600, and the scale of production is cut by a third along with it. The remaining £300, on the other hand, only serves to keep the working period running without a break, so that £100 can be laid out in the labour process in every single week of the year.

Abstrakt genommen ist es dasselbe, ob 600 Pfd.St. während 6 × 8 = 48 Wochen arbeiten (Produkt = 4.800 Pfd.St.), oder ob das ganze Kapital von 900 Pfd.St. während 6 Wochen im Arbeitsprozeß ausgelegt wird und dann während der Zirkulationsperiode von 3 Wochen brachliegt; im letztem Fall würde es im Lauf der 48 Wochen 5 1/3 × 6 = 32 Wochen arbeiten (Produkt = 5 1/3 × 900 = 4.800 Pfd.St.), und 16 Wochen brachliegen. Aber abgesehn vom größern Verderb des fixen Kapitals während der Brache von 16 Wochen und der Verteurung der Arbeit, die während des ganzen Jahres bezahlt werden muß, obgleich sie nur einen Teil desselben wirkt, ist eine solche regelmäßige Unterbrechung des Produktionsprozesses mit dem Betrieb der modernen großen Industrie überhaupt unvereinbar. Diese Kontinuität ist selbst eine Produktivkraft der Arbeit.
why the interruption doesn't work

Looked at in the abstract, it seems to make no difference whether £600 works for 6 × 8 = 48 weeks (giving a product of £4,800), or whether the whole £900 is laid out in the labour process for 6 weeks and then sits idle for the 3-week circulation period; in that second case it would work 5⅓ × 6 = 32 weeks out of the 48 (product = 5⅓ × 900 = £4,800), and lie idle for 16 weeks. But that is only how it looks in the abstract. Set aside the extra wear on the fixed capital during those 16 idle weeks, and the extra cost of labour, which has to be paid for the whole year even though it only works part of it — a regular interruption of the production process like this is simply incompatible with running modern large-scale industry at all. Continuity of this kind is itself a productive force of labour.

Kap. 15
Der Zustand des freigesetzten Kapitals; Engels' Widerspruch
Unit u133's Results named release as the rule for the social capital. This unit asks what the released capital actually IS while it waits, generalizes the result into the Plethora claim — and then, in a bracketed note signed by Engels, never Marx, argues from outside the text that the whole category has been overweighted.
Sehn wir uns nun das freigesetzte, in der Tat suspendierte Kapital näher an, so zeigt sich, daß ein bedeutender Teil desselben stets die Form von Geldkapital besitzen muß. Bleiben wir bei dem Beispiel: Arbeitsperiode 6 Wochen, Zirkulationsperiode 3 Wochen, Auslage per Woche 100 Pfd.St. In der Mitte der zweiten Arbeitsperiode, Ende der 9. Woche, fließen 600 Pfd.St. zurück, von denen nur 300 Pfd.St. während des Rests der Arbeitsperiode anzulegen sind. Ende der zweiten Arbeitsperiode werden also 300 Pfd.St. davon freigesetzt. In welchem Zustand befinden sich diese 300 Pf. St.? Wir wollen annehmen, daß 1/3 für Arbeitslohn, 2/3 für Roh- und Hilfsstoffe auszulegen sind. Von den zurückgefloßnen 600 Pfd.St. befinden sich also 200 Pfd.St. für Arbeitslohn in Geldform und 400 Pfd.St. in. der Form von produktivem Vorrat, in der Form von Elementen des konstanten flüssigen produktiven Kapitals. Da aber für die zweite Hälfte der Arbeitsperiode II nur die Hälfte dieses produktiven Vorrats erheischt ist, befindet sich die andre Hälfte während 3 Wochen in der Form von überschüssigem, d.h. von über eine Arbeitsperiode überschüssigem produktivem Vorrat. Der Kapitalist weiß aber, daß er von diesem Teil (= 400 Pfd.St.) des zurückfließenden Kapitals nur die Hälfte = 200 Pfd.St. für die laufende Arbeitsperiode braucht. Es wird also von den Marktverhältnissen abhängen ob er diese 200 Pfd.St. sofort wieder ganz oder nur zum Teil in überschüssigen produktiven Vorrat verwandeln oder sie ganz oder teilweise in Erwartung günstigerer Marktverhältnisse als Geldkapital festhalten wird. Andrerseits versteht sich von selbst, daß der in Arbeitslohn auszulegende Teil = 200 Pfd.St. in Geldform festgehalten wird. Der Kapitalist kann die Arbeitskraft nicht wie das Rohmaterial im Warenlager deponieren, nachdem er sie gekauft hat. Er muß sie dem Produktionsprozeß einverleiben und zahlt sie Ende der Woche. Von dem freigesetzten Kapital von 300 Pfd.St. werden also jedenfalls diese 100 Pfd.St. die Form von freigesetztem, d.h. nicht für die Arbeitsperiode nötigem Geldkapital besitzen. Das in Form von Geldkapital freigesetzte Kapital muß also mindestens gleich sein dem variablen, in Arbeitslohn ausgelegten Kapitalteil; im Maximum kann es das ganze freigesetzte Kapital umfassen. In der Wirklichkeit schwankt es beständig zwischen diesem Minimum und Maximum.
the released capital's state

Let's look more closely at the capital that gets released — or, more precisely, suspended, since that is the truer word for what is happening. A significant part of it must always take the form of money-capital. Stay with the example: a working period of 6 weeks, a circulation period of 3 weeks, an outlay of £100 a week. Halfway through the second working period, at the end of week 9, £600 flows back, of which only £300 is needed to cover spending for the rest of the working period. So at the end of the second working period, £300 of that sum is released. What state is this £300 in? Suppose one-third has to be laid out on wages and two-thirds on raw and auxiliary materials. Of the £600 that has flowed back, £200 is therefore in money form for wages, and £400 is in the form of productive stock — elements of the constant, circulating productive capital. But since only half of that productive stock is actually needed for the second half of working period II, the other half sits for 3 weeks as stock surplus to a whole working period. The capitalist knows that of this £400, he needs only half — £200 — for the current working period. So it will depend on market conditions whether he turns this £200 straight back, wholly or partly, into surplus productive stock, or holds it, wholly or partly, as money-capital while he waits for better conditions. On the other hand, it goes without saying that the part to be laid out on wages — £200 — is kept in money form. The capitalist cannot warehouse labour-power the way he can raw material once he has bought it: he has to put it to work in the production process and pay for it at the end of the week. So of the £300 released, at any rate £100 of it will, in any case, take the form of released money-capital — money-capital not needed for the working period. The capital released in the form of money-capital must therefore be at least equal to the variable capital laid out on wages; at most it can amount to the whole of the released capital. In reality it constantly fluctuates between this minimum and this maximum.

Das so durch den bloßen Mechanismus der Umschlagsbewegung freigesetzte Geldkapital (neben dem durch den sukzessiven Rückfluß des fixen Kapitals und dem in jedem Arbeitsprozeß für variables Kapital nötigem Geldkapital) muß eine bedeutende Rolle spielen, sobald sich das Kreditsystem entwickelt, und muß zugleich eine der Grundlagen desselben bilden.
feeding the credit system

This money-capital, released purely by the mechanism of the turnover movement — alongside the money-capital released by the gradual return of fixed capital, and the money-capital needed in every labour process for variable capital — is bound to play a significant part once the credit system develops, and at the same time is bound to form one of that system's foundations.

Nehmen wir in unserm Beispiel an, die Zirkulationszeit verkürze sich von 3 Wochen auf 2. Dies sei nicht normal, sondern etwa Folge guter Geschäftszeit, verkürzter Zahlungstermine etc. Das Kapital von 600 Pfd.St., das während der Arbeitsperiode ausgelegt worden, fließt eine Woche früher als nötig zurück, es ist also für diese Woche freigesetzt. Es werden ferner, wie vorher, in der Mitte der Arbeitsperiode 300 Pfd.St. freigesetzt (Teil jener 600 Pfd.St.), aber für 4 Wochen statt für 3. Es befinden sich also auf dem Geldmarkt während einer Woche 600 Pfd.St. und während 4 statt 3 Wochen 300 Pfd.St. Da dies nicht nur einen Kapitalisten betrifft, sondern viele und zu verschiednen Perioden in verschiednen Geschäftszweigen sich ereignet, so erscheint hiermit mehr disponibles Geldkapital auf dem Markt. Dauert dieser Zustand länger, so wird die Produktion erweitert werden, wo dies zulässig; Kapitalisten, die mit geborgtem Kapital arbeiten, werden weniger Nachfrage auf dem Geldmarkt ausüben, was diesen ebensosehr erleichtert wie vermehrtes Angebot; oder endlich die Summen, die für den
when circulation time shrinks

Suppose, in our example, that the circulation time shrinks from 3 weeks to 2. Say this is not the normal state of things but the result of, say, brisk trade or shorter payment terms. The £600 of capital laid out during the working period now flows back a week earlier than it needs to — so for that week it is released. And, as before, £300 (part of that £600) is released at the midpoint of the working period, but now for 4 weeks instead of 3. So the money market has £600 released for one week, and £300 released for 4 weeks instead of 3. Since this does not happen to just one capitalist but to many, at different times, in different lines of business, more disposable money-capital appears on the market as a result. If this state of affairs lasts, then, wherever it is possible, production will be expanded; capitalists working with borrowed capital will make less demand on the money market, which eases that market just as much as an increased supply would; or, finally, the sums which…

Mechanismus überschüssig geworden sind, werden definitiv auf den Geldmarkt hinausgeworfen.
surplus sums hit the market

Sums that turn out to be excess to this whole mechanism are, in the end, simply thrown straight onto the money market as available money-capital.

Infolge der Kontraktion der Umlaufszeit <1. und 2. Auflage: Umschlagszeit> von 3 auf 2 Wochen, und daher der Umschlagsperiode von 9 auf 8 Wochen, wird 1/9 des vorgeschoßnen Gesamtkapitals überflüssig; die sechswöchentliche Arbeitsperiode kann nun mit 800 Pfd.St. ebenso beständig in Gang gehalten werden wie früher mit 900 Pfd.St. Ein Wertteil des Warenkapitals = 100 Pfd.St., einmal in Geld rückverwandelt, verharrt daher in diesem Zustand als Geldkapital, ohne weiter als Teil des für den Produktionsprozeß vorgeschoßnen Kapitals zu fungieren. Während die Produktion auf gleichbleibender Stufenleiter und zu sonst gleichbleibenden Bedingungen, wie Preisen etc., fortgeführt wird, vermindert sich die Wertsumme des vorgeschoßnen Kapitals von 900 Pfd.St. auf 800 Pfd.St.; der Rest von 100 Pfd.St. des ursprünglich vorgeschoßnen Werts wird ausgeschieden in der Form von Geldkapital. Als solches tritt es in den Geldmarkt ein und bildet zuschüssigen Teil der hier fungierenden Kapitale.
a shorter turnover frees capital

As a result of the contraction of the circulation time from 3 to 2 weeks, and therefore of the turnover period from 9 to 8 weeks, one ninth of the capital originally laid out simply isn't needed any more: the six-week working period can now be kept running just as steadily with £800 as it previously was with £900. A portion of the value of the commodity-capital — £100 — once turned back into money, therefore stays in that state as money-capital, without functioning any further as part of the capital advanced for the production process. While production continues on the same scale and under otherwise unchanged conditions, such as prices, the value-sum of the capital advanced falls from £900 to £800; the remaining £100 of the value originally advanced is set free in the form of money-capital. As such, it enters the money market and forms an additional part of the capitals functioning there.

Man ersieht hieraus, wie eine Plethora von Geldkapital entstehn kann - und zwar nicht nur in dem Sinn, daß das Angebot von Geldkapital größer ist als die Nachfrage; dies ist immer nur eine relative Plethora, die z.B. stattfindet in der "melancholischen Periode", welche nach Ende der Krise den neuen Zyklus eröffnet. Sondern in dem Sinn, daß für die Betreibung des gesamten gesellschaftlichen Reproduktionsprozesses (welcher den Zirkulationsprozeß einschließt) ein bestimmter Teil des vorgeschoßnen Kapitalwerts überflüssig und daher in der Form von Geldkapital ausgeschieden ist; eine Plethora, entstanden bei gleichbleibender Stufenleiter der Produktion und gleichbleibenden Preisen durch bloße Kontraktion der Umschlagsperiode. Es hat die Masse - größere oder kleinere - des in Zirkulation befindlichen Geldes hierauf nicht den geringsten Einfluß gehabt.
the real plethora explained

This shows how a plethora of money-capital can arise — and not only in the sense that the supply of money-capital is greater than the demand for it. That is always only a relative plethora, the kind that occurs, for instance, in the "melancholy period" that opens the new cycle after a crisis ends. There is also a plethora in a different sense: a definite part of the advanced capital-value becomes superfluous for running the whole social reproduction process — circulation included — and is therefore set free in the form of money-capital. This is a plethora that arises while the scale of production and prices both stay exactly the same, purely through the contraction of the turnover period. The mass of money in circulation — larger or smaller, whatever its size — has had not the slightest influence on this.

Nehmen wir umgekehrt an, die Zirkulationsperiode verlängre sich, sage von 3 Wochen zu 5. Dann findet schon beim nächsten Umschlag der Rückfluß des vorgeschoßnen Kapitals um 2 Wochen zu spät statt. Der letzte Teil des Produktionsprozesses dieser Arbeitsperiode kann nicht weitergeführt werden durch den Mechanismus des Umschlags des vorgeschoßnen Kapitals selbst. Bei längrer Dauer dieses Zustandes könnte, wie im vorigen Fall Erweiterung, so hier Kontraktion des Produktionsprozesses - des Umfangs, auf dem er betrieben - eintreten. Um aber den Prozeß auf derselben Stufenleiter fortzuführen, müßte das vorgeschoßne Kapital für die ganze Dauer dieser Verlängrung der Zirkulationsperiode um 2/9 = 200 Pfd.St. vermehrt werden. Dies Zusatzkapital kann nur dem Geldmarkt entnommen werden. Gilt die Verlängerung der Zirkulationsperiode für einen oder mehrere große Geschäftszweige, so kann sie daher einen Druck auf den Geldmarkt herbeiführen, wenn nicht diese Wirkung durch Gegenwirkung von andrer Seite aufgehoben wird. Auch in diesem Fall ist sichtbar und handgreiflich, daß dieser Druck, wie vorher jene Plethora, nicht das geringste zu tun hatte mit einer Änderung weder in den Preisen der Waren noch in der Masse der vorhandnen Zirkulationsmittel.
when circulation time lengthens

Now suppose the reverse: the circulation period lengthens, say from 3 weeks to 5. Then already at the next turnover, the return of the advanced capital happens 2 weeks too late. The last part of this working period's production process cannot be carried on by the mechanism of the advanced capital's own turnover. If this state of affairs lasted longer, then just as expansion of the production process could occur in the previous case, contraction of it — of the scale on which it is carried on — could occur here. But to keep the process going at the same scale, the advanced capital would have to be increased, for the whole duration of this lengthening of the circulation period, by two-ninths, that is £200. This additional capital can only be drawn from the money market. If the lengthening of the circulation period holds for one or several major branches of business, it can therefore put pressure on the money market, unless that effect is cancelled out by a counter-effect from elsewhere. Here too it is plain and obvious that this pressure, like that plethora before it, had not the slightest thing to do with any change either in the prices of commodities or in the mass of the circulating medium on hand.

{Die Fertigstellung dieses Kapitels für den Druck hat nicht geringe Schwierigkeiten gemacht. So sattelfest Marx als Algebraiker war, so ungeläufig blieb ihm das Rechnen mit Zahlen, namentlich das kaufmännische, trotzdem ein dickes Konvolut Hefte existiert, worin er sämtliche kaufmännische Rechnungsarten selbst in vielen Exempeln durchgerechnet hat. Aber Kenntnis der einzelnen Rechnungsarten und Übung im alltäglichen praktischen Rechnen des Kaufmanns sind keineswegs dasselbe, und so verwickelte er sich in den Umschlagsberechnungen derart, daß neben Unvollendetem schließlich manches Unrichtige und Widersprechende herauskam. Ich habe in den oben abgedruckten Tabellen nur das Einfachste und arithmetisch Richtige beibehalten, und zwar hauptsächlich aus folgendem Grund.
an editor's confession

Finishing this chapter for the press was no small trouble, Engels writes. However sure Marx's footing was as an algebraist, he never felt at home with plain numerical calculation, and especially not with the commercial kind — even though a thick bundle of notebooks exists in which he worked through every sort of commercial calculation himself, in many worked examples. But knowing the individual methods of calculation is by no means the same thing as being practised in a merchant's everyday, working reckoning, and so Marx tangled himself up in these turnover calculations to the point that, alongside what was simply unfinished, a good deal that was wrong or self-contradictory came out of it. In the tables printed above, Engels says he has kept only what was simplest and arithmetically correct — mainly for the following reason.

Die unsichern Resultate dieser mühsamen Rechnerei haben Marx veranlaßt, einem - nach meiner Ansicht - tatsächlich wenig wichtigen Umstand eine unverdiente Wichtigkeit beizulegen. Ich meine das, was er "Freisetzung" von Geldkapital nennt. Der wirkliche Sachverhalt, unter den oben angenommenen Voraussetzungen, ist dieser:
the real story, restated

The uncertain results of this laborious reckoning led Marx, in Engels's view, to give an actually rather unimportant point far more weight than it deserved. He means what Marx calls the "release" of money-capital. The real state of affairs, on the assumptions made above, is this:

Einerlei, welches das Größenverhältnis von Arbeitsperiode und Umlaufszeit, also das von Kapital I zu Kapital II, - nach Ablauf des ersten Umschlags kehrt dem Kapitalisten, in regelmäßigen Intervallen von der Länge der Arbeitsperiode, das für je eine Arbeitsperiode nötige Kapital - also eine Summe gleich Kapital I - in Geldform zurück.
the general rule restated

Here is Engels's own account of it: whatever the ratio in size between the working period and the circulation time — that is, between Capital I and Capital II — once the first turnover is complete, the capital needed for one working period, a sum equal to Capital I, flows back to the capitalist in money form at regular intervals, each as long as the working period.

Ist die Arbeitsperiode = 5 Wochen, Umlaufszeit = 4 Wochen, Kapital I = 500 Pfd.St., so fließt jedesmal eine Geldsumme von 500 Pfd.St. zurück: Ende der 9., der 14., der 19., der 24., der 29. Woche usw.
example: five and four weeks

Engels's first example: if the working period is 5 weeks, the circulation time 4 weeks, and Capital I is £500, then a sum of £500 flows back each time — at the end of week 9, 14, 19, 24, 29, and so on.

Ist die Arbeitsperiode = 6 Wochen, Umlaufszeit = 3 Wochen, Kapital I = 600 Pfd.St., so fließen je 600 Pfd.St. zurück: Ende der 9., der 15., der 21., der 27., der 33. Woche usw.
example: six and three weeks

Engels's second example: if the working period is 6 weeks, the circulation time 3 weeks, and Capital I is £600, then £600 flows back each time — at the end of week 9, 15, 21, 27, 33, and so on.

Endlich ist die Arbeitsperiode = 4 Wochen, Umlaufszeit = 5 Wochen, Kapital I = 400 Pfd.St., so erfolgt Rückfluß von je 400 Pfd.St.: Ende der 9., der 13., der 17., der 21., der 25. Woche usw.
example: four and five weeks

And Engels's third example: if the working period is 4 weeks, the circulation time 5 weeks, and Capital I is £400, then £400 flows back each time — at the end of week 9, 13, 17, 21, 25, and so on.

Ob und wieviel von diesem zurückgefloßnen Geld für die laufende Arbeitsperiode überschüssig, also freigesetzt ist, macht keinen Unterschied. Es wird vorausgesetzt, daß die Produktion ununterbrochen auf dem laufenden Maßstab vorangeht, und damit dies erfolge, muß das Geld vorhanden sein, also rückfließen, ob "freigesetzt" oder nicht. Wird die Produktion unterbrochen, so hört auch die Freisetzung auf.
release doesn't change the need

Engels adds: whether, and how much, of this returned money is surplus to the current working period — that is, released — makes no difference. It is assumed that production goes on uninterrupted on its current scale, and for that to happen the money has to be there, has to flow back, whether "released" or not. If production is interrupted, the release stops too.

Mit andern Worten: Es erfolgt allerdings Freisetzung von Geld, also Bildung von latentem, nur potentiellem Kapital in Geldform; aber unter allen Umständen und nicht nur unter den im Text näher präzisierten speziellen Bedingungen; und sie erfolgt auf größerm als auf dem im Text angenommenen Maßstab. Mit Beziehung auf das zirkulierende Kapital I befindet sich der industrielle Kapitalist am Ende jedes Umschlags ganz in der Lage wie bei Errichtung des Geschäfts: er hat es wieder ganz und auf einmal in der Hand, während er es nur allmählich wieder in produktives Kapital verwandeln kann.
release happens more broadly

In other words, Engels grants that release of money does happen — that latent, merely potential capital in money form does form — but it happens under all circumstances, not only under the special conditions spelled out in the text, and it happens on a larger scale than the text assumes. With respect to the circulating Capital I, the industrial capitalist finds himself, at the end of every turnover, in exactly the position he was in when he first set up the business: he has the whole sum in hand again, all at once, even though he can only turn it back into productive capital gradually.

Worauf es im Text ankommt, ist der Nachweis, daß einerseits ein beträchtlicher Teil des industriellen Kapitals stets in Geldform vorhanden sein, andrerseits ein noch beträchtlicherer zeitweilig Geldform annehmen muß. Dieser Nachweis wird durch diese meine zusätzlichen Bemerkungen höchstens verstärkt. - F. E.}
the point of it all

What matters in the text, Engels says, is the demonstration that a considerable part of industrial capital must always exist in money form, and that an even larger part must temporarily take on money form as well. These additional remarks of his, at most, reinforce that demonstration. — F. E.

Kap. 15
Wirkung von Preiswechsel; Fall I
Units u129-u134 held prices constant and varied circulation TIME. Section V runs the same machinery with the variable swapped: it holds time constant and lets price move, to show the release-and-need mechanism is not specific to turnover length at all.
Wir haben eben unterstellt gleichbleibende Preise, gleichbleibende Stufenleiter der Produktion auf der einen Seite, Kontraktion oder Expansion der Zirkulationszeit auf der andern. Unterstellen wir jetzt dagegen gleichbleibende Größe der Umschlagsperiode, gleichbleibende Stufenleiter der Produktion, aber auf der andern Seite Preiswechsel, d.h. Fall oder Steigen im Preis von Rohmaterialen, Hilfsstoffen und Arbeit oder der beiden ersten dieser Elemente. Gesetzt, der Preis von Roh- und Hilfsstoffen, sowie der Arbeitslohn, falle um die Hälfte. Es wären dann also in unserm Beispiel wöchentlich 50 Pfd.St. statt 100 Pfd.St. und für die neunwöchentliche Umschlagsperiode 450 Pfd.St. statt 900 Pfd.St. vorgeschoßnes Kapital nötig. 450 Pfd.St. des vorgeschoßnen Kapitalwerts werden ausgeschieden zunächst als Geldkapital, aber der Produktionsprozeß auf derselben Stufenleiter und mit derselben Umschlagsperiode und der frühern Teilung derselben werde fortgesetzt. Auch die jährliche Produktmasse bleibt dieselbe, aber ihr Wert ist um die Hälfte gefallen. Weder eine Beschleunigung im
prices change, not turnover time

Up to now we've held prices steady and let the turnover period stretch or shrink instead. Now let's do the opposite: hold the turnover period and the scale of production steady, and let prices change — the price of raw materials, of auxiliary materials, and of labour, or of the first two of these. Say the price of raw and auxiliary materials, and wages, falls by half. In our example that means £50 a week instead of £100, and £450 of advanced capital for the nine-week turnover period instead of £900. £450 of the capital value that used to be advanced is now set free — for the moment, as money capital — while production keeps running at the same scale, with the same turnover period split up the same way as before. The year's output is still the same quantity of goods, but its value has fallen by half. None of this was produced by a speeding-up of circulation, or by a change in the amount of money circulating — though this price change does go along with a shift in the supply and demand for money capital.

Umlauf, noch eine Änderung in der Masse des zirkulierenden Geldes hat diesen Wechsel hervorgebracht, der auch von einem Wechsel in Angebot und Nachfrage von Geldkapital begleitet ist. Umgekehrt. Der Fall im Wert, resp. Preis, der Elemente des produktiven Kapitals um die Hälfte hätte zuerst die Wirkung, daß ein um die Hälfte verminderter Kapitalwert für das nach wie vor auf gleicher Stufenleiter fortgeführte Geschäft X vorgeschossen, also auch nur die Hälfte Geld von seiten des Geschäfts X auf den Markt zu werfen wäre, da das Geschäft X diesen Kapitalwert zunächst in der Form von Geld, d.h. als Geldkapital vorschießt. Die in Zirkulation geworfne Geldmasse hätte abgenommen, weil die Preise der Produktionselemente gefallen. Dies wäre die erste Wirkung.
the first effect: less money needed

But the causation actually runs the other way. The fall in the value, or price, of the elements of productive capital by half would, first of all, mean that business X — still running at the same scale as before — only needs half as much capital value advanced to it, and so only throws half as much money onto the market, since business X advances that capital value first in the form of money, as money capital. The amount of money thrown into circulation would have shrunk, because the prices of the elements of production fell. That was the first effect.

Zweitens aber: Die Hälfte des ursprünglich vorgeschoßnen Kapitalwerts von 900 Pfd.St. = 450 Pfd.St., die a) abwechselnd die Form von Geldkapital, produktivem Kapital und Warenkapital durchlief, b) sich gleichzeitig beständig nebeneinander zum Teil in der Form von Geldkapital, zum Teil in der von produktivem Kapital und zum Teil in der von Warenkapital befand, würde ausgeschieden aus dem Kreislauf des Geschäfts X und daher als zuschüssiges Geldkapital auf den Geldmarkt treten, als zuschüssiger Bestandteil auf ihn wirken. Diese freigesetzten 450 Pfd.St. Geld wirken als Geldkapital, nicht weil sie zur Betreibung des Geschäfts X überschüssig gewordnes Geld sind, sondern weil sie Bestandteil des Original-Kapitalwerts sind, daher als Kapital fortwirken und nicht als bloßes Zirkulationsmittel verausgabt werden sollen. Die nächste Form, sie als Kapital wirken zu lassen, ist, sie als Geldkapital auf den Geldmarkt zu werfen. Andrerseits könnte auch die Stufenleiter der Produktion (abgesehn vom fixen Kapital) verdoppelt werden. Mit demselben vorgeschoßnen Kapital von 900 Pfd.St. würde dann ein Produktionsprozeß von doppeltem Umfang betrieben.
second effect: £450 comes free

But there is a second effect. Half of the capital value originally advanced — £900, so £450 — used to pass through the forms of money capital, productive capital, and commodity capital in turn, and at any one moment was split across all three forms at once. That £450 is now set free from business X's circuit and enters the money market as an additional block of money capital — it acts on the market as something extra. This freed £450 acts as money capital not because it has become surplus money no longer needed to run business X, but because it is part of the original capital value — so it goes on functioning as capital, rather than being spent as a mere means of circulation. The next way for it to act as capital is to be thrown onto the money market as money capital. Or, alternatively, the scale of production could be doubled instead (fixed capital aside). The same £900 of advanced capital could then run a production process twice the size.

Stiegen andrerseits die Preise der flüssigen Elemente des produktiven Kapitals um die Hälfte, so wären statt 100 Pfd.St. wöchentlich 150 Pfd.St. nötig, also statt 900 Pfd.St. vielmehr 1.350 Pfd.St. 450 Pfd.St. zuschüssiges Kapital wäre nötig, um das Geschäft auf derselben Stufenleiter zu betreiben, und dies würde pro tanto, je nach dem Stand des Geldmarkts, einen größern oder geringem Druck auf ihn ausüben. Wäre alles auf ihm disponible Kapital schon verlangt, so entstände erhöhte Konkurrenz um disponibles Kapital. Läge ein Teil desselben brach, so würde er pro tanto in Aktivität gerufen.
if prices rise, more capital needed

If, on the other hand, the prices of the fluid elements of productive capital rose by half, £150 a week would be needed instead of £100 — so £1,350 instead of £900. £450 of additional capital would be needed to keep the business running at the same scale, and depending on the state of the money market, this would put a greater or lesser strain on it. If all the capital available on the market were already spoken for, competition for available capital would intensify. If some of it were lying idle, that idle capital would now be drawn into use.

Aber es kann auch drittens, bei gegebner Stufenleiter der Produktion, gleichbleibender Umschlagsgeschwindigkeit und gleichbleibendem Preise der Elemente des flüssigen produktiven Kapitals, der Preis der Produkte des
a third case: the output price

There is also a third possibility. With the scale of production fixed, the speed of turnover unchanged, and the price of the fluid elements of productive capital unchanged, the price of what business X actually sells — its own products — could still rise or fall.

Geschäfts X fallen oder steigen. Fällt der Preis der vom Geschäft X gelieferten Waren, so sinkt der Preis seines Warenkapitals von 600 Pfd.St., die es beständig in Zirkulation warf, z.B. auf 500 Pfd.St. Ein Sechstel vom Wert des vorgeschoßnen Kapitals fließt also nicht aus dem Zirkulationsprozeß zurück (der im Warenkapital steckende Mehrwert bleibt hier außer Frage); es geht in demselben verloren. Aber da der Wert, resp. Preis, der Produktionselemente derselbe bleibt, reicht dieser Rückfluß von 500 Pfd.St. nur hin, um 5/6 des beständig im Produktionsprozeß beschäftigten Kapitals von 600 Pfd.St. zu ersetzen. Es müßten also 100 Pfd.St. zuschüssiges Geldkapital verausgabt werden, um die Produktion auf derselben Stufenleiter fortzusetzen.
falling output price: money runs short

Say the price of the goods business X delivers falls. Then the price of its commodity capital of £600 — the amount it constantly throws into circulation — drops, say, to £500 (the surplus value locked up in that commodity capital doesn't come into it here). A sixth of the value of the advanced capital fails to flow back from the circulation process; it is simply lost there. But since the value, or price, of the elements of production stays the same, this reflux of £500 is only enough to replace five-sixths of the £600 capital constantly employed in production. So £100 of additional money capital would have to be laid out to keep production going at the same scale.

Umgekehrt: Stiege der Preis der Produkte des Geschäfts X, so der Preis des Warenkapitals von 600 Pfd.St. auf z.B. 700 Pfd.St. Ein Siebentel seines Preises = 100 Pfd.St. kommt nicht aus dem Produktionsprozeß her, ist nicht in ihm vorgeschossen worden, sondern fließt aus dem Zirkulationsprozeß her. Es sind aber nur 600 Pfd.St. nötig, um die produktiven Elemente zu ersetzen; also Freisetzung von 100 Pfd.St.
rising output price: money set free

The reverse case: if the price of business X's products rose, the price of its £600 commodity capital might rise to, say, £700. A seventh of that price — £100 — doesn't come out of the production process at all; it was never advanced there, but comes purely from the circulation process. Yet only £600 is needed to replace the elements of production. So £100 is set free.

Die Untersuchung der Ursachen, warum im ersten Fall die Umschlagsperiode sich abkürzt oder verlängert, im zweiten Fall die Preise von Rohmaterial und Arbeit, im dritten Fall die Preise der gelieferten Produkte steigen oder fallen, gehört nicht in den Kreis der bisherigen Untersuchung.
outside this inquiry: why prices shift

Why the turnover period shortens or lengthens in the first case, why the prices of raw material and labour rise or fall in the second, or why the prices of the delivered products rise or fall in the third — none of that belongs to the inquiry we've been conducting.

Was aber wohl hierher gehört ist dies:
what does belong here

But this does belong here:

Nach Voraussetzung unsers Beispiels wird durch Verkürzung der Zirkulationsperiode 1/9 weniger vorgeschoßnes Gesamtkapital nötig, das letztre daher von 900 Pfd.St. auf 800 Pfd.St. reduziert und 100 Pfd.St. Geldkapital ausgeschieden.
shortening turnover time frees £100

Under the assumptions of our example, shortening the circulation period means a ninth less total capital needs to be advanced — bringing it down from £900 to £800, and setting free £100 of money capital.

Das Geschäft X liefert nach wie vor dasselbe sechswöchentliche Produkt mit demselben Wert von 600 Pfd.St., und da das ganze Jahr hindurch ununterbrochen gearbeitet wird, liefert es in 51 Wochen dieselbe Masse Produkt zum Wert von 5.100 Pfd.St. Also in bezug auf die Massen und den Preis des Produkts, den das Geschäft in die Zirkulation wirft, besteht keine Verändrung, auch nicht in bezug auf die Termine, in welchen es das Produkt auf den Markt wirft. Aber es sind 100 Pfd.St. ausgeschieden, weil durch Verkürzung der Zirkulationsperiode der Prozeß mit nur 800 Pfd.St. Vorschußkapital gesättigt ist, statt vorher mit 900 Pfd.St. Die 100 Pfd.St.
same output, smaller advance needed

Business X still delivers the same six-weekly output worth £600 as before, and since work carries on without a break through the year, it delivers the same total quantity over 51 weeks, worth £5,100. So nothing changes in the quantity or the price of the product it throws into circulation, nor in the timing of when it puts that product on the market. Yet £100 has been set free, because shortening the circulation period now lets the process run on only £800 of advanced capital instead of the previous £900. The £100

ausgeschiednes Kapital existieren in der Form von Geldkapital. Sie repräsentieren aber keineswegs den Teil des vorgeschoßnen Kapitals, der beständig in der Form von Geldkapital fungieren müßte. Unterstellen wir, von dem vorgeschoßnen flüssigen Kapital I = 600 Pfd.St. würden 4/5 beständig in Produktionsmaterialien ausgelegt, = 480 Pfd.St., und 1/5 = 120 Pfd.St. in Arbeitslohn. Also wöchentlich 80 Pfd.St. in Produktionsstoffen, 20 Pfd.St. in Arbeitslohn. Kapital II = 300 Pfd.St. muß also ebenfalls geteilt werden in 4/5 = 240 Pfd.St. für Produktionsstoffe und 1/5 = 60 Pfd.St. für Arbeitslohn. Das in Arbeitslohn ausgelegte Kapital muß stets in Geldform vorgeschossen werden. Sobald das Warenprodukt zum Wertbetrag von 600 Pfd.St. in Geldform rückverwandelt, verkauft ist, können davon 480 Pfd.St. in Produktionsstoffe (in produktiven Vorrat) verwandelt werden, aber 120 Pfd.St. behalten ihre Geldform, um zur Zahlung des Arbeitslohns für 6 Wochen zu dienen. Diese 120 Pfd.St. sind das Minimum des zurückfließenden Kapitals von 600 Pfd.St., welches stets in der Form von Geldkapital erneuert und ersetzt werden, und daher stets als in Geldform fungierender Teil des vorgeschoßnen Kapitals vorhanden sein muß.
the £100 isn't the wage minimum

of set-free capital exists in the form of money capital. But it is by no means the part of the advanced capital that has to keep functioning permanently in the form of money capital. Suppose that of the £600 advanced fluid capital I, four-fifths — £480 — is constantly laid out on materials of production, and one-fifth — £120 — on wages: £80 a week on materials, £20 a week on wages. Capital II, £300, must be split the same way: four-fifths, £240, for materials, one-fifth, £60, for wages. Capital laid out on wages must always be advanced in money form. As soon as the commodity product worth £600 is reconverted into money — sold — £480 of it can be turned into materials of production (into productive stock), but £120 keeps its money form, held back to pay six weeks' wages. That £120 is the minimum of the returning £600 capital that must always be renewed and replaced in the form of money capital — it must always be there, permanently, as the part of the advanced capital functioning in money form.

Wenn nun von dem periodisch für drei Wochen freigesetzten, und ebenfalls in 240 Pfd.St. produktiven Vorrat und 60 Pfd.St. Arbeitslohn spaltbaren, 300 Pfd.St. durch Verkürzung der Umlaufszeit 100 Pfd.St. in der Form von Geldkapital ausgeschieden, ganz aus dem Mechanismus des Umschlags herausgeworfen werden - wo kommt das Geld für diese 100 Pfd.St. Geldkapital her? Nur zum fünften Teil bestehn sie aus periodisch innerhalb der Umschläge freigesetztem Geldkapital. Aber 4/5 = 80 Pfd.St. sind bereits ersetzt durch zuschüssigen Produktionsvorrat zu demselben Wert. In welcher Weise wird dieser zuschüssige Produktionsvorrat in Geld verwandelt, und wo kommt das Geld zu diesem Umsatz her?
where does the £100 come from

Now, of the £300 that is periodically set free every three weeks — itself splittable the same way into £240 of productive stock and £60 of wages — shortening the circulation time throws £100 clean out of the turnover mechanism, set free in the form of money capital. Where does the money for this £100 of money capital come from? Only a fifth of it is money capital that was already being periodically set free within the ordinary turnovers. But four-fifths of it — £80 — has already been replaced by additional productive stock of the same value. So how does this additional stock get converted into money, and where does the money for that conversion come from?

Ist die Verkürzung der Umlaufszeit einmal eingetreten, so werden von den obigen 600 Pfd.St. statt 480 Pfd.St. nur 400 Pfd.St. in Produktionsvorrat rückverwandelt. Die übrigen 80 Pfd.St. werden in ihrer Geldform festgehalten und bilden mit den obigen 20 Pfd.St. für Arbeitslohn die 100 Pfd.St. ausgeschiednes Kapital. Obgleich diese 100 Pfd.St. vermittelst des Kaufs der 600 Pfd.St. Warenkapital aus der Zirkulation herkommen und ihr jetzt entzogen werden, indem sie nicht wieder in Arbeitslohn und Produktionselementen ausgelegt werden, so ist nicht zu vergessen, daß sie in Geldform wieder in derselben Form sind, worin sie ursprünglich in die Zirkulation geworfen wurden. Anfänglich wurden 900 Pfd.St. Geld in Produktionsvorrat und Arbeitslohn ausgelegt. Um denselben Produktionsprozeß auszuführen, sind jetzt nur noch 800 Pfd.St. nötig. Die hiermit in Geldform ausgeschiednen 100 Pfd.St. bilden jetzt ein neues, Anlage suchendes Geldkapital, einen neuen Bestandteil des Geldmarkts. Sie befanden sich zwar periodisch schon früher in der Form von freigesetztem Geldkapital und von zuschüssigem Produktivkapital, aber diese latenten Zustände selbst waren Bedingung für die Ausführung, weil für die Kontinuität, des Produktionsprozesses. Jetzt sind sie nicht mehr dazu nötig und bilden deswegen neues Geldkapital und einen Bestandteil des Geldmarkts, obgleich sie durchaus weder ein zuschüssiges Element des vorhandnen gesellschaftlichen Geldvorrats bilden (denn sie existierten beim Beginn des Geschäfts und wurden durch es in die Zirkulation geworfen) noch einen neuakkumulierten Schatz.
the same £100, a new job

Once the circulation time has actually shortened, only £400 of the £600 is reconverted into productive stock, instead of £480. The remaining £80 is held fast in its money form, and together with the £20 for wages makes up the £100 of set-free capital. It's true that this £100 comes out of circulation by way of the purchase of the £600 commodity capital, and is now withdrawn from circulation because it isn't laid out again on wages and materials of production — but it's worth remembering that, in money form, it is back in exactly the form in which it was originally thrown into circulation. Originally, £900 in money was laid out on productive stock and wages. To carry out the very same production process, only £800 is needed now. The £100 set free in money form by this now forms a new money capital looking for somewhere to invest — a new component of the money market. It's true that this £100 was already found, periodically, earlier on, in the form of freed money capital and of additional productive capital — but those earlier, temporary states were themselves a condition for carrying out the production process at all, for keeping it continuous. Now they are no longer needed for that, and so they form new money capital and a new component of the money market — even though they are neither an additional element added to the existing social stock of money (since they already existed when the business began, and it was the business itself that threw them into circulation) nor a newly accumulated hoard.

Diese 100 Pfd.St. sind jetzt in der Tat der Zirkulation entzogen, soweit sie ein Teil des vorgeschoßnen Geldkapitals sind, der nicht mehr in demselben Geschäft angewandt wird. Aber diese Entziehung ist nur möglich, weil die Verwandlung des Warenkapitals in Geld und dieses Geldes in produktives Kapital, W´- G - W, um eine Woche beschleunigt, also auch der Umlauf des in diesem Prozeß tätigen Geldes beschleunigt ist. Sie sind ihr entzogen, weil sie nicht mehr zum Umschlag des Kapitals X nötig.
freed only because circulation sped up

The £100 is now genuinely withdrawn from circulation, in the sense that it's the part of the advanced money capital no longer employed in this same business. But that withdrawal is only possible because the conversion of commodity capital into money, and of that money back into productive capital — the movement W′–G–W — has been sped up by a week, and so the circulation of the money active in that process has been sped up too. It is withdrawn because it is no longer needed for the turnover of capital X.

Es ist hier angenommen, daß das vorgeschoßne Kapital seinem Anwender gehört. Wäre es geborgt, so änderte das nichts. Mit der Verkürzung der Umlaufszeit hätte er statt 900 Pfd.St. nur noch 800 Pfd.St. geborgtes Kapital nötig. 100 Pfd.St. dem Borger zurückgegeben, bilden nach wie vor 100 Pfd.St. neues Geldkapital, nur in der Hand von Y statt in der Hand von X. Erhält ferner Kapitalist X seine Produktionsstoffe zum Wert von 480 Pfd.St. auf Kredit, so daß er nur 120 Pfd.St. in Geld für Arbeitslohn selbst vorzuschießen hat, so würde er jetzt für 80 Pfd.St. weniger Produktionsstoffe auf Kredit zu beziehn haben, diese also überschüssiges Warenkapital für den Kredit gebenden Kapitalisten bilden, während Kapitalist X 20 Pfd.St. in Geld ausgeschieden hätte.
borrowed capital: same £100, new hands

We've been assuming the advanced capital belongs to the person using it. If it were borrowed instead, nothing about this would change. With the circulation time shortened, he would now need only £800 of borrowed capital instead of £900. The £100 handed back to the lender still forms £100 of new money capital exactly as before — only now it sits in Y's hands instead of X's, rather than disappearing. Or again: suppose capitalist X gets his £480 worth of materials of production on credit, so that he only has to advance £120 in money himself, for wages. He would now need £80 less of materials on credit — so that £80 becomes excess commodity capital sitting with the capitalist who extends the credit — while capitalist X himself would have set free £20 in money.

Kap. 15
Verkürzter Produktionsvorrat; Fälle II und III
Unit u135 showed release and need running on the price lever within one business. This unit runs the same lever across a chain of businesses and closes the chapter: whatever moves, in time or in price, capital that is freed on one side of a boundary is capital that had to be found on the other — never minted, only moved.
Der zuschüssige Produktionsvorrat ist jetzt reduziert um 1/3 . Er war, als 4/5 von 300 Pfd.St., dem zuschüssigen Kapital II, = 240 Pfd.St., er ist jetzt nur = 160 Pfd.St.; d.h. zuschüssiger Vorrat für 2 Wochen statt für 3. Er wird jetzt alle 2 Wochen erneuert statt alle 3, aber auch nur für 2 Wochen statt für 3. Die Einkäufe, z.B. auf dem Baumwollmarkt, wiederholen sich so häufiger und in kleinem Portionen. Dieselbe Portion Baumwolle wird dem Markt entzogen, denn die Masse des Produkts bleibt gleich. Aber die Entziehung verteilt sich anders in der Zeit und über mehr Zeit. Nehmen wir z.B. an, es handle sich um 3 Monate und um 2; der Jahreskonsum an Baumwolle sei 1.200 Ballen. Im ersten Fall werden verkauft:
the reserve shrinks, restocking speeds up

The extra production stock has now shrunk by a third. It used to be 240 pounds — four-fifths of the 300 pounds of extra capital II — and now it is only 160 pounds. That means enough stock for two weeks instead of three. It gets renewed every two weeks instead of every three, but each renewal is smaller, covering only two weeks' worth instead of three. So purchases — on the cotton market, say — happen more often and in smaller lots. The same total amount of cotton is drawn out of the market, because the total output hasn't changed. What changes is how that withdrawal is spread over time: in smaller pieces, over more separate purchases. Take an example: suppose the period is three months in one case and two months in the other, with a yearly cotton consumption of 1,200 bales. In the first case, the amounts sold are:

1. Januar
300 Ballen, bleiben auf Lager
900 Ballen
1. April
300 Ballen, bleiben auf Lager
600 Ballen
1. Juli
300 Ballen, bleiben auf Lager
300 Ballen
1. Oktober
300 Ballen, bleiben auf Lager
0 Ballen
1 January 300 bales, leaving 900 bales in the warehouse
1 April 300 " " 600
1 July 300 " " 300
1 October 300 " " —
Dagegen im zweiten Fall:
same cotton, spread differently

By contrast, in the second case:

1. Januar
verkauft 200, auf Lager
1.000 Ballen
1. März
verkauft 200, auf Lager
800 Ballen
1. Mai
verkauft 200, auf Lager
600 Ballen
1. Juli
verkauft 200, auf Lager
400 Ballen
1. September
verkauft 200, auf Lager
200 Ballen
1. November
verkauft 200, auf Lager
0 Ballen
1 January 200 bales sold, leaving 1,000 in the warehouse
1 March 200 " " 800
1 May 200 " " 600
1 July 200 " " 400
1 September 200 " " 200
1 November 200 " " —
Also fließt das in Baumwolle angelegte Geld erst einen Monat später vollständig zurück, im November statt im Oktober. Wenn also durch die Verkürzung der Umlaufszeit, und damit des Umschlags, 1/9 des vorgeschoßnen Kapitals = 100 Pfd.St. ausgeschieden wird in der Form von Geldkapital, und wenn diese 100 Pfd.St. sich zusammensetzten aus 20 Pfd.St. periodisch überschüssigem Geldkapital für Zahlung des Wochenlohns und aus 80 Pfd.St., die als periodisch überschüssiger Produktionsvorrat für eine Woche existierten - so entspricht, mit Bezug auf diese 80 Pfd.St., dem verringerten überschüssigen Produktionsvorrat auf Seite des Fabrikanten der vergrößerte Warenvorrat auf Seite des Baumwollhändlers. Dieselbe Baumwolle liegt ebensoviel länger auf seinem Lager als Ware, als sie kürzer auf dem Lager des Fabrikanten als Produktionsvorrat liegt.
the dealer's mirror

So the money laid out on cotton comes back in full a month later — in November instead of October. Suppose the shorter circulation time, and so the shorter turnover, releases a ninth of the capital advanced — 100 pounds — in the form of money capital. Suppose further that this 100 pounds is made up of 20 pounds that periodically sat idle as surplus money for the weekly wage, and 80 pounds that periodically existed as one week's worth of surplus production stock. Then, for that 80 pounds, the smaller surplus stock on the manufacturer's side is matched by a larger stock of goods sitting with the cotton dealer. The very same cotton stays that much longer on the dealer's shelves as unsold goods as it stays shorter on the manufacturer's shelves as raw material waiting to be used.

Bisher nahmen wir an, die Verkürzung der Umlaufszeit im Geschäft X rühre daher, daß X seine Ware rascher verkauft oder bezahlt erhält, resp. bei Kredit der Zahlungstermin verkürzt wird. Diese Verkürzung ist also abgeleitet aus einer Verkürzung des Verkaufs der Ware, der Verwandlung von Warenkapital in Geldkapital, W´- G, der ersten Phase des Zirkulationsprozesses. Sie könnte auch entspringen aus der zweiten Phase G - W und daher aus gleichzeitiger Ändrung, sei es in der Arbeitsperiode, sei es in der Umlaufszeit der Kapitale Y, Z etc., die dem Kapitalisten X die Produktionselemente seines flüssigen Kapitals liefern.
two sources of a shorter turnover

Up to now we assumed that the shorter circulation time in business X came from X selling the goods faster, or being paid faster — or, where credit is involved, from a shorter payment term. That kind of shortening traces back to a shorter sale of the goods: the turn of commodity-capital into money-capital, the first phase of the circuit. But the shortening could just as well come from the second phase, the turn of money into goods, and so from a simultaneous change — in the working period, or in the circulation time — of the businesses that supply capitalist X with the raw materials for his circulating capital.

Z.B. wenn Baumwolle, Kohle etc. bei dem alten Transport 3 Wochen auf Reisen sind von ihrem Produktions- oder Stapelplatz bis zum Sitz der Produktionsstätte des Kapitalisten X, so muß das Minimum des Produktionsvorrats von X bis zur Ankunft neuer Vorräte wenigstens für 3 Wochen reichen. Solange Baumwolle und Kohle sich auf Reisen befinden, können sie nicht als Produktionsmittel dienen. Sie bilden jetzt vielmehr einen
goods in transit aren't yet usable

Take an example: suppose cotton or coal used to spend three weeks travelling from where it is produced or stored to the site of capitalist X's works. Then X's minimum production stock has to last at least three weeks until fresh supplies arrive. While the cotton and coal are in transit, they cannot yet serve as means of production. Instead, at that stage, they form

Arbeitsgegenstand der Transportindustrie und des darin beschäftigten Kapitals und in seiner Zirkulation befindliches Warenkapital für den Kohlenproduzenten oder den Baumwollenverkäufer. Bei verbessertem Transport reduziere sich die Reise auf 2 Wochen. So kann der Produktionsvorrat aus einem dreiwöchentlichen sich in einen zweiwöchentlichen verwandeln. Damit wird das hierfür vorgeschoßne Zuschußkapital von 80 Pfd.St. freigesetzt und ebenso das von 20 Pfd.St. für Arbeitslohn, weil das umgeschlagne Kapital von 600 Pfd.St. eine Woche früher zurückfließt.
faster transport frees capital

the raw material of the transport industry — goods being worked on by the capital employed there — and, from the point of view of the coal producer or the cotton seller, commodity-capital still on its way to market. Now suppose transport improves and the journey shrinks to two weeks. The production stock can then shrink too, from a three-week stock to a two-week one. That frees up the 80 pounds of extra capital that had been tied up to cover it, and the 20 pounds tied up for wages as well, because the 600 pounds of turned-over capital now flows back a week sooner.

Andrerseits, wenn z.B. die Arbeitsperiode des Kapitals, das den Rohstoff liefert, sich verkürzt (wovon Beispiele in den vorigen Kapiteln gegeben), also auch die Möglichkeit, den Rohstoff zu erneuern, kann der produktive Vorrat sich vermindern, der Zeitraum von einer Erneuerungsperiode bis zur andern sich verkürzen.
a shorter working period upstream

Or, going the other way: suppose the working period of the business that supplies the raw material gets shorter (earlier chapters gave examples of this), so that the raw material can be replaced more often. Then the productive stock can shrink, and the gap between one replenishment and the next can shorten too.

Wenn umgekehrt die Umlaufszeit und daher die Umschlagsperiode sich verlängert, so ist Vorschuß von zuschüssigem Kapital nötig. Aus der Tasche des Kapitalisten selbst, wenn er zuschüssiges Kapital besitzt. Dies wird dann aber in irgendeiner Form angelegt sein, als Teil des Geldmarkts; um es disponibel zu machen, muß es aus der alten Form losgeschält, z.B. Aktien verkauft, Depositen entzogen werden, so daß auch hier indirekte Wirkung auf den Geldmarkt eintritt. Oder er muß es aufnehmen. Was den für Arbeitslohn nötigen Teil des zuschüssigen Kapitals betrifft, so ist er unter normalen Umständen stets als Geldkapital vorzuschießen, und hierfür übt der Kapitalist X seinen Anteil direkten Drucks auf den Geldmarkt aus. Für den in Produktionsstoffen anzulegenden Teil ist dies nur dann unerläßlich, wenn er sie bar zahlen muß. Kann er sie auf Kredit erhalten, so übt dies keinen direkten Einfluß auf den Geldmarkt, da das zuschüssige Kapital dann direkt als Produktionsvorrat und nicht in erster Instanz als Geldkapital vorgeschossen wird. Sofern sein Kreditgeber etwa den von X erhaltnen Wechsel wieder direkt auf den Geldmarkt wirft, ihn diskontieren läßt etc., würde dies indirekt, durch zweite Hand auf den Geldmarkt wirken. Benutzt er aber diesen Wechsel, um damit z.B. eine später abzutragende Schuld zu decken, so wirkt dies zuschüssig vorgeschoßne Kapital weder direkt noch indirekt auf den Geldmarkt.
a longer turnover needs fresh capital

If instead the circulation time — and with it the turnover period — gets longer, then extra capital has to be advanced to cover it. It can come out of the capitalist's own pocket, if he has spare capital lying around. But that spare capital will usually be tied up in some other form, as part of the money market, and freeing it up — selling shares, pulling out deposits, and so on — has its own indirect effect on the money market. Or he has to borrow it. The part of the extra capital needed for wages must, under normal conditions, always be advanced as money capital, and it is here that capitalist X puts his own share of direct pressure on the money market. For the part to be spent on raw materials, direct pressure is unavoidable only if he has to pay cash. If he can get the materials on credit, there is no direct effect on the money market at all, because the extra capital is then advanced straight into the production stock rather than first appearing as money capital. If his creditor turns around and throws the bill he got from X back onto the money market — has it discounted, say — then the effect reaches the money market indirectly, at second hand. But if the creditor instead uses that bill to settle some debt of his own falling due later, then this extra capital never touches the money market at all, neither directly nor indirectly.

Wir nahmen eben an, daß das Gesamtkapital von 900 Pfd.St. ausgelegt wird zu = 720 Pfd.St. in Produktionsstoffen und zu 1/5 = 180 Pfd.St. in Arbeitslohn.
the numbers restated

We had assumed a total capital of 900 pounds, laid out as 720 pounds in raw materials and a fifth, 180 pounds, in wages.

Fallen die Produktionsstoffe um die Hälfte, so erfordern sie für die sechswöchentliche Arbeitsperiode nur 240 Pfd.St. statt 480 Pfd.St., und für das Zusatzkapital Nr. II nur 120 Pfd.St. statt 240 Pfd.St. Kapital I wird also reduziert von 600 Pfd.St. auf 240 + 120 = 360 Pfd.St. und Kapital II von 300 Pfd.St. auf 120 + 60 = 180 Pfd.St. Das Gesamtkapital von 900 Pfd.St. auf 360 + 180 = 540 Pfd.St. Es werden also ausgeschieden 360 Pfd.St.
cheaper materials, smaller capital

Suppose the price of raw materials falls by half. Then the six-week working period only needs 240 pounds instead of 480, and the second, supplementary capital only needs 120 pounds instead of 240. Capital I shrinks from 600 pounds to 240 plus 120, that is 360 pounds. Capital II shrinks from 300 pounds to 120 plus 60, that is 180 pounds. The total capital of 900 pounds shrinks to 360 plus 180, that is 540 pounds. So 360 pounds is set free.

Dies ausgeschiedne und jetzt unbeschäftigte, daher auf dem Geldmarkt Anlage suchende Kapital, Geldkapital, ist nichts als ein Stück des ursprünglich als Geldkapital vorgeschoßnen Kapitals von 900 Pfd.St., das durch den Preisfall der Produktionselemente, worin es periodisch rückverwandelt, überflüssig geworden ist, soll das Geschäft nicht erweitert, sondern auf der alten Stufenleiter fortgesetzt werden. Wäre dieser Preisfall nicht zufälligen Umständen geschuldet (besonders reicher Ernte, Überzufuhr etc.), sondern einer Vermehrung der Produktivkraft in dem Zweig, der den Rohstoff liefert, so wäre dies Geldkapital ein absoluter Zuschuß zum Geldmarkt, überhaupt zu dem in der Form von Geldkapital disponiblen Kapital, weil es keinen integrierenden Bestandteil des bereits angewandten Kapitals mehr bildete.
real gain or just displacement?

This set-free capital, now idle and looking for somewhere to go on the money market, is nothing but a slice of the very same 900 pounds originally advanced as money capital. It has become surplus to requirements — assuming the business stays at the same scale rather than expanding — because the price of the raw materials it is periodically turned back into has fallen. Now, if that price fall were not owed to some accidental circumstance (an especially rich harvest, an oversupply, and so on) but to a rise in the productive power of the branch that supplies the raw material, then this money capital would be an outright addition to the money market — to the capital available in the form of money capital generally — because it would no longer form an integral part of the capital already at work in the business.

Hier geht bei Fall des Preises ein Teil des Kapitals verloren und muß daher durch neuen Vorschuß von Geldkapital ersetzt werden. Dieser Verlust des Verkäufers mag wiedergewonnen werden durch den Käufer. Direkt, wenn das Produkt nur durch zufällige Konjunkturen in seinem Marktpreis gefallen und nachher wieder auf seinen normalen Preis steigt. Indirekt, wenn der Preiswechsel durch Wertwechsel hervorgebracht ist, der auf das alte Produkt reagiert, und wenn dies Produkt wieder als Produktionselement in eine andre Produktionssphäre eingeht und hier pro tanto Kapital freisetzt. In beiden Fällen kann das für X verlorne Kapital, für dessen Ersatz er auf den Geldmarkt drückt, von seinen Geschäftsfreunden als neues zuschüssiges Kapital zugeführt sein. Es findet dann nur Übertragung statt.
a loss, sometimes recovered

Now consider a price fall: part of the capital is simply lost and has to be replaced by a fresh advance of money capital. This loss to the seller may be made good again by the buyer. Directly, if the product's market price fell only because of some passing turn of the market and afterward climbs back to its normal level. Indirectly, if the price change was really caused by a change in value — a change that reaches back onto the old product — and if that product then enters another branch of production as an element of production and frees up capital there. In either case, the capital that X lost, and for whose replacement he now leans on the money market, may be supplied to him by his business partners as fresh extra capital. When that happens, nothing new is created — one capital has simply been transferred to another.

Steigt umgekehrt der Preis des Produkts, so wird ein Kapitalteil, der nicht vorgeschossen war, aus der Zirkulation angeeignet. Es ist kein organischer Teil des im Produktionsprozeß vorgeschoßnen Kapitals und bildet daher, wenn die Produktion nicht ausgedehnt wird, ausgeschiednes Geldkapital. Da hier angenommen, daß die Preise der Elemente des Produkts gegeben waren, bevor es als Warenkapital auf den Markt trat, so könnte hier ein wirklicher Wertwechsel die Preiserhöhung verursacht haben, soweit er retroaktiv wirkte, z.B. die Rohmaterialien nachträglich gestiegen wären. In diesem Falle gewänne der Kapitalist X an seinem als Warenkapital zirkulierenden Produkt und an seinem vorhandnen Produktionsvorrat. Dieser Gewinn würde ihm ein Zuschußkapital liefern, das bei den neuen, erhöhten Preisen der Produktionselemente zum Fortbetrieb seines Geschäfts jetzt nötig wird.
a price rise creates a windfall

Now consider a price rise: a portion of capital that was never advanced at all gets pulled out of circulation as a gain. It was never part of the sum he actually laid out for production, so — as long as production is not expanded — it counts as set-free money capital. Since the prices of the product's elements were fixed before it went to market as commodity-capital, a genuine change in value could be behind this rise, working backward — say the raw materials went up in price afterward. If so, capitalist X gains twice over: on the product still circulating as commodity-capital, and on the production stock he already holds. That gain would hand him exactly the extra capital he now needs, at the new, higher prices of the raw materials, to keep his business running.

Oder aber die Preiserhöhung ist nur vorübergehend. Was dann auf Seite des Kapitalisten X als zuschüssiges Kapital nötig wird, fällt auf andrer Seite als freigesetztes aus, soweit sein Produkt ein Produktionselement für andre Geschäftszweige bildet. Was der eine verloren, hat der andre gewonnen.
what one loses, the other gains

Or the price rise may only be temporary. Whatever becomes necessary as extra capital on capitalist X's side then turns up as capital set free on the other side, wherever his product serves as an element of production for some other branch of business. What the one has lost, the other has gained.

Kap. 15
The Dilemma: Shrink the Scale or Advance Additional Capital
Chapter 14 closed on capital's permanently-money-form portion — a fact about the sphere of circulation. Chapter 15 turns that fact into arithmetic: given a fixed working period and circulation time, exactly how much extra capital does continuity cost, and where does it go when the business doesn't need it?
In this chapter and the one following, we deal with the influence of circulation time on the valorization of capital.
this chapter's question

In this chapter and the next one, we look at how the time it takes capital to turn over affects how much value that capital can create.

[First example.] Let us consider a commodity capital that is the product of a working period of nine weeks, for example. We abstract for the time being both from the portion of the product's value that is added to it by the average wear and tear of the fixed capital, and from the surplus-value added to it during the production process, so that the value of this product can be taken as equal to the value of the fluid capital advanced for its production, i.e. the value of the wages and of the raw and ancillary materials consumed in its production. Let this value be £900, so that the weekly outlay amounts to £100. The periodic production time, which coincides here with the working period, is nine weeks. It is immaterial in this connection whether we assume a working period for a continuous product or a continuous working period for a discrete product, as long as the quantum of the discrete product that is put on the market at one stroke simply takes nine weeks' labour. Let the circulation time be three weeks. The total turnover period is then twelve weeks. After nine weeks have elapsed, the productive capital advanced is transformed into commodity capital, but it now has to spend three weeks in the circulation period. Thus the new cycle of production can begin again only at the start of the thirteenth week, and production is at a standstill for three weeks, or a quarter of the total circulation period. It is also immaterial whether we suppose that this is the average time that it takes to sell the commodity, or whether the time is determined by the distance of the market, or, alternatively again, by the date of payment for the commodity sold. In every three months, production is at a halt for three weeks, i.e. for 4×3 = 12 weeks = 3 months of the year, or a quarter of the annual turnover period.
the standstill problem, in numbers

Take a batch of goods that is the product of one working period — say, nine weeks. For now, set aside two things: the extra value added by the ordinary wear of fixed capital, and the surplus-value added during production. With those set aside, the value of this batch of goods equals the value of the circulating capital advanced to produce it — that is, the wages paid and the raw and auxiliary materials used up. Say that value is £900, so the weekly outlay is £100. The periodic production time, which here is the same as the working period, is therefore 9 weeks. It makes no difference whether we think of this as one working period producing a single continuous product, or as a continuous working period producing a series of separate items — what matters is only that the quantity of goods taken to market at one time costs 9 weeks of labour to produce. Say the circulation time lasts 3 weeks. The whole turnover period then lasts 12 weeks. After 9 weeks the advanced productive capital has been turned into commodity capital, but it now spends three weeks sitting in circulation. So a new round of production cannot begin again until the start of the 13th week, and production would stand still for three weeks — one quarter of the whole turnover period. Again it makes no difference whether we assume it simply takes that long, on average, to sell the goods, or that the time is set by the distance to market, or by the payment terms on the goods sold. Every three months production would stand still for three weeks; over the year that is 4 × 3 = 12 weeks = 3 months = one quarter of the year's turnover time.

Hence if production is to be continuous, pursued on the same scale week in, week out, there are only two possibilities.
only two ways out

So if production is to run continuously, week after week, on the same scale, only two things are possible.

One possibility is that the scale of production is cut back, so that the sum of £900 is now sufficient to keep work going during the circulation time of the first turnover as well as during the working period. A second working period is then begun in the tenth week - and thus a new turnover period as well - before the first turnover period is at an end, since the turnover period is a twelve-week one, while the working period is nine weeks. £900 divided by 12 weeks gives £75 per week. It is clear straight away that a cut of this kind in the scale of business presupposes different dimensions for the fixed capital, and thus a reduced investment in general. It is questionable, however, whether this reduction can always be made, since the development of production in the various branches of industry sets a normal minimum of capital investment below which the business in question will cease to be competitive. This normal minimum itself grows steadily with the development of capitalist production, and so it is in no way fixed. Between the normal minimum at any time and the normal maximum, which is itself continuously on the increase, there are several intermediate levels - a middle range that permits varying degrees of capital investment. Within the bounds of this middle range, therefore, there can be a reduction in scale, the limits to this being fixed by the normal minimum at the time. In the case of a hold-up of production, over-supply of markets, increase in prices of raw materials, etc., the limitation of the normal outlay of circulation capital in relation to a given basis of fixed capital takes the form of a limitation of working hours, for example only half the day being worked, just as in periods of prosperity there is an abnormal extension of the circulating capital on the given basis of fixed capital - partly by the prolongation of working hours, partly by their intensification. With businesses that have always to reckon with fluctuations of this kind, these are coped with partly by the above means, and partly also by the employment of a larger number of workers, combined with a reserve of fixed capital, e.g. reserve locomotives on the railways, etc. Here we leave such abnormal fluctuations out of account, as we are assuming normal conditions.
route one: shrink the scale

One option — not a neutral one: shrink the scale of production, so that the £900 is enough to keep work going both during the working period and during the circulation time of the first turnover. Then, in week 10, a second working period — and so a second turnover period — begins before the first turnover period has even finished, since the turnover period is twelve weeks long but the working period only nine. Spread over 12 weeks, £900 works out to £75 a week (and note this route ties up relatively more of the capital as idle money, not less). This has consequences. First, shrinking the scale of the business this way means changing the size of the fixed capital too — the whole business set-up has to be scaled down. Second, it is not even clear this shrinking is always possible: for any given branch of production, there is a normal minimum amount of capital needed, and a business below that minimum cannot compete. This minimum itself keeps growing as capitalist production develops, so it is not fixed. But between whatever the normal minimum is at a given time and the ever-expanding normal maximum, there are many intermediate steps — a middle range that allows for very different amounts of capital. Within that middle range, shrinking the scale is possible; its floor is simply whatever the normal minimum happens to be at the time. Separately: when production is checked, markets are glutted, or raw materials become dear, the normal outlay of circulating capital — with the fixed capital unchanged — gets restricted by cutting working time, for instance by working only half-days. In the same way, in times of prosperity, the circulating capital gets abnormally extended on the same fixed-capital base, partly by lengthening the working day and partly by intensifying it. In businesses set up from the outset to handle such swings, people manage partly by these same means and partly by using more workers at once together with reserve fixed capital — reserve locomotives on the railways, for example. But such abnormal swings are set aside here, since we are assuming normal conditions.

For production to be continuous, the same circulating capital must be distributed in this case over a longer period of time, over twelve weeks instead of nine. In any given interval of time, therefore, the productive capital function is reduced; the fluid part of the productive capital is reduced from 100 to 75, i.e. by a quarter. The total sum by which the productive capital functioning during the nine-week working period is reduced is 9 × 25 = £225, or a quarter of the £900. But the ratio of the circulation time to the turnover period is also 3/12 = 1/4. It follows therefore that ifproduction is not to be interrupted during the circulation time of the productive capital that has been transformed into commodity capital, if it is rather to be continued simultaneously and continuously week by week, and there is no special circulating capital available for this purpose, the goal can only be attained by reducing the scale of the productive operations, by diminishing the fluid component of the functioning productive capital. The portion of fluid capital thus set free for production during the circulation time is related to the total fluid capital advanced as the circulation time is to the turnover period. As already noted, this applies only to branches of production in which the labour process is continued week in, week out on the same scale, and where the amounts of capital that have to be laid out do not vary between the different working periods, as in agriculture. If, however, we assume the reverse of this, namely that the nature of the investment excludes a reduction in the scale of production and hence also in the fluid capital to be advanced each week, then the continuity of production can be maintained only by an additional fluid capital, in the above case one of £300. During the turnover period of twelve weeks, £1,200 is successively advanced, of which £300 makes a quarter, as does three weeks out of twelve. After the working period of nine weeks, the capital value of £900 is transformed from the form of productive capital into that of commodity capital. Its working period is concluded, and this cannot immediately be repeated with the same capital. During the three weeks for which the capital exists in the circulation sphere, functioning as commodity capital, it is the same for the production process as if it did not exist at all. We are abstracting here from all credit relations and assume therefore that the capitalist operates only with his own capital. But while the capital advanced for the first working period spends three weeks in the circulation process after completing its production process, an additional capital outlay of £300 now functions, so that the continuity of production is not interrupted.
the exact ratio

So to make production continuous, the outlay of this same circulating capital gets spread over a longer stretch of time — 12 weeks instead of 9. At any given moment, then, a reduced productive capital is at work; the liquid part of the productive capital is cut from £100 to £75, a reduction of one quarter. The total amount by which the productive capital at work during the 9-week working period is reduced comes to 9 × £25 = £225, or one quarter of £900. And the ratio of the circulation time to the whole turnover period is likewise 3/12 = 1/4. So here is what follows: if production is not to be interrupted during the circulation time of the productive capital that has turned into commodity capital — if it is instead to continue, week after week, without a break — and if no separate circulating capital is provided for this, then the only way to achieve it is by cutting back the scale of production, that is, by shrinking the liquid part of the productive capital at work. The liquid part released from the original advance — a portion of the same £900, not newly earned money — that becomes available for use during the circulation time stands to the whole advanced liquid capital in the same ratio as the circulation time stands to the turnover period. This holds, as already noted, only for branches of production where the labour process is carried out week after week on the same scale — not for branches like agriculture, where different working periods require different sums of capital to be laid out.

M–A merges
route two: lay out more capital

Now assume the opposite: that the way the business is set up rules out shrinking the scale of production, and so also rules out shrinking the liquid capital that must be advanced each week. Then continuous production can only be achieved by means of additional liquid capital — in the example above, £300. Over the 12-week turnover period, £1,200 is advanced in stages, of which £300 is the fourth part, just as 3 weeks is the fourth part of 12. After the 9-week working period, the capital-value of £900 has been converted from the form of productive capital into the form of commodity capital. Its working period is finished, but it cannot be renewed with the same capital. During the three weeks it spends in the sphere of circulation, functioning as commodity capital, it is — as far as the production process is concerned — exactly as if it did not exist at all. We are leaving all credit relations out of account here, and therefore assuming that the capitalist operates only with his own capital. But while the capital advanced for the first working period spends three weeks in the circulation process once production is complete, an additional capital of £300 is laid out and put to work, so that the continuity of production is not interrupted.

The following must now be noted in this connection: Firstly, the working period of the capital of £900 originally advanced is ended after nine weeks, and yet the capital does not return for another three weeks, until the beginning of the thirteenth week. A new working period, however, is immediately opened with the additional capital of £300. This is precisely how the continuity of production is maintained. Secondly, the functions of the original capital of £900, and of the capital of £300 newly advanced at the close of the first nine-week working period, which opens the second working period without interruption on the close of the first, are completely separate in the first turnover period, or can at least be separated, whereas in the course of the second turnover period they cut across one another.
two points that follow

Now the following should be noted here:

M–A merges
first: continuity is restored

First: the working period of the £900 first advanced is finished after 9 weeks, and it does not flow back before 3 more weeks have passed — that is, not until the start of the 13th week. But a new working period opens again immediately, using the additional £300. This is exactly what establishes the continuity of production.

M–A merges
second: the two capitals cross

Second: the roles of the original £900 and of the £300 laid out as extra capital at the end of the first 9-week working period — the £300 that opens the second working period the moment the first ends, without a break — are cleanly separated during the first turnover period, or at least can be. But over the course of the second turnover period, the two capitals cross over each other.

We can represent the matter more clearly in the following way:
walking through the numbers

Let's picture the matter in concrete terms:

First turnover period of twelve weeks. First nine-week working period; the turnover of the capital advanced in this period is completed by the start of the thirteenth week. During the last three weeks the additional capital of £300 functions, opening the second nine-week working period.
period one, laid out

First turnover period, 12 weeks. First working period, 9 weeks; the turnover of the capital advanced here is completed at the start of the 13th week. During the last 3 weeks, the additional capital of £300 is at work, and it opens the second working period of 9 weeks.

Second turnover period. At the start of the thirteenth week, £900 has returned and is available to begin a new turnover. But the second working period has already opened in the tenth week with the additional £300; by the beginning of the thirteenth week, a third of this working period has been completed by means of this capital, and £300 has been transformed from productive capital into products. Since there are only six weeks more to go till the end of the second working period, only two thirds of the returned capital of £900, i.e. only £600, can enter the production process of the second working period. £300 of the original £900 is set free, to play the same role that the capital of £300 played in the first working period. At the end of the sixth week of the second turnover period, the second working period is concluded. The capital of £900 laid out on it flows back three weeks later, i . e. at the end of the ninth week of the second twelve-week turnover period. During the three weeks of its circulation time the capital of £300 that was set free enters the scene. This begins the third working period of a capital of £900 in the seventh week of the second turnover period, or the nineteenth week of the year.
300 pounds set free

Second turnover period. At the start of the 13th week, £900 has flowed back and is able to begin a new turnover. But the second working period was already opened in week 10 by the additional £300; by the start of the 13th week, a third of that working period is already finished, £300 having been converted from productive capital into product. Since only 6 more weeks are needed to finish the second working period, only two-thirds of the returned £900 — that is, only £600 — can go into the production process of the second working period. £300 of the original £900 is set free, to play the same role that the additional £300 played during the first working period. By the end of week 6 of the second turnover period, the second working period is complete. The £900 laid out in it flows back after 3 weeks — that is, at the end of week 9 of the second, twelve-week turnover period. During the 3 weeks of its circulation time, the £300 that was set free steps in. This is what starts the third working period of a £900 capital, in week 7 of the second turnover period, or week 19 of the year.

Third turnover period. The end of the ninth week of the second turnover period brought a new reflux of £900. But the third working period had already begun in the seventh week of this turnover period, and six weeks of this have already elapsed [by the start of the third turnover]. Thus it has only three more weeks to run. Of the £900 that returned, only £300 therefore goes into the production process. The fourth working period comprises the remaining nine weeks of this turnover period, and thus the fourth turnover period and the fifth working period begin together with the thirty-seventh week of the year.
period three, wrapping up

Third turnover period. At the end of week 9 of the second turnover period, £900 flows back again. But the third working period already began in week 7 of the previous turnover period, and 6 weeks of it have already gone by. So it only lasts 3 more weeks. Of the £900 that has just flowed back, only £300 goes into the production process. The fourth working period fills the remaining 9 weeks of this turnover period, so that the fourth turnover period and the fifth working period both begin together, in week 37 of the year.

Kap. 15
Two More Examples; the Turnover Number Conceals Circulation Time
Unit u129 established that release is possible in principle and coined "freigesetzt" in the abstract. This unit runs the arithmetic across three more examples to extract the general laws governing WHEN and HOW MUCH — laws the next three units (Cases I-III) apply systematically.
[Second example.] In order to simplify the example for purposes of calculation, we shall assume a working period of five weeks and a circulation time of five weeks, making a turnover period of ten weeks; fifty weeks to the year; and a capital outlay of £100 per week. Thus the working period requires a fluid capital of £500, and the circulation time of the additional capital a further £500. Working periods and turnover times can now be represented as follows:
setting up a second example

To make the calculation simple, suppose: a production period of 5 weeks, a circulation time of 5 weeks, so a turnover period of 10 weeks — counting the year as 50 weeks, with £100 advanced per week. The production period thus needs a fluid capital of £500, and the circulation time needs a further £500 of additional capital. Production periods and turnover periods then run as follows:

Working Period Weeks Commodities in £ Returning 1 1-5 500 end of week 10 2 6-10 500 " " " 15 3 11-15 500 " " " 20 4 16-20 500 " " " 25 5 21-25 500 " " " 30 etc.
Working Period Weeks Commodities in £ Returning 1 1-5 500 end of week 10 2 6-10 500 " " " 15 3 11-15 500 " " " 20 4 16-20 500 " " " 25 5 21-25 500 " " " 30 etc.
If the circulation time was zero, so that the turnover period was the same as the working period, the number of turnovers would simply equal the number of working periods in the year, hence with a five-week working period, 50÷5 = 10; the value of the capital turned over would be 500 x 10 = £5,000. In the above table, where a circulation time of five weeks is assumed, a value of £5,000 in commodities is still produced each year, but one tenth of this, i.e. £500, is always in the shape of commodity capital, and returns only after five weeks' delay. At the end of the year, therefore, the product of the tenth working period (weeks 46-50) has only completed half its turnover time, since its circulation time falls into the first five weeks of the ensuing year.
circulation zero, for comparison

If the circulation time is zero, the turnover period is simply the production period, so the number of turnovers in a year equals the number of production periods in a year. With a five-week production period, that is 50 divided by 5, or 10, and the value of the capital turned over would be 500 times 10, that is, £5,000. In the table above, where the circulation time is taken as 5 weeks, the same £5,000 worth of goods gets produced each year — but one-tenth of it, £500, is always sitting in the form of commodity-capital, and only flows back after 5 weeks. So by the end of the year, the output of the tenth production period (weeks 46 to 50) has completed only half its turnover time, because its circulation time falls into the first 5 weeks of the next year.

[Third example.] We now take a third example: working period six weeks, circulation time three weeks, weekly advance for the labour process £100.
a third example

Let's take a third example: a production period of 6 weeks, a circulation time of 3 weeks, and £100 advanced each week in the production process.

First working period: weeks 1-6. At the end of the sixth week a commodity capital of £600, returning at the end of week 9.
period one

First production period: weeks 1 to 6. By the end of week 6 there is a commodity-capital of £600, which flows back at the end of week 9.

Second working period: weeks 7-12. £300 additional capital advanced during weeks 7-9. A return of £600 at the end of week 9. £300 of this advanced in weeks 10-12, so that £300 is free at the end of week 12, and £600 present in commodity capital, returning at the end of week 15.
period two

Second production period: weeks 7 to 12. During weeks 7 to 9, £300 of additional capital is advanced. At the end of week 9, £600 flows back. Of that, £300 is advanced for weeks 10 to 12; so by the end of week 12, £300 is free in liquid form, £600 sits in commodity-capital, and it flows back at the end of week 15.

Third working period: weeks 13-18. Advance of the above £300 in weeks 13-15, then return of £600, of which £300 is advanced for weeks 16-18. At the end of week 18, £300 is free in money; £600 is present in commodity capital, and returns at the end of week 21. (For a more detailed presentation of this case see heading 2 below.)
period three, and a forward look

Third production period: weeks 13 to 18. In weeks 13 to 15, the £300 just freed is advanced; then £600 flows back, of which £300 is advanced for weeks 16 to 18. By the end of week 18, £300 is free as money; £600 sits in commodity-capital, flowing back at the end of week 21. (A fuller account of this case follows further on, as Case II.)

600×9 = £5,400 worth of commodities are thus produced in nine working periods (= 54 weeks). At the end of the ninth working period, the capitalist has £300 in money, and £600 in commodities which have not yet completed their circulation time.
nine periods, totalled

So over 9 production periods (54 weeks), £600 times 9, or £5,400 worth of goods, gets produced. By the end of the ninth production period, the capitalist holds £300 in money and £600 in goods that have not yet finished their circulation time.

When we compare these three examples, we find, firstly, that only in the second example do capital I of £500 and additional capital II, also £500, successively replace one another, so that the two portions of capital perform their movements separately, and this is simply because the assumption is made that the case is the highly exceptional one in which the working period and the circulation time form two equal halves of the turnover period. In all other cases, no matter what the discrepancy between the two sections of the turnover period may be, the movements of the two capitals intersect, as in the first and third examples, right from the second turnover period onwards. The capital functioning in the second turnover period is then formed by the additional capital I I together with a part of capital I, while the remainder of capital I is set free for the original function of capital II. The capital active during the circulation time of the commodity capital is no longer identical with the capital II originally advanced for this purpose, but it is equal to it in value and forms the same aliquot part of the total capital advanced.
finding one: the two capitals cross

Comparing the three examples, we find, first, that only in the second one do capital I (£500) and additional capital II (also £500) take turns cleanly, moving as two separate blocks. That happens only because this example makes the quite exceptional assumption that the production period and the circulation time are two equal halves of the turnover period. In every other case — whatever the imbalance between the two parts of the turnover period — the movements of the two capitals cross over each other, as in examples I and III, starting from the second turnover period on. Additional capital II then joins with part of capital I to form the capital at work in the second turnover period, while the rest of capital I is freed up for the job capital II was originally advanced for. The capital active during the commodity-capital's circulation time is, at this point, not literally the same capital II originally advanced for that purpose — but it equals it in value and makes up the same fraction of the total capital advanced.

Secondly, the capital which has functioned during the working period lies idle during the circulation time. In the second example, the capital functions for a working period of five weeks and is idle for a circulation period of five weeks. Thus the overall time during which capital I is idle amounts to half of every year. However, the additional capital required to maintain the continuity of production during the circulation time is not determined by the total sum of circulation time within the year, but simply by the ratio of circulation time to turnover period. (We assume here of course that all the turnovers take place under the same conditions.) Hence it is an additional capital of £500 that is needed in the second example, and not one of £2,500. This simply follows from the fact that the additional capital enters the turnover just as much as that originally advanced, and so is replaced after a number of turnovers just as the former was.
finding two: the true ratio

Second: the capital that has been at work during the production period lies idle during the circulation time. In the second example, the capital works for the 5-week production period and lies idle for the 5-week circulation time. Added up over the year, that comes to half a year that capital I spends idle. Additional capital II steps in to cover that idle stretch — and so it, too, in this case, lies idle for half a year. But the additional capital needed to keep production continuous through the circulation time is not fixed by the total amount of circulation time added up across the year. It is fixed only by the ratio of the circulation time to the turnover period. (This assumes, of course, that every turnover happens under the same conditions.) That is why example II needs £500 of additional capital, not £2,500. The reason is simple: the additional capital enters into the turnover just as the original capital does, and so, exactly like the original capital, it replaces its own bulk through the number of times it turns over.

Thirdly, it in no way alters the circumstances considered here if the production time is longer than the working time. The total turnover period is certainly extended by this factor, but this extended turnover does not require any additional capital for the labour process. The additional capital simply has the job of filling up the gaps in the labour process that are due to the circulation time, and so it has to protect production only from disturbances that arise as a result of this circulation time; disturbances that arise from the specific conditions of production are taken care of in another way, which is not under consideration here. There are however businesses where work is done only spasmodically, to order, and in which there can be interruptions between the working periods for this reason. In such cases the need for additional capital is proportionately reduced. In most types of seasonal work, moreover, there is also a certain limit for the reflux. The same work cannot be repeated the next year with the same capital, if this capital has not meanwhile completed its circulation time. The circulation time may however be less than the interval between one production period and the next. In this case the capital lies idle unless it is applied in the meantime in another manner.
finding three: not about production time

Third: whether the production time is longer than the labour time makes no difference to what we have been looking at here. That does lengthen the turnover periods overall, but this lengthened turnover calls for no additional capital for the labour process itself. The additional capital exists for one purpose only: to fill the gaps torn in the labour process by the circulation time. Its job is to shield production from disruptions that come from the circulation time — disruptions that come from production's own conditions have to be dealt with in some other way, one we are not considering here. There are, on the other hand, businesses that work only in bursts, on order, so that gaps can open up between one production period and the next. In such businesses, the need for additional capital falls away, to that extent. On the other hand, in most cases of seasonal work there is also some limit on how long the return can take. The same work cannot be started again next year with the same capital if that capital's circulation time has not run its course by then. But the circulation time can also be shorter than the gap between one production period and the next. In that case the capital lies idle, unless it is put to some other use in the meantime.

Fourthly, the capital advanced for one working period, e.g. the £600 in the third example, is laid out partly on raw and ancillary materials, i.e. in a productive stock for the working period, in constant circulating capital, and partly in variable circulating capital, in payment for labour itself. Not all of that part of the capital laid out on constant circulating capital need exist for the same length of time in the form of productive stock; e. g. raw material may not be stored for the whole working period, or coal may be procured every two weeks. None the less, if we again exclude credit here, this part of the capital, in so far as it is not present in the form of a productive stock, must still remain available in the money form, in order to be transformed into productive stock according to need. This in no way alters the value of the constant circulating capital advanced for six weeks. Wages, on the other hand - quite apart from the money for unforeseen expenses, the specific reserve fund to cope with disturbances - are paid at shorter intervals, mostly weekly. So except where the capitalist forces the worker to make particularly long advances of his labour, the capital needed for wages must be present in the money form. When capital returns, therefore, one part must be kept in the form of money for payment of labour, while another part can be transformed into productive stock.
the wage exception

The capital advanced for one production period — the £600 in example III, say — is laid out partly in raw and auxiliary materials, as a productive stock for the production period, that is, as constant circulating capital, and partly as variable circulating capital, in payment for labour itself. The part laid out as constant circulating capital need not sit as productive stock for the same stretch of time throughout — the raw material, for instance, might not lie there for the whole production period, and coal might only be brought in every two weeks. Still, since credit is ruled out here, whatever part of this capital is not available in the form of productive stock has to remain available in money form, ready to be converted into productive stock as needed. This changes nothing about the size of the constant circulating capital-value advanced for the 6 weeks. Wages, though — leaving aside the money reserve for unforeseen expenses, the actual reserve fund for smoothing out disruptions — are paid out over shorter periods.

M–A merges
wages stay in money form

Wages are usually paid weekly. So unless the capitalist forces the worker to extend credit on their own labour, the capital needed for wages has to be on hand in money form. This means that when the capital flows back, part of it has to be kept in money form to pay for labour, while the rest can be converted into productive stock.

The additional capital is divided up just like the original capital. But what distinguishes it from capital I is that it must already be advanced for the entire duration of the first working period of capital I, which it is not involved in, in order to be available for its own working period (this is again abstracting from credit relations). During this time it can be at least partially transformed already into constant circulating capital. The extent to which it assumes this last form, or else persists in the form of additional money capital until the time that this transformation is necessary, will depend partly on the particular production conditions of the specific lines of business involved, partly on local circumstances, and partly on fluctuations in the price of raw materials, etc. If we consider the total social capital, then a more or less significant part of this additional capital exists for a prolonged time in the state of money capital. As far as the part of capital I I advanced for wages is concerned, however, it is only gradually transformed into labour-power, in as much as the working periods that elapse and are paid for are relatively short. This part of capital II is thus present in the form of money capital for the whole duration of the working period, until it is transformed into labour-power and thus embarks on the function of productive capital.
how the extra capital sits

Additional capital II splits up into the same parts as the original capital. But what sets it apart from capital I is this: leaving credit relations aside, in order to be ready for its own production period, it has to be advanced already during the whole of capital I's first production period — a period it plays no part in. During that time, at least part of it can already be converted into constant circulating capital, advanced for the whole turnover period. How far it takes that form, or how far it stays as additional money-capital until the moment conversion becomes necessary, depends partly on the particular production conditions of the branch of business, partly on local circumstances, partly on price swings in raw materials, and so on. Looking at the total social capital, some more or less sizeable part of this additional capital will always sit in the state of money-capital for a longer stretch of time. The part of capital II earmarked for wages, though, is different: it only gets converted into labour-power gradually, as each shorter production period runs its course and gets paid. So this part of capital II exists in money-capital form for the entire length of the production period, until it is converted into labour-power and enters into the function of productive capital.

This intervention of the additional capital required for the conversion of capital I's circulation time into production time thus not only increases the size of the capital advanced and the length of time for which the total capital has to be advanced, but it also specifically increases that part of the capital advanced that exists as a money reserve, i.e. exists in the state of money capital and possesses the form of potential money capital.
the money reserve grows

So the arrival of this additional capital — needed to turn capital I's circulation time into production time — does more than just increase the size of the capital advanced and the length of time for which the total capital necessarily has to be advanced. It specifically increases the part of the advanced capital that exists as a money reserve — that is, the part sitting in the state of money-capital, in the form of potential money-capital.

The same thing occurs (as concerns both an advance of capital in the form of productive stock and that in the form of a money reserve) if the division of the capital into two parts that is required by the circulation time - capital for the first working period and replacement capital for the circulation time - is brought about not by an increase in the capital laid out, but instead by a reduction in the scale of production. In relation to the scale of production, the capital confined to the money form increases here still further.
or: shrink the scale instead

The same thing happens — both for the part advanced as productive stock and for the part advanced as a money reserve — when the split that the circulation time forces on the capital, into capital for the first production period and replacement capital for the circulation time, comes about not by enlarging the capital laid out, but by shrinking the scale of production instead. Relative to the scale of production, the growth in the capital locked up in money form is, if anything, even greater on this route.

What is always attained by this division of the capital into original productive capital and additional capital is the uninterrupted succession of working periods, the steady functioning of an equal-sized part of the capital advanced as productive capital.
what the split achieves

What this whole splitting of the capital into an originally productive part and an additional part achieves is simply the unbroken succession of production periods — the constant functioning, as productive capital, of an equally sized part of the capital advanced.

Let us consider the second example. The capital existing in the production process at any one time is £500. Since the working period is five weeks, this capital operates ten times in every fifty weeks (taken as a year). If we disregard surplus-value, the product therefore amounts to 10 x 500 = £5,000. From the standpoint of the capital functioning directly and uninterruptedly in the production process - a capital value of £500 - the circulation time thus appears to have disappeared completely. The turnover period coincides with the working period; the circulation time is assumed to be zero.
from this angle, circulation vanishes

Let's look at example II. The capital constantly at work in the production process is £500. Since the production period is 5 weeks, it works ten times over during the 50 weeks we are counting as a year. So the output, setting surplus-value aside, comes to 10 times 500, or £5,000. From the standpoint of the capital directly and continuously at work in the production process — a capital-value of £500 — the circulation time appears to have vanished completely. The turnover period appears to coincide with the production period; the circulation time appears to be set at zero.

But if the capital of £500 were to be regularly inhibited in its productive activity by the circulation time of five weeks, so as to be only ready for production once again after completing the entire turnover period of ten weeks, we should have, in the fifty-week year, five ten-week turnovers; these would include five five-week production periods, i.e. a total of twenty-five weeks' production with a total product of 5 x 500 = £2,500; and five five-week circulation times, i.e. a total circulation time of also twenty-five weeks. If we say in this case that the capital of £500 has turned over five times in the year, then it is perfectly clear that for half of each turnover period this capital of £500 has not functioned as productive capital at all, and that, all things considered, it has functioned only for half the year, and not during the other half.
the honest version: half idle

But suppose instead that this £500 capital were regularly held back in its productive activity by the 5-week circulation time, so that it could only become fit for production again once the whole 10-week turnover period was over. Then in the 50 weeks of the year we would have 5 turnovers of ten weeks each — made up of 5 production periods of 5 weeks, so 25 production-weeks in all, with a total output of 5 times 500, or £2,500; and 5 circulation times of 5 weeks, so a total circulation time likewise of 25 weeks. If we now say that the £500 capital turned over five times in the year, it is plain and clear that for half of every turnover period, this £500 capital did not function as productive capital at all — and that, added up, it functioned for only half the year, and not at all during the other half.

In our example, the replacement capital of £500 enters the scene for the duration of these five circulation times, and in this way the turnover is raised from £2,500 to £5,000. But the capital advanced is now £1,000 instead of £500. 5,000 divided by 1,000 is 5. Thus instead of ten turnovers we have five. But because it is then said that the capital of £1,000 has turned over five times in the year, the memory of the circulation time vanishes from the empty heads of the capitalists, and the confused idea is formed that this capital has functioned constantly in the production process throughout the five successive turnovers. However, when we say that the capital of £1,000 has turned over five times, we include in this the circulation time as well as the production time. In fact, if £1,000 really had been continuously active in the production process, then the product would have been £10,000, on the basis of our assumptions, instead of £5,000. And in order to have £1,000 continuously in the production process, a capital of £2,000 would have had to be advanced. The economists, who have never produced a clear account of the turnover mechanism, constantly overlook this basic aspect, i.e. the fact that only a part of the industrial capital can be actually engaged in the production process, if production is to proceed without interruption. In other words, one part can function as productive capital only on condition that another part is withdrawn from production proper in theform of commodity or money capital. Since this is overlooked, so also is the importance and role of money capital in general.
the illusion economists fall for

In our example, the £500 replacement capital steps in for the duration of these five circulation times, and that raises the turnover from £2,500 to £5,000. But the capital advanced is now £1,000 instead of £500. £5,000 divided by £1,000 is 5. So five turnovers instead of ten — and this is in fact how it gets calculated. But once people start saying that the £1,000 capital "turned over five times in the year," the memory of the circulation time vanishes from the capitalists' hollow skulls, and a confused idea takes hold — as if this capital had been constantly at work in the production process throughout those five successive turnovers. Yet if we say this £1,000 capital turned over five times, that figure includes both circulation time and production time. If £1,000 really had been continuously at work in the production process, the output, on our assumptions, would have to be £10,000, not £5,000. And to keep £1,000 continuously at work in production, a full £2,000 would have to be advanced in the first place. The economists — among whom nothing clear about the mechanism of turnover is to be found at all — constantly overlook this key point: that only part of industrial capital can ever actually be engaged in the production process at any moment, if production is to proceed without interruption. While one part is in its production period, some other part always has to be in its circulation period. Put differently, one part can function as productive capital only on condition that another part, in the form of commodity-capital or money-capital, stays withdrawn from actual production. And by overlooking this, they overlook the significance and role of money-capital altogether.

Kap. 15
Case I: Working Period Equal to Circulation Period
Unit u130 closed on the danger of a turnover count that hides circulation time. This unit opens the chapter's first controlled case and shows exactly how careful the counting has to be — first for one business's two capitals, then for the whole social capital.
What we now have to investigate is the difference in the turnover that arises according to whether the two sections of the turnover period - working period and circulation period - are equal, or whether the working period is longer or shorter than the circulation period; further, how this affects the tying-up of capital in the form of money capital.
the question: equal, longer, or shorter

Now we need to look at what difference shows up in turnover depending on whether the two parts of the turnover period — the working period and the circulation period — are equal to each other, or the working period is longer or shorter than the circulation period. And further, how this affects the amount of capital tied up in the form of money-capital.

We assume here that the capital advanced each week is in all cases £100, and the turnover period nine weeks, so that the capital that has to be advanced for eachturnover period is £900.
the numbers: £100 a week, a 9-week period

We assume that in every case the capital to be advanced each week is £100, and the turnover period is 9 weeks — so the capital to be advanced for each turnover period is £900.

I. WORKING PERIOD AND CIRCULATION PERIOD EQUAL
This case, though in reality it is only a chance exception, must serve as the starting-point for the discussion, since it is here that conditions are present in their simplest and most palpableform.
why start with this exact case

This case, although in reality only an accidental exception, has to serve as our starting point, because here the relations show themselves in the simplest and most tangible way.

The two capitals (capital I, which is advanced for the first working period, and additional capital I I, which functions during the circulation period of capital I) relieve one another in their movements without crossing each other's path. With the exception of the first period, therefore, each of the two capitals is advanced only for its own turnover period. Ifthe turnover period is nine weeks, as in the following examples, then the working period and circulation period are accordingly both four and a half weeks. We then have the following schema for a complete year [Table I].
two capitals, alternating without overlap

The two capitals — Capital I, advanced for the first working period, and additional Capital II, which does its work during Capital I's circulation period — take turns in their movements without ever crossing each other. So, apart from the very first period, each of the two capitals is only ever advanced for its own turnover period. Let the turnover period be, as in the examples that follow, 9 weeks, so the working period and the circulation period are each 4 1/2 weeks. Then we get the following scheme for the year:

TABLE I
Capital I
Turnover Period (weeks) Working Period (weeks) Advance in £ Circulation Period (weeks)
I 1-9 1-first half week 5 450 second half week 5-9
II 10-18 10-first half week 14 450 second half week 14-18
III 19-27 19-first half week 23 450 second half week 23-27
IV 28-36 28-first half week 32 450 second half week 32-36
V 37-45 37-first half week 41 450 second half week 41-45
VI 46-(54) 46-first half week 50 450 second half week 50-(54)
Capital II
Turnover Period (weeks) Working Period (weeks) Advance in £ Circulation Period (weeks)
I second half week 5-14 second half week 5-9 450 10-first half week 14
II 14-23 14-18 450 19-first half week 23
III 23-32 23-27 450 28-first half week 32
IV 32-41 32-36 450 37-first half week 41
V 41-50 41-45 450 46-first half week 50
VI 50-(59) 50-(54) 450 55-(first half week 59)
TABLE I
Capital I
Turnover Period (weeks) Working Period (weeks) Advance in £ Circulation Period (weeks)
I 1-9 1-first half week 5 450 second half week 5-9
II 10-18 10-first half week 14 450 second half week 14-18
III 19-27 19-first half week 23 450 second half week 23-27
IV 28-36 28-first half week 32 450 second half week 32-36
V 37-45 37-first half week 41 450 second half week 41-45
VI 46-(54) 46-first half week 50 450 second half week 50-(54)
Capital II
Turnover Period (weeks) Working Period (weeks) Advance in £ Circulation Period (weeks)
I second half week 5-14 second half week 5-9 450 10-first half week 14
II 14-23 14-18 450 19-first half week 23
III 23-32 23-27 450 28-first half week 32
IV 32-41 32-36 450 37-first half week 41
V 41-50 41-45 450 46-first half week 50
VI 50-(59) 50-(54) 450 55-(first half week 59)
In the fifty-one weeks that we take here as the year, capital I has concluded six full working periods, and thus produced commodities to the value of 6 × 450 = £2,700; capital II has produced commodities for five full working periods, 5 × 450 = £2,250. Capital I I has also produced a further £150 in the final one and a half weeks of the year (midweek 50 to end of week 51) - a total product of £5,100 in fifty-one weeks. As far as the direct production of surplus-value is concerned, and this is produced only during the working period itself, the total capital of £900 has turned over 5⅔ times (5⅔×900 = 5,100). But if we consider the real turnover, then capital I has turned over 5⅔ times, since at the end of week 51 it has only three weeks of its sixth turnover period still to complete: 5⅔×450 = £2,550; while capital II has turned over 5⅙ times, since it has only completed one and a half weeks of its sixth turnover period, and a further seven and a half weeks of this fall in the coming year: 5⅙×450 = £2,325; real amount turned over = £4,875.
Capital I's output: six periods

Within the 51 weeks that we are counting here as the year, Capital I has completed six full working periods, producing, for 6 ×

M–A merges
Capital II's output: five periods

£450 = £2,700; and Capital II, in five full working periods, for 5 ×

M–A merges
actual turnover: 5 2/3 and 5 1/6

£450 = £2,250 worth of goods. On top of that, Capital II produced a further £150 worth in the last 1 1/2 weeks of the year (from the middle of week 50 to the end of week 51) — total product over the 51 weeks: £5,100. If we look only at the direct production of surplus-value, which happens only during the working period, the total capital of £900 would then have turned over five whole times plus two-thirds of a sixth period (5 2/3 × 900 = £5,100). But if we look at the actual turnover, Capital I has turned over five whole times plus two-thirds of its sixth turnover period, since at the end of week 51 it still has 3 weeks of its sixth turnover period left to run; 5 2/3 × 450 = £2,550. And Capital II has turned over five whole times plus one-sixth of its sixth turnover period, since it has completed only 1 1/2 weeks of that sixth period, leaving 7 1/2 weeks of it falling into the next year; 5 1/6 × 450 = £2,325. The actual total turnover is £4,875.

We may treat capital I and capital II as two quite independent capitals. In their movements they are completely autonomous; these movements are complementary only in so far as their working and circulation periods directly relieve one another. They can be considered as two completely independent capitals, belonging to different capitalists.
picture them as two separate capitalists

Let us consider Capital I and Capital II as two capitals entirely independent of each other. In their movements they really are entirely independent; these movements only complement each other because their working periods and circulation periods directly relieve one another in turn. They can be treated as two wholly independent capitals, belonging to two different capitalists.

Capital I has gone through five complete turnover periods and two thirds of its sixth. It exists at the end of the year in the form of commodity capital, requiring a further three weeks for its normal realization. It functions as commodity capital and circulates. As far as its last turnover goes, it has completed only two thirds of it. This is expressed by saying that it has turned over only two thirds of a time; only two thirds of its total value has turned over completely. We say that £450 completes its turnover in nine weeks, and therefore £300 does so in six weeks. By expressing it in this way, we leave aside the organic relations between the two specific and different components of the turnover time, since the exact sense of the statement that the capital of £450 advanced has made 5⅔ turnovers is simply that it has made five turnovers and only completed two thirds of its sixth. Nevertheless, the expression that the capital turned over is 5⅔ the capital advanced, thus in the above case 5⅔×450 = £2,550, is correct in the sense that, if this capital of £450 were not supplemented by another capital of £450, then one part of it would have to exist in the production process, and another part in the circulation process. If the turnover time is to be expressed in terms of the quantity of capital turned over, it can only ever be expressed in a quantity of existing value (in fact, of finished products). The circumstance that the capital advanced does not exist in a state in which it can reopen the production process once again is expressed in the form that only one part of it exists in a state suitable for production, or that, in order to exist in a state of continuous production, the capital must always be divided into one part that is in the production period and another part in the circulation period, according to the ratio between these two periods. This is the same law as that which determines the mass of productive capital functioning at one time by the ratio of circulation time to turnover time.
what '5 2/3 turnovers' actually means

Capital I has completed five whole turnover periods, plus two-thirds of its sixth. At the end of the year it is sitting there in the form of commodity-capital, and it still needs 3 more weeks before it can be normally realized. During that time it cannot re-enter the production process. It is functioning as commodity-capital: it is circulating. Of its last, sixth turnover period, it has covered only two-thirds. This is put by saying it has turned over only 2/3 of a time — that only 2/3 of its total value has completed a full turnover. We say: £450 completes its turnover in 9 weeks, so £300 completes a turnover in 6 weeks. But this way of putting it glosses over the organic relation between the two specifically different parts that make up turnover time. The exact meaning of saying that the advanced capital of £450 has made 5 2/3 turnovers is only this: it has completed five turnovers in full, and of the sixth, only two-thirds. By contrast, the statement that the turned-over capital equals 5 2/3 times the advanced capital — in the case above, 5 2/3 × £450 = £2,550 — is correct in a different sense: it captures that if this £450 were not backed up by another £450, part of it would indeed have to be sitting in the production process while another part sat in the circulation process at the same time. If turnover time is to be expressed as a mass of turned-over capital, it can only ever be expressed as a mass of value that already exists — in fact, of finished product. The fact that the advanced capital is not in a state where it can open a new round of production by itself shows up in this: only part of it is fit to produce, or else, to keep production continuous, the capital would have to be split — one part permanently sitting in the production period, the other permanently in the circulation period, in whatever ratio those two periods stand to each other. It is the very same law that fixes the mass of productive capital that is constantly at work, by the ratio of circulation time to turnover time.

Of capital II, at the end of week 51, which we take here as the close of the year, £150 is advanced in the production of unfinished products. A further part exists in the form of fluid constant capital - raw material, etc. - i.e. in a form in which it can function as productive capital in the production process. But a third part exists in the money form, a quantity at least as great as the amount of wages for the remainder of the working period (three weeks), which are paid only at the end of each week. Even though this part of the capital does not exist in the form of productive capital at the beginning of the new year, i.e. of a new turnover cycle, but rather in the form of money capital in which it is incapable of entering the production process, the new turnover nevertheless opens with fluid variable capital, i.e. living labour-power, active in the production process. This phenomenon comes about because although labour-power is bought and used at the beginning of the working period, say weekly, it is paid for only at the end of the week. Here money functions as means of payment. It therefore exists on the one hand as money still in the hands of the capitalist, while on the other hand labour-power, the commodity into which it is converted is already active in the production process, and thus the same capital value here appears two-fold. If we consider simply the working periods, then Capital I has produced 6×450 = £2,700 " II " " 5⅓×450 = £2,400
the same value, appearing twice

Of Capital II, by the end of week 51 — which we are treating here as the close of the year — £150 has been advanced into producing unfinished product. A further part is sitting in the form of fluid constant capital — raw materials and the like — that is, in a form in which it can function as productive capital in the production process. But a third part is sitting in money form: at least the amount of wages for the rest of the working period (3 weeks), which, however, is only paid at the end of each week. Now even though this part of the capital, at the start of the new year — a new turnover cycle — is not in the form of productive capital but of money-capital, and in that form cannot enter the production process, all the same, when the new turnover opens, fluid variable capital — that is, living labour-power — is already at work in the production process. This happens because labour-power is bought and used up at the start of the working period, say by the week, but is only paid for at the end of the week. Here money functions as means of payment. So on one side the money is still sitting in the capitalist's hand, while on the other side the labour-power — the commodity it is to be exchanged for — is already at work in the production process. The very same capital-value thus appears here twice at once.

i.e. together 5⅔×900 = £5,100
totals, counting only working periods

If we look only at the working periods, Capital I has produced 6 × £450 = £2,700. Capital II has produced 5 1/3 × £450 = £2,400. Together, that comes to 5 2/3 × £900 = £5,100.

The money capital of £900 advanced has thus functioned as productive capital 5⅔ times in the year. As far as the production of surplus-value is concerned, it is all the same whether £450 in the production process always functions alternately with £450 in the circulation process, or whether £900 functions for four and a half weeks in the circulation process.
either way, the same surplus-value

So the total advanced capital of £900 has functioned as productive capital 5 2/3 times over the year. Whether it is always £450 in the production process and £450 in the circulation process, alternating, or whether it is the full £900 in the production process for 4 1/2 weeks and then in the circulation process for the following 4 1/2 weeks — for the production of surplus-value, it comes to exactly the same thing.

If we consider the turnover periods, on the other hand, then
Capital I has turned over 5⅔ × 450 = £2,550
" II " " " 5⅙ × 450 = £2,325
i.e. the total capital turned over is 5-5/12×900 = £4,875
This is because the turnover of the total capital is equal to the amounts of capitals I and II turned over, divided by the sum of capitals I and II.
the total's turnover: sum over sum

If instead we look at the turnover periods, Capital I has turned over 5 2/3 × £450 = £2,550, and Capital II has turned over 5 1/6 × £450 = £2,325 — so the total capital has turned over 5 5/12 × £900 = £4,875. That is because the turnover figure for the total capital is the sum of what I and II each actually turned over, divided by the sum of what I and II were each advanced.

It should be noted here that capitals I and II, if they really were independent of one another, would still only form different independent parts of the social capital advanced in the same branch of production. If the social capital in this branch of production consisted only of I and I I, the same calculation would hold for the turnover of the social capital in this branch as holds here for the two components I and I I of the same private capital. Any portion of the total social capital in a particular branch of production can be calculated in this way by extension. Finally, the number of turnovers of the total social capital equals the sum of the capital turned over in the various branches of production, divided by the sum ofthe capital advanced in these branches.
the same logic, at the social level

It is worth noting that Capital I and Capital II, even if they stood independent of each other, would still only be different independent parts of the social capital advanced in the same

M–A merges
extending it to all of social capital

sphere of production. So if the social capital in this sphere consisted of nothing but I and II, then the very same calculation that applies here to the two parts, I and II, of one private capital would hold for the turnover of the social capital in that sphere. Carried further, every part of the total social capital invested in a particular sphere of production can be worked out the same way. And in the end, the turnover figure for the entire social capital equals the sum of the capital turned over across the various spheres of production, divided by the sum of the capital advanced across those spheres of production.

It should further be noted that, just as here, in the same private business, the two capitals I and II have, in the strict sense, different turnover years (in as much as the turnover cycle of capital II begins four and a half weeks later than that of capital I, and I's year therefore comes to a close four and a half weeks earlier than that of II), so too the various private capitals in the same branch of production begin business at quite different points in time and hence complete their annual turnover at different times of the year. The same average calculation that we applied above to I and II also serves here to reduce the turnover years of the various independent parts of the social capital to a uniform turnover year.
different businesses, one turnover year

It is also worth noting: just as, within this one private business, Capital I and Capital II strictly speaking have different turnover years — since Capital II's turnover cycle starts 4 1/2 weeks later than Capital I's, so Capital I's year runs out 4 1/2 weeks earlier than Capital II's — so too the different private capitals within the same sphere of production start their businesses at quite different points in time, and so complete their year's turnover at different times of year as well. The same averaging calculation we used above for I and II is enough here too, to reduce the turnover years of the various independent parts of the social capital to one unified turnover year.

Kap. 15
Case II: Working Period Longer Than Circulation Period
Unit u131's Case I handed capitals off cleanly, one waiting while the other worked. Case II shows that as soon as the working period runs longer than the circulation period, the tidy relief picture breaks down — the capitals interlock, and release, only sketched as a possibility before, becomes the mechanism the rest of the chapter has to reckon with.
2. WORKING PERIOD LONGER THAN CIRCULATION PERIOD
In this case the working and turnover periods of capitals I and II cut across one another, instead of following on from each other. We also find capital set free, which was not the position in the case considered previously.
capitals cross; capital gets released

This time, the working periods and turnover periods of capital I and capital II cross each other instead of neatly following one after another. And here, unlike the case we just worked through, some capital gets released and freed up along the way.

This is in no way altered by the fact that now, as previously, (1) the number of working periods of the total capital advanced is equal to the value of the annual product of the two parts of the capital advanced, divided by the total capital advanced, and (2) the number of turnovers of the total capital is equal to the sum of the two amounts turned over, divided by the sum of the two capitals advanced. Here, too, we must consider the two portions of capital as if they performed their turnover movements in complete independence of one another.
same two formulas still hold

Even so, two things still hold exactly as before. First, the number of working periods that the whole advanced capital goes through equals the value of the year's output from both capital parts, divided by the whole advanced capital. Second, the turnover number of the whole capital equals the sum of the two turned-over amounts, divided by the sum of the two advanced capitals. Here too, we have to treat the two parts of capital as though each turned over completely independently of the other.

We assume once again that £100 has to be advanced each week in the labour process. The working period lasts for six weeks, and therefore requires an advance of £600 (capital I). The circulation period is three weeks, and so the turnover period, as above, is nine weeks. A capital II of £300 enters the scene during the three-week circulation period of capital I. If we consider the two as independent capitals, then the annual turnover presents itself according to the following schema [Table I I].
setting up the numbers

Let's assume again that £100 has to be advanced every week to keep production running. The working period lasts 6 weeks, so it needs £600 of advance each time — this is capital I. The circulation period lasts 3 weeks, so the whole turnover period, as before, is 9 weeks. A capital II of £300 steps in during that three-week circulation period of capital I. If we treat the two as independent of one another, the table for the year's turnover looks like this:

The production process proceeds uninterruptedly on the same scale throughout the whole year. Here we have kept the two capitals I and I I completely separate. But in order to present them separately in this way, we have had to cut through their actual intersections and entanglements. According to the above table, for instance, the amounts turned over would be:
TABLE II
Capital I, £600
Turnover Period (weeks) Working Period (weeks) Advance in £ Circulation Period (weeks)
I 1-9 1-6 600 7-9
II 10-18 10-15 600 16-18
III 19-27 19-24 600 25-27
IV 28-36 28-33 600 34-36
V 37-45 37-42 600 43-45
VI 46-(54) 46-51 600 (52-54)
Additional Capital II, £300
Turnover Period (weeks) Working Period (weeks) Advance in £ Circulation Period (weeks)
I 7-15 7-9 300 10-15
II 16-24 16-18 300 19-24
III 25-33 25-27 300 28-33
IV 34-42 34-36 300 37-42
V 43-51 43-45 300 46-51
capital I 5⅔×600 = £3,400
capital II 5×300 = £1,500
for the total capital, 5-4/9×900 = £4,900
the tidy picture — and its cost

The production process runs without a break all year, at the same scale throughout. In this picture, capital I and capital II stay completely separate from each other. But to show them as separate like this, we had to tear apart the real crossings and interminglings between them — and that changes the turnover number too. According to the table above, capital I turns over 5 2/3 × £600 = £3,400, and capital II turns over 5 × £300 = £1,500, so the whole capital turns over 5 4/9 × £900 = £4,900.

This is not correct, however, since, as we shall see, the actual production and circulation periods do not entirely coincide with those in the above table, in which the important thing was to exhibit the two capitals I and II in complete independence from one another.
why the tidy picture is wrong

But this isn't right, because, as we'll see, the real production and circulation periods don't fully match those of the table above — a table whose whole point was to make capital I and capital II look independent of each other.

In reality, for instance, capital II does not have working and circulation periods separate from those of capital I. The working period is six weeks, the circulation period three weeks. Since capital II is only £300, it can serve for only part of a working period. This is in fact the case. At the end of week 6, a product to the value of £600 steps out into circulation, and at the end of week 9 this value returns in money. Capital II thus moves into action at the beginning of week 7, and covers the needs of the next working period for weeks 7-9. According to our assumption, however, the working period is only half finished by the end of week 9. The capital I of £600 that has just returned therefore moves into action once more, and £300 of it meets the advance needed for weeks 10-12. The second working period is thus taken care of. A product to the value of £600 is in circulation and will return at the end of week 15; on top of this, however, £300, the amount of the original capital I I, is set free and can function in the first half of the following working period, i.e. weeks 13-15. After this has elapsed, the £600 then returns once again; £300 of it suffices until the close of the working period, while £300 remains free for the following period.
where the £300 gets freed

In reality, capital II doesn't have its own working period and circulation period separate from capital I's. The working period is 6 weeks, the circulation period 3 weeks. Since capital II only amounts to £300, it can only cover part of a working period — and that is exactly what happens. At the end of week 6, a product worth £600 goes into circulation, and flows back as money at the end of week 9. So at the start of week 7, capital II goes into action and covers the needs of the next working period for weeks 7 to 9. But by our assumption, at the end of week 9 that working period is only half finished. So at the start of week 10, the £600 of capital I that has just flowed back goes into action again, and its £300 covers what's needed for weeks 10 to 12. That completes the second working period. Now there is a product worth £600 in circulation, due to flow back at the end of week 15; but alongside it, £300 — the amount of the original capital II — has been released, and can go to work in the first half of the next working period, weeks 13 to 15. Once that period is over, the £600 flows back again: £300 of it is enough to reach the end of the working period, and £300 stays released for the one after.

The matter now stands as follows:
laid out week by week

It runs like this:

Turnover period I: weeks 1-9
first turnover period

First turnover period: weeks 1 to 9.

First working period: weeks 1-6. Capital I of £600 functions.
first working period

First working period: weeks 1 to 6. Capital I, £600, is at work.

First circulation period: weeks 7-9. At the end of week 9, £600 returns.
first circulation period

First circulation period: weeks 7 to 9. At the end of week 9, £600 flows back.

Turnover period II: weeks 7-15
second turnover period

Second turnover period: weeks 7 to 15.

Second working period: weeks 7-12.
second working period

Second working period: weeks 7 to 12.

first half: weeks 7-9. Capital II of £300 functions. At the end of week 9, £600 returns in money (capital I).
first half: capital II at work

First half: weeks 7 to 9. Capital II, £300, is at work. At the end of week 9, £600 flows back as money — this is capital I.

second half: weeks 10-12. £300 of capital I functions. The other £300 of capital I remains free.
second half: £300 stays released

Second half: weeks 10 to 12. £300 of capital I is at work. The other £300 of capital I stays released.

Second circulation period: weeks 13-15.
second circulation period

Second circulation period: weeks 13 to 15.

At the end of week 15, £600 returns in money (formed half from capital I, half from capital II).
£600 flows back, mixed origin

At the end of week 15, £600 — half from capital I, half from capital II — flows back as money.

Turnover period III: weeks 13-21
third turnover period

Third turnover period: weeks 13 to 21.

Third working period: weeks 13-18.
third working period

Third working period: weeks 13 to 18.

first half: weeks 1 3-15. The £300 set free begins to function. At the end of week 15, £600 returns in money.
released £300 goes to work

First half: weeks 13 to 15. The released £300 goes into action. At the end of week 15, £600 flows back as money.

second half: weeks 16-18. Of the £600 that has returned, £300 functions, the other £300 again remains free.
second half: £300 released again

Second half: weeks 16 to 18. Of the £600 that flowed back, £300 is at work; the other £300 stays released again.

Third circulation period: weeks 19-21. At its close, £600 again returns in money; in this £600, capital I and capital II have now merged indistinguishably together.
the two capitals, now fused

Third circulation period: weeks 19 to 21, at the end of which £600 again flows back as money. In this £600, capital I and capital II are now fused together — indistinguishably, with no way to tell which part came from which.

In this way we have eight full turnover periods of a capital of £600 up till the end of the fifty-first week (I: weeks 1-9; II: 7-15; III: 13-21; IV: 19-27; V: 25-33; VI: 31-39; VII: 37-45; VIII: 43-51). But since weeks 49-51 fall in the eighth circulation period, the £300 of capital set free must enter production and keep it going during this time. The turnover thus presents itself as follows at the end of the year: £600 has completed its circuit eight times, making £4,800 turned over. On top of this there is the product of the final three weeks (49-5 1), but this has accomplished only a third of its nine-week circuit, and thus counts only for a third of its total amount, i.e. £100, in the sum turned over. So if the annual product of fifty-one weeks is £5,100, the capital turned over is only 4,800+100 = £4,900; the total capital advanced was £900, and this has therefore turned over 5⅓ times, i.e. slightly less than in case I.
the year's total: 5 4/9 turnovers

This gives us eight full turnover periods of a £600 capital (I: weeks 1–9; II: 7–15; III: 13–21; IV: 19–27; V: 25–33; VI: 31–39; VII: 37–45; VIII: 43–51), running to the end of week 51. But weeks 49 to 51 fall within the eighth circulation period, so during those weeks the released £300 has to step in and keep production going. That gives us the turnover for the year as follows: the £600 has completed its circuit eight times over, making £4,800. Add to that the product of the last 3 weeks (49–51), which has only covered a third of its 9-week circuit — so it counts toward the turnover total for only a third of its value, that is, £100. So if the year's product over 51 weeks comes to £5,100, the capital that has actually turned over is only £4,800 + £100 = £4,900. The whole advanced capital of £900 has therefore turned over 5 4/9 times — a shade more than in the first case.

In the present example, we assumed a case in which the working time was two thirds of the turnover period, and the circulation time one third, i.e. the working time was a simple multiple of the circulation time. The question arises whether the setting-free of capital noted above also occurs when this is not the case.
does this always hold

In this example, we assumed a case where the working time is two-thirds and the circulation time one-third of the turnover period — so the working time is a simple multiple of the circulation time. The question now is whether the release of capital we've just found still happens when that is not the case.

Let us take a working period of five weeks and a circulation time of four weeks, with a capital advance of £100 per week.
new numbers: 5 weeks, 4 weeks

Let's take a working period of 5 weeks, a circulation time of 4 weeks, and a capital advance of £100 per week.

Turnover period I: weeks 1-9
first turnover period

First turnover period: weeks 1 to 9.

First working period: weeks 1-5. Capital I of £500 functions.
first working period

First working period: weeks 1 to 5. Capital I, £500, is at work.

First circulation period: weeks 6-9. At the end of week 9, £500 returns in money.
first circulation period

First circulation period: weeks 6 to 9. At the end of week 9, £500 flows back.

Turnover period II: weeks 6-14
second turnover period

Second turnover period: weeks 6 to 14.

Second working period: weeks 6-10.
second working period

Second working period: weeks 6 to 10.

first section: weeks 6-9. Capital II of £400 functions. At the end of week 9, capital I of £500 returns in money.
first stretch: capital II at work

First stretch: weeks 6 to 9. Capital II, £400, is at work. At the end of week 9, capital I — £500 — flows back as money.

second section: week 10. £100 out of the returned £500 functions. tions. The remaining £400 stays free for the following working period.
second stretch: £400 released

Second stretch: week 10. Of the £500 that flowed back, £100 is at work. The remaining £400 stays released for the next working period.

Second circulation period: weeks 11-14. At the end of week 14, £500 returns in money.
second circulation period

Second circulation period: weeks 11 to 14. At the end of week 14, £500 flows back as money.

Up till the end of week 14 (weeks 1 1-14), the £400 that has been set free functions; £100 of the £500 that has then returned meets the remaining needs of the third working period (weeks 11-15), so that a further £400 is set free for the fourth working period. The same phenomenon is repeated in each working period. At its beginning, there is £400 available, which suffices for the first four weeks. At the end of the fourth week, £500 returns in money, and only £100 of this is needed for the final week, the remaining £400 being free until the next working period.
the pattern repeats every period

Up through the end of week 14 (weeks 11 to 14), the £400 released above is at work. £100 out of the £500 that then flows back completes what's needed for the third working period (weeks 11 to 15), so that once again £400 is released for the fourth working period. The same thing repeats in every working period: at its start it finds £400 on hand, enough to cover the first 4 weeks. At the end of the 4th week, £500 flows back as money, of which only £100 is needed for the last week, while the remaining £400 stays released for the next working period.

Let us now take a working period of seven weeks, with capital I of £700, and a circulation time of two weeks with capital II of £200.
third example: 7 weeks, 2 weeks

Let's also take a working period of 7 weeks, with a capital I of £700, and a circulation time of 2 weeks, with a capital II of £200.

The first turnover period then lasts from week 1 to week 9, and out of this period the first working period comprises weeks 1-7, with an advance of £700, while the first circulation period comprises weeks 8-9. At the end of the ninth week, the £700 returns in money.
first turnover period, this example

Then the first turnover period runs from week 1 to week 9: the first working period takes weeks 1 to 7, with an advance of £700, and the first circulation period takes weeks 8 to 9. At the end of week 9, the £700 flows back as money.

The second turnover period, weeks 8-16, includes the second working period of weeks 8-14. The needs of weeks 8 and 9 are met by capital II. At the end of the ninth week, the above £700 returns; £500 of this is used up by the end of the working period (weeks 10-14). There remains £200, which is set free for the next working period. The second circulation period covers weeks 15-16; at the end of week 16, a further £700 returns. The same phenomenon is now repeated in each working period. The capital needs of the first two weeks are met by the £200 set free at the close of the previous working period; at the end of the second week, £700 returns, but the working period now has only a further five weeks to run, so that only £500 can be used, and there is always £200 set free for the next working period.
the pattern settles: always £200

The second turnover period, weeks 8 to 16, encloses the second working period, weeks 8 to 14. Of that, the need for weeks 8 and 9 is covered by capital II. At the end of week 9, the £700 above flows back; of that, £500 gets used up by the end of the working period (weeks 10 to 14). That leaves £200 released for the next working period. The second circulation period runs weeks 15 to 16; at the end of week 16, £700 flows back again. From here on, the same thing repeats in every working period. The capital needed for the first two weeks is covered by the £200 released at the close of the previous working period; at the end of the second week of that period, £700 flows back — but the working period only has 5 weeks left to run, so it can only use up £500. So £200 always stays released for the next working period.

It emerges, therefore, that in our present example, where the working period is taken as greater than the circulation period, there is always set free at the close of each working period, under all circumstances, a money capital of the same magnitude as the capital I I, which was advanced for the circulation period. In our three examples, capital II was £300 in the first, £400 in the second and £200 in the third, and the capital set free at the close of the working period was accordingly £300, £400 and £200.
the general rule, confirmed

So it turns out that in our case — where the working period is longer than the circulation period — a sum of money capital always gets released at the close of every working period, no matter what, and it is exactly the same size as capital II, the capital advanced for the circulation period. In our three examples, capital II was £300 in the first, £400 in the second, £200 in the third; and correspondingly, the capital released at the close of the working period was £300, £400, and £200 each time.

Kap. 15
Case III and the Results
Unit u132's Case II showed release when the working period is the longer one. Case III flips the ratio and, after both special cases are exhausted, the Results step back to state what holds for the social capital in general: release, not relief, is the rule — which is what the next unit examines the STATE of.
3. WORKING PERIOD SHORTER THAN CIRCULATION PERIOD
We again start with a turnover period of nine weeks; the working period is now three weeks, the capital I required for this being £300. The circulation period is six weeks. For these six weeks an additional capital of £600 is needed, which we can however divide up again into two capitals of £300, each of these catering for one working period. We then have three capitals of £300 each, with £300 always occupied in production, while £600 circulates [Table I I I].
three capitals in rotation

Let's go back to assuming a turnover period of 9 weeks: 3 weeks working period, needing £300 of available capital (call it Capital I). The circulation period is 6 weeks long. To cover those 6 weeks we need an extra £600 — but we can split that into two more capitals of £300 each, one for each working period. So now we have three capitals of £300 apiece. At any moment, £300 is at work in production while £600 is out in circulation.

Here we have the exact counterpart of case I, with the simple distinction that three capitals now relieve one another instead of two. There is no intersection or entanglement between the capitals; each individual capital can be separately traced right through to the end of the year. Just as little as in case I, therefore, is any capital set free at the close of a working period. Capital I is completely laid out by the end of week 3, completely returns at the end of week 9, and begins to function again at the start of week 1 0. Similarly with capitals II and III. The even and complete replacement of the capitals excludes the setting free of any part of them.
TABLE III
Capital I
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 1-9 1-3 4-9
II 10-18 10-12 13-18
III 19-27 19-21 22-27
IV 28-36 28-30 31-36
V 37-45 37-39 40-45
VI 46-(54) 46-48 49-(54)
Capital II
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 4-12 4-6 7-12
II 13-21 13-15 16-21
III 22-30 22-24 25-30
IV 31-39 31-33 34-39
V 40-48 40-42 43-48
VI 49-(57) 49-51 (52-57)
Capital III
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 7-15 7-9 10-15
II 16-24 16-18 19-24
III 25-33 25-27 28-33
IV 34-42 34-36 37-42
V 43-51 43-45 46-51
no release, just orderly succession

This is the exact mirror image of Case I — the only difference is that now three capitals take turns instead of two. The capitals never cross or tangle with one another; you can follow each one separately right through to the end of the year. And just as in Case I, no capital is released at the end of a working period. Capital I is fully laid out by the end of week 3, flows all the way back by the end of week 9, and starts working again at the beginning of week 10. Capital II and Capital III behave the same way. Because the handover between them is regular and complete, no release of capital happens at all.

The overall turnover is calculated as follows:
turned over by capital I £300×5⅔ = £1,700
" " " " II £300×5⅓ = £1,600
" " " " III
£300×5 = £1,500
turned over by the total capital £900×5⅓ = £4,800
the total turnover, worked out

Here is how the total turnover works out. Capital I: £300 × 5⅔ = £1,700. Capital II: £300 × 5⅓ = £1,600. Capital III: £300 × 5 = £1,500. Total capital: £900 × 5⅓ = £4,800.

We shall now take an example in which the circulation period is not an exact multiple of the working period, i.e. a working period of four weeks, a circulation period of five weeks. The corresponding sums of capital are thus capital I = £400, capital II = £400, capital III = £100. The table only gives the first three turnovers.
when circulation isn't a clean multiple

Now take a case where the circulation period is not an exact multiple of the working period — say, a working period of 4 weeks and a circulation period of 5 weeks. The matching capitals would then be Capital I = £400, Capital II = £400, and Capital III = £100. We'll only work through the first three turnovers.

TABLE IV
Capital I
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 1-9 1-4 5-9
II 9-17 9, 10-12 13-17
III 17-25 17, 18-20 21-25
Capital II
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 5-13 5-8 9-13
II 13-21 13, 14-16 17-21
III 21-29 21, 22-24 25-29
Capital III
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 9-17 9 10-17
II 17-25 17 18-25
III 25-33 25 26-33
TABLE IV
Capital I
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 1-9 1-4 5-9
II 9-17 9, 10-12 13-17
III 17-25 17, 18-20 21-25
Capital II
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 5-13 5-8 9-13
II 13-21 13, 14-16 17-21
III 21-29 21, 22-24 25-29
Capital III
Turnover Period (weeks) Working Period (weeks) Circulation Period (weeks)
I 9-17 9 10-17
II 17-25 17 18-25
III 25-33 25 26-33
Here the capitals are intertwined in so far as the working period of capital III, which does not have an independent working period of its own, since it is sufficient only for one week, coincides with the first working week of capital I. For this reason, however, a capital of £100, equal to capital III, is set free at the close of the working periods of both capitals I and II. If, for instance, capital III serves for the first week of the second and all subsequent working periods of capital I, and at the close of this first week the entire capital I of £400 returns, then the remainder of the working period of capital I amounts only to three weeks, and the corresponding capital outlay is £300. The £100 set free in this way then suffices for the first week of the directly following working period of capital I I; at the close of this week the entire capital II of £400 returns; but since the working period which is in progress can absorb only £300, there remains at its close, once again, £100 set free; and so on. Capital is thus set free at the close of the working period whenever the circulation time is not a simple multiple of the working period; and this capital that is set free is moreover equal to the portion of capital which has to fill in for the excess of the circulation period over a working period or over a number of working periods.
release when the periods don't divide evenly

Here the capitals do tangle a little, because Capital III has no working period of its own — it only lasts one week — and that week falls inside the first working week of Capital I. But in return, at the end of the working period of both Capital I and Capital II, an amount equal to Capital III, £100, gets released. Here's why. Capital III fills the first week of the second (and every later) working period of Capital I, and at the end of that week the whole of Capital I, £400, flows back. That leaves only 3 weeks of the working period still to cover, needing only £300. So the £100 that gets freed up is exactly enough for the first week of the working period that follows straight after for Capital II. At the end of that week, the whole of Capital II, £400, flows back too — but the working period still running can only absorb £300, so once again £100 is left released. And so it continues. So capital gets released at the end of a working period whenever the circulation time is not a simple multiple of the working period — and the amount released is exactly equal to whatever is needed to cover the excess of the circulation period over a working period, or over a multiple of working periods.

It has been assumed in all the cases investigated that both working time and circulation time remain the same throughout the year in the business under consideration, whatever it may be. This assumption was necessary, if we wished to establish the influence of the circulation time on the turnover and on the capital advanced. It is beside the point here that this is not unconditionally the case in reality, and often not at all so.
the assumption behind these examples

In every case we've looked at, we assumed that both the working period and the circulation time stay the same all year round in whatever business we're considering. That assumption was necessary if we wanted to work out how circulation time affects turnover and how much capital has to be advanced. That in reality this often doesn't hold so strictly — or doesn't hold at all — changes nothing about the point being made.

In this whole Part, we are considering only the turnovers of circulating capital, and not those of fixed capital. This is for the simple reason that the matter under consideration does not involve the fixed capital. The means of labour, etc. that are applied in the production process only form fixed capital to the extent that the time during which they are in use extends longer than the turnover period of the fluid capital; in so far as the time during which these means of labour endure and serve for constantly repeated labour processes is greater than the turnover period of the fluid capital, i.e. covers a number - n - of turnover periods of this fluid capital. Whether the overall interval which is formed by these n turnover periods of the fluid capital is longer or shorter, the part of the productive capital that is advanced for this time in the form of fixed capital is not advanced again within the same interval. It goes on functioning in its old use form. The difference is simply that, according to the differing length of the individual working period in each turnover period of the fluid capital, the fixed capital surrenders a greater or smaller part of its original value to the product of this working period, and, according to the duration of the circulation time in each turnover period, this portion of the value of the fixed capital that is given up to the product returns more quickly or more slowly in the money form. The nature of the object of investigation in this Part - the turnover of the circulating part of the productive capital - arises from the nature of this portion of the capital itself. The fluid capital applied in one working period cannot be applied in a new working period before it has completed its turnover, i.e. has been transformed into commodity capital, from the latter into money capital, and then back again into productive capital. In order to follow the first working period directly with a second, therefore, new capital must be advanced, and in sufficient quantity to fill the gaps that arise as a result of the circulating period of the fluid capital that is advanced for the first working period. Hence the influence of the length of the working period of the fluid capital on the scale of the labour process and on the division of the capital advanced, or on the addition of new portions of capital. This however is precisely what we are considering in this Part.
why fixed capital was set aside

Throughout this whole section we've only looked at the turnovers of circulating capital, not of fixed capital — simply because the question at hand has nothing to do with fixed capital. Instruments of labour and the like only count as fixed capital to the extent that they last longer in use than one turnover period of the fluid capital — that is, to the extent that the time they go on serving in repeated labour processes is longer than a turnover period of fluid capital, equal to some whole number, n, of such turnover periods. Whether the total time made up by these n turnover periods is long or short, the part of productive capital that was advanced as fixed capital for that whole stretch is not advanced again during it. It just goes on functioning in its old physical form. The only difference is this: depending on how long each working period within each turnover period of fluid capital happens to be, the fixed capital hands over a bigger or smaller share of its original value to that working period's product; and depending on how long the circulation time of each turnover period is, that value-share flows back in money form faster or slower. What we're dealing with in this section — the turnover of the circulating part of productive capital — follows from the very nature of that part of capital. Fluid capital used up in one working period cannot be used again in a new working period until it has completed its own turnover: turned into commodity-capital, then into money-capital, then back into productive capital. So to run a second working period straight on from the first, fresh capital has to be advanced and turned into the fluid elements of productive capital — enough of it to fill the gap created by the circulation time of the fluid capital advanced for the first working period. That is exactly why the length of the working period of fluid capital affects the scale on which the labour process can run, and how the advanced capital has to be divided up, or topped up with fresh portions. And that is precisely what this section set out to examine.

4. RESULTS
The above investigation leads to the following results:
what the investigation establishes

So, from what we've worked through so far, the following results hold:

A. The various portions in which the capital has to be divided, so that one part of it can always be in its working period while other parts are in their circulation period, relieve each other, like independent private capitals, in two cases: (1) If the working period is equal to the circulation period, and the turnover period is thus divided into two equal sections; (2) if the circulation period is longer than the working period, but is a simple multiple of it, so that 1 circulation period = n working periods, where n must be a whole number. In these cases, no part of the capital successively advanced is set free.
when no capital is released

A. The different portions that capital must be split into — so that one part is always in its working period while the others are out in their circulation period — take turns with each other, like separate independent private capitals, only in two situations. First, when the working period equals the circulation period, splitting the turnover period into two equal halves. Second, when the circulation period is longer than the working period but is still an exact whole-number multiple of it — so the circulation period equals n working periods, with n a whole number. In both these situations, no part of the capital successively advanced is ever released.

B. However, in all cases where (1) the circulation period is greater than the working period, without forming a simple multiple of it, or (2) the working period is greater than the circulation period, a part of the overall fluid capital is always periodically set free at the close of each working period. This capital that is set free, moreover, is equal to the portion of the total capital that is advanced for the circulation period, if the working period is greater than the circulation period; and equal to the portion of capital which has to stand in for the excess of the circulation period over a working period or a whole number of working periods, if the circulation period is greater than the working period.
when capital gets released, and how much

B. But in every other case — first, wherever the circulation period is longer than the working period without being an exact multiple of it, and second, wherever the working period is longer than the circulation period — a part of the total fluid capital is constantly and periodically released at the end of each working period, from the second turnover onward. And the amount released is: the part of the total capital advanced to cover the circulation period, when the working period is longer than the circulation period; and the part of capital needed to cover the excess of the circulation period over a working period (or over a multiple of working periods), when the circulation period is longer than the working period.

C. It follows from this that as far as the total social capital is concerned, considering the fluid part of this, the setting-free of capital is the rule, while the simple mutual replacement of portions of capital functioning successively in the production process must form the exception. For the equality of working period and circulation period, or the equality of circulation period and a whole number of working periods, in other words a regular proportion between the two components of the turnover period, has nothing at all to do with the nature of the case, and can therefore occur, by and large, only exceptionally.
release is the rule, not the exception

C. It follows that for the total social capital — considered with respect to its circulating part — the release of capital must be the rule, and the mere handover of successively functioning portions of capital the exception. Because the working period being exactly equal to the circulation period, or the circulation period being exactly a whole-number multiple of the working period — this kind of neat proportionality between the two parts of the turnover period — has nothing whatsoever to do with the nature of the matter, and so, taken as a whole, can only happen as an exception.

A very significant portion of the social circulating capital, which is turned over several times in the year, will thus periodically exist in the course of the annual turnover cycle in the form of capital set free.
a large share stays released

So a very sizeable part of the social circulating capital that turns over several times a year will, over the course of the year's turnover cycle, periodically sit there in the form of released capital.

It is also evident that, assuming that all other circumstances remain the same, the magnitude of this capital set free will grow with the extent of the labour process or the scale of production, and thus with the development of capitalist production in general. In case B (2), simply because the overall capital advanced grows; in B (1), [for the same reason, and] because the length of the circulation period also grows with the development of capitalist production, while the circulation period is not a simplemultiple of the working period.
release grows as production grows

It's also clear that, with everything else staying the same, the amount of this released capital grows as the scale of the labour process grows — as the scale of production grows — in other words, as capitalist production develops generally. In the case under B.2, this is because the total advanced capital grows; in the case under B.1, it's because as capitalist production develops, the circulation period gets longer, and so does the turnover period, in those cases where the working period has no regular ratio to the two periods.

In the first case, for example, there was £100 to be laid out each week. This made £600 for a six-week working period, and £300 for a three-week circulation period, making a total of £900. Here, £300 was always set free. If however £300 was laid out each week, then this would make £1,800 for the working period and £900 for the circulation period; and so £900 would be periodically set free instead of £300.
the same point, in numbers

Take the first case: say we have to lay out £100 a week. For a six-week working period that's £600; for a three-week circulation period that's £300; together £900. Here, £300 is constantly released. But if instead we lay out £300 a week, then the working period needs £1,800 and the circulation period £900 — so what gets periodically released is £900, not £300.

D. The total capital of e.g. £900 must be divided up into two portions, in the above case £600 for the working period, and £300 for the circulation period. The portion that is actually laid out in the labour process will therefore diminish by a third, from £900 to £600, and hence the scale of production will also be reduced by a third. The £300, on the other hand, only functions to make the working period continuous, so that in each week of the year £100 can be laid out in the labour process.
splitting capital cuts the scale

D. A total capital of, say, £900 has to be split into two parts — as before, £600 for the working period and £300 for the circulation period. The part actually laid out in the labour process is thereby cut by a third, from £900 down to £600, and the scale of production is cut by a third along with it. The remaining £300, on the other hand, only serves to keep the working period running without a break, so that £100 can be laid out in the labour process in every single week of the year.

Taken abstractly, it is all the same whether £600 operates for 6×8 = 48 weeks (product = £4,800), or whether the entire capital of £900 is laid out for six weeks in the labour process and then lies idle for a circulation period of three weeks; in the latter case it would operate for thirty-two weeks (=5⅓×6) out of a total of forty-eight (product = 5⅓×900 = £4,800), and lie idle for sixteen weeks. But apart from the greater waste of fixed capital during the idle period of sixteen weeks, and the increased cost of labour, which has to be paid for the whole year even if only a part of this is worked, a regular interruption of this kind in the production process would be incompatible with the running of modern large-scale industry. Continuity is itself a productive force of labour.
why the interruption doesn't work

Looked at in the abstract, it seems to make no difference whether £600 works for 6 × 8 = 48 weeks (giving a product of £4,800), or whether the whole £900 is laid out in the labour process for 6 weeks and then sits idle for the 3-week circulation period; in that second case it would work 5⅓ × 6 = 32 weeks out of the 48 (product = 5⅓ × 900 = £4,800), and lie idle for 16 weeks. But that is only how it looks in the abstract. Set aside the extra wear on the fixed capital during those 16 idle weeks, and the extra cost of labour, which has to be paid for the whole year even though it only works part of it — a regular interruption of the production process like this is simply incompatible with running modern large-scale industry at all. Continuity of this kind is itself a productive force of labour.

Kap. 15
The State of the Capital Set Free; Engels's Dissent
Unit u133's Results named release as the rule for the social capital. This unit asks what the released capital actually IS while it waits, generalizes the result into the Plethora claim — and then, in a bracketed note signed by Engels, never Marx, argues from outside the text that the whole category has been overweighted.
If we now look more closely at the capital that is set free, or in actual fact suspended, it is clear that a significant part of this must always possess the form of money capital. Let us stick to the example of the working period of six weeks and the circulation period of three weeks, weekly outlay £100. In the middle of the second working period, at the end of week 9, £600 returns, of which only £300 has to be laid out during the remainder of the working period. At the end of the second working period, therefore, £300 of this is set free. In what state does this £300 now exist ? We shall assume that one third of it is laid out on wages, and two thirds on raw and ancillary materials. Of the £600 that has returned, £200 thus exists in the money form for wages, and £400 in the form of a productive stock, i.e. as elements of the constant circulating productive capital. But since only half of this productive stock is required for the second half of working period II, the other half exists for three weeks in the form of surplus productive stock, i.e. surplus to the needs of one working period. The capitalist, however, knows that, out of the portion of capital that has returned to him (£400), he needs only one half for the current working period. It will therefore depend on the market conditions whether he immediately transforms this £200 completely or partially back into surplus productive stock, or hangs onto it wholly or partly as money capital, in the expectation of more favourable market conditions. It is self-evident, on the other hand, that the part to be laid out on wages (£200) is kept in the money form. The capitalist cannot dispose of labour-power, once he has bought it, as he can the raw material in his storeroom. He has to incorporate it into the production process and pay for it at the end of the week. Of the capital of £300 that has been set free, therefore, this £100 will in any case possess the form of money capital that has been set free, i.e. is not needed for the working period. The capital set free in the form of money capital must therefore at least be equal to the variable portion of the capital, that laid out on wages; at the maximum, it can include the whole of the capital set free. In reality, it constantly fluctuates between the minimum and the maximum.
the released capital's state

Let's look more closely at the capital that gets released — or, more precisely, suspended, since that is the truer word for what is happening. A significant part of it must always take the form of money-capital. Stay with the example: a working period of 6 weeks, a circulation period of 3 weeks, an outlay of £100 a week. Halfway through the second working period, at the end of week 9, £600 flows back, of which only £300 is needed to cover spending for the rest of the working period. So at the end of the second working period, £300 of that sum is released. What state is this £300 in? Suppose one-third has to be laid out on wages and two-thirds on raw and auxiliary materials. Of the £600 that has flowed back, £200 is therefore in money form for wages, and £400 is in the form of productive stock — elements of the constant, circulating productive capital. But since only half of that productive stock is actually needed for the second half of working period II, the other half sits for 3 weeks as stock surplus to a whole working period. The capitalist knows that of this £400, he needs only half — £200 — for the current working period. So it will depend on market conditions whether he turns this £200 straight back, wholly or partly, into surplus productive stock, or holds it, wholly or partly, as money-capital while he waits for better conditions. On the other hand, it goes without saying that the part to be laid out on wages — £200 — is kept in money form. The capitalist cannot warehouse labour-power the way he can raw material once he has bought it: he has to put it to work in the production process and pay for it at the end of the week. So of the £300 released, at any rate £100 of it will, in any case, take the form of released money-capital — money-capital not needed for the working period. The capital released in the form of money-capital must therefore be at least equal to the variable capital laid out on wages; at most it can amount to the whole of the released capital. In reality it constantly fluctuates between this minimum and this maximum.

This money capital that is set free simply by the mechanism of the turnover movement (together with the money capital set free by the successive reflux of the fixed capital and that needed for variable capital in every labour process) must play a significant role, as soon as the credit system has developed, and must also form one of the foundations for this.
feeding the credit system

This money-capital, released purely by the mechanism of the turnover movement — alongside the money-capital released by the gradual return of fixed capital, and the money-capital needed in every labour process for variable capital — is bound to play a significant part once the credit system develops, and at the same time is bound to form one of that system's foundations.

Let us assume in our example that the circulation time is cut from three weeks to two. This is not a normal occurrence, but may be an effect of a good period for business, shortened terms of payment, etc. The capital of £600 that was laid out during the working period returns one week earlier than needed, and is therefore set free for this week. £300 (part of that £600) is again set free, as before, in the middle of the working period, but for four weeks now instead of three. Hence £600 exists on the money market for one week, and £300 for four weeks instead of three. Since this does not just affect one single capitalist, but rather several, and occurs at different periods in different branches of industry, a greater quantity of disposable money capital is thereby brought onto the market. If this state of affairs lasts a long time, production will be expanded, where circumstances permit; capitalists who operate with borrowed capital will exert less demand on the money market, which relieves it as much as does increased supply; alternatively the sums that have become superfluous for the turnover mechanism will eventually be definitively thrown out onto the money market.
when circulation time shrinks

Suppose, in our example, that the circulation time shrinks from 3 weeks to 2. Say this is not the normal state of things but the result of, say, brisk trade or shorter payment terms. The £600 of capital laid out during the working period now flows back a week earlier than it needs to — so for that week it is released. And, as before, £300 (part of that £600) is released at the midpoint of the working period, but now for 4 weeks instead of 3. So the money market has £600 released for one week, and £300 released for 4 weeks instead of 3. Since this does not happen to just one capitalist but to many, at different times, in different lines of business, more disposable money-capital appears on the market as a result. If this state of affairs lasts, then, wherever it is possible, production will be expanded; capitalists working with borrowed capital will make less demand on the money market, which eases that market just as much as an increased supply would; or, finally, the sums which…

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surplus sums hit the market

Sums that turn out to be excess to this whole mechanism are, in the end, simply thrown straight onto the money market as available money-capital.

As a result of the contraction of the circulation time from three to two weeks, and hence of the turnover period from nine weeks to eight, one ninth of the total capital advanced becomes superfluous; the sixweek working period can now be kept going just as steadily with £800 as it could before with £900. A portion of the commodity capital, £100, therefore, once it is turned back into money, persists in this state as money capital, and no longer functions as a part of the capital advanced for the production process. While production is continued on the same scale and with conditions such as prices, etc. remaining otherwise the same, the value of the capital advanced declines from £900 to £800; the remaining £100 of the value originally advanced is precipitated out in the form of money capital. As such it enters the money market and forms an additional part of the capital functioning there.
a shorter turnover frees capital

As a result of the contraction of the circulation time from 3 to 2 weeks, and therefore of the turnover period from 9 to 8 weeks, one ninth of the capital originally laid out simply isn't needed any more: the six-week working period can now be kept running just as steadily with £800 as it previously was with £900. A portion of the value of the commodity-capital — £100 — once turned back into money, therefore stays in that state as money-capital, without functioning any further as part of the capital advanced for the production process. While production continues on the same scale and under otherwise unchanged conditions, such as prices, the value-sum of the capital advanced falls from £900 to £800; the remaining £100 of the value originally advanced is set free in the form of money-capital. As such, it enters the money market and forms an additional part of the capitals functioning there.

We can see from this how a surfeit of money capital can arise - and not only in the sense that the supply of money capital is greater than the demand for it; the latter is never more than a relative surplus, which is found for instance in the depressed period that opens the new business cycle after the crisis is over. It is rather in the sense that a definite part of the capital advanced is superfluous for the overall process of social reproduction (which includes the circulation process), and is therefore precipitated out in the form of money capital; it is thus a surplus which has arisen with the scale of production and prices remaining the same, simply by a contraction in the turnover period. The mass of money in circulation, whether this is larger or smaller, does not have the slightest influence on this.
the real plethora explained

This shows how a plethora of money-capital can arise — and not only in the sense that the supply of money-capital is greater than the demand for it. That is always only a relative plethora, the kind that occurs, for instance, in the "melancholy period" that opens the new cycle after a crisis ends. There is also a plethora in a different sense: a definite part of the advanced capital-value becomes superfluous for running the whole social reproduction process — circulation included — and is therefore set free in the form of money-capital. This is a plethora that arises while the scale of production and prices both stay exactly the same, purely through the contraction of the turnover period. The mass of money in circulation — larger or smaller, whatever its size — has had not the slightest influence on this.

Let us assume, inversely, that the circulation period is extended, say from three weeks to five. Then, when the next turnover takes place, the reflux of the capital advanced is already two weeks too late. The last part of the production process of this working period cannot be completed simply through the turnover mechanism of the capital originally advanced. If the situation continues for much longer, there will be a contraction of the production process (i .e. a reduction of the scale on which it is conducted), just as in the previous case there was an expansion. In order to continue the process on the same scale, the capital advanced would have to be increased by 2/9 (=£200) for the entire duration, to cope with this prolongation of the circulation period. This additional capital can be obtained only from the money market. If the prolongation of the circulation period affects one or more major lines of business, then it may exert pressure on the money market, if this effect is not cancelled out by a counter-effect from another direction. In this case too, it is manifestly evident that this pressure, just like the surplus in the previous case, has nothing to do with a change either in the prices of commodities or in the quantity of the available means of circulation.
when circulation time lengthens

Now suppose the reverse: the circulation period lengthens, say from 3 weeks to 5. Then already at the next turnover, the return of the advanced capital happens 2 weeks too late. The last part of this working period's production process cannot be carried on by the mechanism of the advanced capital's own turnover. If this state of affairs lasted longer, then just as expansion of the production process could occur in the previous case, contraction of it — of the scale on which it is carried on — could occur here. But to keep the process going at the same scale, the advanced capital would have to be increased, for the whole duration of this lengthening of the circulation period, by two-ninths, that is £200. This additional capital can only be drawn from the money market. If the lengthening of the circulation period holds for one or several major branches of business, it can therefore put pressure on the money market, unless that effect is cancelled out by a counter-effect from elsewhere. Here too it is plain and obvious that this pressure, like that plethora before it, had not the slightest thing to do with any change either in the prices of commodities or in the mass of the circulating medium on hand.

(The preparation of this chapter for publication has involved no small difficulties. Despite Marx's firm grasp of algebra, he was never at ease in reckoning with figures, i.e. in commercial calculations, even though there is a thick sheaf of notebooks in which he worked through all the various kinds of commercial calculation in several examples. But knowledge of the proper rules of calculation is not at all the same thing as exercise in the everyday practical calculations of the trader, and in his turnover calculations Marx became confused, with the result that, apart from being incomplete, they contain many errors and contradictions. In the tables reproduced above I have retained only the simplest and the arithmetically correct calculations, mainly for the following reason.
an editor's confession

Finishing this chapter for the press was no small trouble, Engels writes. However sure Marx's footing was as an algebraist, he never felt at home with plain numerical calculation, and especially not with the commercial kind — even though a thick bundle of notebooks exists in which he worked through every sort of commercial calculation himself, in many worked examples. But knowing the individual methods of calculation is by no means the same thing as being practised in a merchant's everyday, working reckoning, and so Marx tangled himself up in these turnover calculations to the point that, alongside what was simply unfinished, a good deal that was wrong or self-contradictory came out of it. In the tables printed above, Engels says he has kept only what was simplest and arithmetically correct — mainly for the following reason.

The uncertain results of this tiresome calculation business led Marx to ascribe an undeserved significance to what in my opinion is in fact a matter of little importance. I refer to what he calls the ' setting-free ' of money capital. The real question involved, on the assumptions made above, is this: No matter what the ratio between the length of the working period and the circulation time may be, and thus between capital I and capital II, once the first turnover has occurred there returns to the capitalist, at regular intervals equal in length to the working period, the capital needed for one such working period - thus a sum equal to capital I.
the real story, restated

The uncertain results of this laborious reckoning led Marx, in Engels's view, to give an actually rather unimportant point far more weight than it deserved. He means what Marx calls the "release" of money-capital. The real state of affairs, on the assumptions made above, is this:

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the general rule restated

Here is Engels's own account of it: whatever the ratio in size between the working period and the circulation time — that is, between Capital I and Capital II — once the first turnover is complete, the capital needed for one working period, a sum equal to Capital I, flows back to the capitalist in money form at regular intervals, each as long as the working period.

If the working period is five weeks, the circulation time four weeks, and capital I £500, then a sum of £500 flows back each time, at the end of weeks 9, 14, 19, 24, etc. If the working period is six weeks, the circulation time three weeks, and capital I £600, then £600 flows back at the end of weeks 9, 15, 21, 27, 33, etc. Finally, if the working period is four weeks, the circulation time five weeks, capital I £400, then the reflux of £400 follows at the end of weeks 9, 13, 17, 21, 25, etc.
example: five and four weeks

Engels's first example: if the working period is 5 weeks, the circulation time 4 weeks, and Capital I is £500, then a sum of £500 flows back each time — at the end of week 9, 14, 19, 24, 29, and so on.

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example: six and three weeks

Engels's second example: if the working period is 6 weeks, the circulation time 3 weeks, and Capital I is £600, then £600 flows back each time — at the end of week 9, 15, 21, 27, 33, and so on.

M–A merges
example: four and five weeks

And Engels's third example: if the working period is 4 weeks, the circulation time 5 weeks, and Capital I is £400, then £400 flows back each time — at the end of week 9, 13, 17, 21, 25, and so on.

Whether and to what degree this capital that has returned is superfluous for the current working period, and is thus set free, makes no difference. It is assumed that production proceeds uninterruptedly on the existing scale, and, for this to occur, money must be present, and thus flow back, whether it is ' set free ' or not. If production is interrupted, then this setting-free comes to an end.
release doesn't change the need

Engels adds: whether, and how much, of this returned money is surplus to the current working period — that is, released — makes no difference. It is assumed that production goes on uninterrupted on its current scale, and for that to happen the money has to be there, has to flow back, whether "released" or not. If production is interrupted, the release stops too.

In other words, there is in any case a release of money, i .e. a formation of latent, only potential capital, in the money form; but this happens in all circumstances, and not only under those particular conditions specified in the text; it happens, moreover, to a greater extent than that assumed in the text. In relation to circulating capital I, the industrial capitalist finds himself, at the end ofeach turnover, in precisely the same situation as when he set up his business; he has this capital completely in his hands once more, and at one go, while he can only gradually transform it again into productive capital.
release happens more broadly

In other words, Engels grants that release of money does happen — that latent, merely potential capital in money form does form — but it happens under all circumstances, not only under the special conditions spelled out in the text, and it happens on a larger scale than the text assumes. With respect to the circulating Capital I, the industrial capitalist finds himself, at the end of every turnover, in exactly the position he was in when he first set up the business: he has the whole sum in hand again, all at once, even though he can only turn it back into productive capital gradually.

The main thing in the text is the proof that a considerable part of industrial capital is always present in the money form, while a still more considerable part must assume this form from time to time. This proof is reinforced, if anything, by these additional remarks ofmine. - F.E.)
the point of it all

What matters in the text, Engels says, is the demonstration that a considerable part of industrial capital must always exist in money form, and that an even larger part must temporarily take on money form as well. These additional remarks of his, at most, reinforce that demonstration. — F. E.

Kap. 15
Effect of Changes in Price; Case I
Units u129-u134 held prices constant and varied circulation TIME. Section V runs the same machinery with the variable swapped: it holds time constant and lets price move, to show the release-and-need mechanism is not specific to turnover length at all.
5. EFFECT OF CHANGES IN PRICE
We have so far assumed that prices and the scale o f production stay the same, while there is a contraction or expansion in the circulation time. Let us now assume, by way of contrast, a constant turnover period and a constant scale of production, but a change in price, i.e. a fall or rise in the price of raw materials, ancillaries and labour, or of the first two of these elements. Let us say that the price of raw materials and ancillaries falls by a half. In our example, only £50 would then be needed each week instead of £100, and £450 for the nine-week turnover period instead of £900. £450 of the capital value advanced will at first be precipitated out as money capital, but the production process will be continued on the same scale, with the same turnQver period and the same division within this. The annual product will remain the same in volume, but its value will fall by one half. It is neither an accelerated circulation that has led to this, nor a change in the quantity of money in circulation, but it is still accompanied by a change in the supply of and demand for money capital. The converse is also true. The initial effect of a fall of a half in the value or price of the elements of productive capital would be that the capital value that has to be advanced for business X, continued on the same scale as before, would be reduced by a half, and so business X would also have to cast only half as much money into the market, since it is in the form ofmoney, i .e. as moneycapital, that business X originally advances this capital value. The quantity ofmoney cast into circulation would decline, because the price of the elements of production had fallen. This would be the first effect.
prices change, not turnover time

Up to now we've held prices steady and let the turnover period stretch or shrink instead. Now let's do the opposite: hold the turnover period and the scale of production steady, and let prices change — the price of raw materials, of auxiliary materials, and of labour, or of the first two of these. Say the price of raw and auxiliary materials, and wages, falls by half. In our example that means £50 a week instead of £100, and £450 of advanced capital for the nine-week turnover period instead of £900. £450 of the capital value that used to be advanced is now set free — for the moment, as money capital — while production keeps running at the same scale, with the same turnover period split up the same way as before. The year's output is still the same quantity of goods, but its value has fallen by half. None of this was produced by a speeding-up of circulation, or by a change in the amount of money circulating — though this price change does go along with a shift in the supply and demand for money capital.

M–A merges
the first effect: less money needed

But the causation actually runs the other way. The fall in the value, or price, of the elements of productive capital by half would, first of all, mean that business X — still running at the same scale as before — only needs half as much capital value advanced to it, and so only throws half as much money onto the market, since business X advances that capital value first in the form of money, as money capital. The amount of money thrown into circulation would have shrunk, because the prices of the elements of production fell. That was the first effect.

Secondly, however, half of the capital value of £900 originally advanced, i. e. £450, which either (a) alternately passed through the forms of money capital, productive capital and commodity capital, or (b) existed simultaneously and contiguously partly in the form of money capital, partly as productive capital and partly as commodity capital, would be precipitated out from the circuit of business X and would therefore enter the money market as additional money capital, and function there as an additional component. This £450 set free in money functions as money capital not because it is money that has become superfluous for the conduct of business X, but rather because it is a component of the original capital value, hence continues to operate as capital and is not spent as a mere means of circulation. The most direct form in which it can be made to operate as capital is if it is placed on the money market as money capital. Alternatively, the scale of production could be doubled (ignoring the fixed capital). A production process of double the scale could then be conducted with the same capital advance of£900.
second effect: £450 comes free

But there is a second effect. Half of the capital value originally advanced — £900, so £450 — used to pass through the forms of money capital, productive capital, and commodity capital in turn, and at any one moment was split across all three forms at once. That £450 is now set free from business X's circuit and enters the money market as an additional block of money capital — it acts on the market as something extra. This freed £450 acts as money capital not because it has become surplus money no longer needed to run business X, but because it is part of the original capital value — so it goes on functioning as capital, rather than being spent as a mere means of circulation. The next way for it to act as capital is to be thrown onto the money market as money capital. Or, alternatively, the scale of production could be doubled instead (fixed capital aside). The same £900 of advanced capital could then run a production process twice the size.

If the prices of the fluid elements of the productive capital were to rise by a half, on the other hand, so that, instead of £100 a week, £150 was necessary, and thus £1,350 instead of £900, then £450 of additional capital would be needed in order to carry on business on the same scale, and this would exert a proportionate pressure on the money market, greater or less according to its condition. If all capital available on it was already taken up, then there would be increased competition for available capital. If a part of it lay idle, then it would be proportionately called into action.
if prices rise, more capital needed

If, on the other hand, the prices of the fluid elements of productive capital rose by half, £150 a week would be needed instead of £100 — so £1,350 instead of £900. £450 of additional capital would be needed to keep the business running at the same scale, and depending on the state of the money market, this would put a greater or lesser strain on it. If all the capital available on the market were already spoken for, competition for available capital would intensify. If some of it were lying idle, that idle capital would now be drawn into use.

But there can also be a third case, when, with a given scale of production, given velocity of turnover and given prices of the elements of fluid productive capital, the price of the products of business X falls or rises. If the price of the commodities supplied by business X falls, then the price of its commodity capital of £600, which it is constantly casting into circulation, sinks to £500, for example. Thus a sixth of the value of the capital advanced does not return from the circulation process (the surplus-value concealed in the commodity capital is left out of consideration here); it is lost in it. But since the value or price of the elements of production remains the same, this reflux of £500 is only sufficient to replace five sixths of the capital of £600 engaged in the production process. £100 of additional money capital must be advanced, therefore, if production is to be continued on the same scale.
a third case: the output price

There is also a third possibility. With the scale of production fixed, the speed of turnover unchanged, and the price of the fluid elements of productive capital unchanged, the price of what business X actually sells — its own products — could still rise or fall.

M–A merges
falling output price: money runs short

Say the price of the goods business X delivers falls. Then the price of its commodity capital of £600 — the amount it constantly throws into circulation — drops, say, to £500 (the surplus value locked up in that commodity capital doesn't come into it here). A sixth of the value of the advanced capital fails to flow back from the circulation process; it is simply lost there. But since the value, or price, of the elements of production stays the same, this reflux of £500 is only enough to replace five-sixths of the £600 capital constantly employed in production. So £100 of additional money capital would have to be laid out to keep production going at the same scale.

Conversely, if the price of the products of business X rose, then the price of the commodity capital would rise from £600 to, say, £700. A seventh of its price, £100, does not derive from the production process, was not advanced to it, but rather flows in from the circulation process. But still only £600 is needed to replace the productive elements, and so £100 is set free.
rising output price: money set free

The reverse case: if the price of business X's products rose, the price of its £600 commodity capital might rise to, say, £700. A seventh of that price — £100 — doesn't come out of the production process at all; it was never advanced there, but comes purely from the circulation process. Yet only £600 is needed to replace the elements of production. So £100 is set free.

The reason why in the first case the turnover period is reduced or prolonged, and in the second case the prices of raw materials and labour, in the third case the prices of the products supplied, rise or fall, does not belong within the orbit of our investigation so far.
outside this inquiry: why prices shift

Why the turnover period shortens or lengthens in the first case, why the prices of raw material and labour rise or fall in the second, or why the prices of the delivered products rise or fall in the third — none of that belongs to the inquiry we've been conducting.

What does belong here, however, is this:
what does belong here

But this does belong here:

Case I. Scale of production remaining the same, constant prices of elements of production and products; change in the period of circulation and hence in the turnover period.
On the assumptions of our example, one ninth less total capital is needed as a result of the reduction in the circulation period, so that this capital is reduced from £900 to £800, and £100 in money capital is precipitated out.
shortening turnover time frees £100

Under the assumptions of our example, shortening the circulation period means a ninth less total capital needs to be advanced — bringing it down from £900 to £800, and setting free £100 of money capital.

Business X continues to supply the same six-weekly product with the same value of £600, and, since work continues uninterruptedly throughout the year, it turns out in fifty-one weeks the same quantity of products, with a value of £5,100. Thus as far as the quantity and price of the product that the business casts into circulation is concerned, no change takes place, and so neither is there a change in the terms on which it is put on the market. But £100 is precipitated, since by reducing the circulation period the process can be completed with a capital advance of £800, instead of £900 as previously. The £100 of capital that has been precipitated exists in the form of money capital. But this is in no way the same part of the capital advanced that always had to function in the form of money capital. Let us suppose that, of the fluid capital I = £600 that was advanced, four fifths was always laid out on materials of production, making £480, and ⅕ = £120 on wages. Capital II = £300 must therefore be similarly divided into ⅘ = £240 for material elements of production and ⅕ = £60 for wages. The capital laid out on wages must always be advanced in the money form. As soon as the commodity product, to the sum of £600, has been transformed back into the money form, has been sold, £480 of it can be transformed into material elements of production (into a productive stock), but £120 maintains its money form, to serve for six weeks' payment of wages. This £120 is the minimum part of the returned capital of £600 which must always be replaced and renewed in the form of money capital, and hence must always be present as a part of the capital advanced which functions in the money form.
same output, smaller advance needed

Business X still delivers the same six-weekly output worth £600 as before, and since work carries on without a break through the year, it delivers the same total quantity over 51 weeks, worth £5,100. So nothing changes in the quantity or the price of the product it throws into circulation, nor in the timing of when it puts that product on the market. Yet £100 has been set free, because shortening the circulation period now lets the process run on only £800 of advanced capital instead of the previous £900. The £100

M–A merges
the £100 isn't the wage minimum

of set-free capital exists in the form of money capital. But it is by no means the part of the advanced capital that has to keep functioning permanently in the form of money capital. Suppose that of the £600 advanced fluid capital I, four-fifths — £480 — is constantly laid out on materials of production, and one-fifth — £120 — on wages: £80 a week on materials, £20 a week on wages. Capital II, £300, must be split the same way: four-fifths, £240, for materials, one-fifth, £60, for wages. Capital laid out on wages must always be advanced in money form. As soon as the commodity product worth £600 is reconverted into money — sold — £480 of it can be turned into materials of production (into productive stock), but £120 keeps its money form, held back to pay six weeks' wages. That £120 is the minimum of the returning £600 capital that must always be renewed and replaced in the form of money capital — it must always be there, permanently, as the part of the advanced capital functioning in money form.

Now if, of the £300 that is periodically set free for three weeks, and is also divisible into a productive stock of £240 and wages of £60, £100 is precipitated out in the form of money capital as a result of the reduced circulation time, being completely withdrawn from the turnover mechanism, the question arises: where does the money for this £100 money capital come from? Only a fifth part of it consists of the money capital periodically set free within the turnovers. The remaining ⅘, =£80, has already been replaced by additional productive stock of the same value. By what means is this additional productive stock transformed into money, and where does the money for this conversion come from?
where does the £100 come from

Now, of the £300 that is periodically set free every three weeks — itself splittable the same way into £240 of productive stock and £60 of wages — shortening the circulation time throws £100 clean out of the turnover mechanism, set free in the form of money capital. Where does the money for this £100 of money capital come from? Only a fifth of it is money capital that was already being periodically set free within the ordinary turnovers. But four-fifths of it — £80 — has already been replaced by additional productive stock of the same value. So how does this additional stock get converted into money, and where does the money for that conversion come from?

If the reduction in the circulation time has already taken place, then only £400 out of the above £600, instead of £480, is transformed back into a production stock. The remaining £80 is kept in its money form and composes, together with the above £20 for wages, the £100 of capital precipitated. Even though this £100 is derived from the circulation sphere by the sale of the £600 commodity capital, and is now withdrawn from this, in so far as it is not laid out again on wages and materials of production, it should not be forgotten that, in the money form, it is once more in the same form as that in which it was originally cast into circulation. At the beginning, £900 in money was laid out on production stock and wages. In order to keep the same production process going, only £800 is now needed. The £100 thus precipitated out in the money form now constitutes a new money capital seeking investment, a new element on the money market. Certainly, it already existed periodically in the form of money capital set free, and in the form of superfluous productive capital, but these latent states were themselves conditions for the accomplishment of the process, as preconditions of its continuity. Now they are no longer needed, and therefore form new money capital and a component of the money market, even though they are in no way either a superfluous element of the existing social money stock (since they existed at the start of the business and were cast into circulation by it) or a newly accumulated hoard.
the same £100, a new job

Once the circulation time has actually shortened, only £400 of the £600 is reconverted into productive stock, instead of £480. The remaining £80 is held fast in its money form, and together with the £20 for wages makes up the £100 of set-free capital. It's true that this £100 comes out of circulation by way of the purchase of the £600 commodity capital, and is now withdrawn from circulation because it isn't laid out again on wages and materials of production — but it's worth remembering that, in money form, it is back in exactly the form in which it was originally thrown into circulation. Originally, £900 in money was laid out on productive stock and wages. To carry out the very same production process, only £800 is needed now. The £100 set free in money form by this now forms a new money capital looking for somewhere to invest — a new component of the money market. It's true that this £100 was already found, periodically, earlier on, in the form of freed money capital and of additional productive capital — but those earlier, temporary states were themselves a condition for carrying out the production process at all, for keeping it continuous. Now they are no longer needed for that, and so they form new money capital and a new component of the money market — even though they are neither an additional element added to the existing social stock of money (since they already existed when the business began, and it was the business itself that threw them into circulation) nor a newly accumulated hoard.

This £100 now really is withdrawn from circulation, in as much as it is a part of the money capital advanced that is no longer applied in the same business. But this withdrawal is only possible because the transformation of commodity capital into money and of this money into productive capital, C'-M-C, has been accelerated by a week, so that the circulation of the money engaged in this process is also similarly accelerated. It has been withdrawn from circulation because it is no longer needed for the turnover of capital X.
freed only because circulation sped up

The £100 is now genuinely withdrawn from circulation, in the sense that it's the part of the advanced money capital no longer employed in this same business. But that withdrawal is only possible because the conversion of commodity capital into money, and of that money back into productive capital — the movement W′–G–W — has been sped up by a week, and so the circulation of the money active in that process has been sped up too. It is withdrawn because it is no longer needed for the turnover of capital X.

M–A merges
borrowed capital: same £100, new hands

We've been assuming the advanced capital belongs to the person using it. If it were borrowed instead, nothing about this would change. With the circulation time shortened, he would now need only £800 of borrowed capital instead of £900. The £100 handed back to the lender still forms £100 of new money capital exactly as before — only now it sits in Y's hands instead of X's, rather than disappearing. Or again: suppose capitalist X gets his £480 worth of materials of production on credit, so that he only has to advance £120 in money himself, for wages. He would now need £80 less of materials on credit — so that £80 becomes excess commodity capital sitting with the capitalist who extends the credit — while capitalist X himself would have set free £20 in money.

Kap. 15
Reduced Productive Stock; Cases II and III
Unit u135 showed release and need running on the price lever within one business. This unit runs the same lever across a chain of businesses and closes the chapter: whatever moves, in time or in price, capital that is freed on one side of a boundary is capital that had to be found on the other — never minted, only moved.
It is assumed here that the capital advanced belongs to the person who uses it. It would however in no way change things if it were borrowed. With the reduction in the circulation time, only £800 of borrowed capital would be needed instead of £900. If £100 were repaid to its lender, this would once again form additional money capital, only it would be in Y's hands instead of X's. Furthermore, if capitalist X receives his material elements of production, to the value of £480, on credit, so that all he has to advance himself in money is £120 for wages, he would now have to obtain on credit an amount of the material elements of production to the value of £80 less, which is therefore so much additional commodity capital for the credit-giving capitalist, while capitalist X has also precipitated out £20 in money.
The additional production stock is now reduced by one third. It was previously £240, four fifths of £300, the additional capital II; it is now only £160, i.e. additional stock for two weeks instead of three. It is now replaced every two weeks instead of every three, but this is stock only for two weeks instead of for three. Purchases, on the cotton market, for instance, are repeated more frequently and in smaller quantities. The same amount of cotton is withdrawn from the market, since the quantity produced remains the same. But the withdrawal is differently distributed in time, and over a longer period. Let us assume, for instance, that there was originally a renewal of the production stock every three months and a subsequent reduction of the renewal time to two months; the annual consumption of cotton is 1200 bales. In the first case, sales were as follows:
the reserve shrinks, restocking speeds up

The extra production stock has now shrunk by a third. It used to be 240 pounds — four-fifths of the 300 pounds of extra capital II — and now it is only 160 pounds. That means enough stock for two weeks instead of three. It gets renewed every two weeks instead of every three, but each renewal is smaller, covering only two weeks' worth instead of three. So purchases — on the cotton market, say — happen more often and in smaller lots. The same total amount of cotton is drawn out of the market, because the total output hasn't changed. What changes is how that withdrawal is spread over time: in smaller pieces, over more separate purchases. Take an example: suppose the period is three months in one case and two months in the other, with a yearly cotton consumption of 1,200 bales. In the first case, the amounts sold are:

1 January 300 bales, leaving 900 bales in the warehouse
1 April 300 " " 600
1 July 300 " " 300
1 October 300 " " —
1 January 300 bales, leaving 900 bales in the warehouse
1 April 300 " " 600
1 July 300 " " 300
1 October 300 " " —
In the second case, on the other hand, we have:
same cotton, spread differently

By contrast, in the second case:

1 January 200 bales sold, leaving 1,000 in the warehouse
1 March 200 " " 800
1 May 200 " " 600
1 July 200 " " 400
1 September 200 " " 200
1 November 200 " " —
1 January 200 bales sold, leaving 1,000 in the warehouse
1 March 200 " " 800
1 May 200 " " 600
1 July 200 " " 400
1 September 200 " " 200
1 November 200 " " —
The money invested in cotton, therefore, only completes its return one month later, in November instead of in October. Thus if, as a result of the reduction in the circulation time, and hence in the turnover, one ninth of the capital advanced, i.e. £100, is precipitated out in the form of money capital, and this £100 is composed of £20 that was a periodic excess money capital for the payment of wages, and £80 that previously existed as a periodic excess production stock for one week, then, corresponding to this £80 reduction in the surplus production stock on the part of the manufacturer, there will be an increased commodity stock in the hands of the cotton broker. The same cotton lies as much longer in the broker's warehouse as a commodity, as it exists for a shorter time as a production stock in the stores of the manufacturer.
the dealer's mirror

So the money laid out on cotton comes back in full a month later — in November instead of October. Suppose the shorter circulation time, and so the shorter turnover, releases a ninth of the capital advanced — 100 pounds — in the form of money capital. Suppose further that this 100 pounds is made up of 20 pounds that periodically sat idle as surplus money for the weekly wage, and 80 pounds that periodically existed as one week's worth of surplus production stock. Then, for that 80 pounds, the smaller surplus stock on the manufacturer's side is matched by a larger stock of goods sitting with the cotton dealer. The very same cotton stays that much longer on the dealer's shelves as unsold goods as it stays shorter on the manufacturer's shelves as raw material waiting to be used.

We previously assumed that the reduction in circulation time in X's business depended on X selling his commodity more quickly, or else being paid for it more quickly, i.e. on a reduction in the length of credit. Such a reduction is based on reducing the time for the sale of the commodity, i.e. for the transformation of commodity capital into money capital, C'-M, the first phase of the circulation process. It could also arise, however, from the second phase M-C, i.e. from a simultaneous alteration either in the working period or in the circulation time of capitals Y, Z, etc., which supply capitalist X with the elements of production of his fluid capital.
two sources of a shorter turnover

Up to now we assumed that the shorter circulation time in business X came from X selling the goods faster, or being paid faster — or, where credit is involved, from a shorter payment term. That kind of shortening traces back to a shorter sale of the goods: the turn of commodity-capital into money-capital, the first phase of the circuit. But the shortening could just as well come from the second phase, the turn of money into goods, and so from a simultaneous change — in the working period, or in the circulation time — of the businesses that supply capitalist X with the raw materials for his circulating capital.

If cotton, coal, etc., for instance, took three weeks with the old means of transport to travel from their place of production or their depot to the site of capitalist X's place of production, then the minimum productive stock that X had to hold pending the arrival of new stocks had to be sufficient for at least three weeks. As long as cotton and coal are in transit, they cannot serve as means of production. They form instead the object of labour for the transport industry and the capital employed in it, and commodity capital in circulation for the coal producer or the cotton broker. Now let improved means of transport reduce the journey to two weeks. The production stock can then be transformed from a three-week supply to one of two weeks. An additional capital of £80 that was advanced is now set free, and so is £20 for wages, because the capital of £600 completes its turnover and returns one week sooner.
goods in transit aren't yet usable

Take an example: suppose cotton or coal used to spend three weeks travelling from where it is produced or stored to the site of capitalist X's works. Then X's minimum production stock has to last at least three weeks until fresh supplies arrive. While the cotton and coal are in transit, they cannot yet serve as means of production. Instead, at that stage, they form

M–A merges
faster transport frees capital

the raw material of the transport industry — goods being worked on by the capital employed there — and, from the point of view of the coal producer or the cotton seller, commodity-capital still on its way to market. Now suppose transport improves and the journey shrinks to two weeks. The production stock can then shrink too, from a three-week stock to a two-week one. That frees up the 80 pounds of extra capital that had been tied up to cover it, and the 20 pounds tied up for wages as well, because the 600 pounds of turned-over capital now flows back a week sooner.

If on the other hand the working period of the capital that supplies the raw material is reduced (as in the examples given in the previous chapters), then it also becomes possible to replace the raw material in less time. This then permits a reduction in the productive stock, and a shortening in the time between one replacement period and the next.
a shorter working period upstream

Or, going the other way: suppose the working period of the business that supplies the raw material gets shorter (earlier chapters gave examples of this), so that the raw material can be replaced more often. Then the productive stock can shrink, and the gap between one replenishment and the next can shorten too.

If, inversely, the circulation time and hence the turnover period is prolonged, an advance of additional capital is needed. This comes from the pockets of the capitalist himself, if he possesses extra capital. But this will have been invested in some form or other as part of the money market; in order to make it available, it must be prised out from its old form, e.g. shares sold, deposits withdrawn, so that here too there is an indirect effect on the money market. Alternatively, the capitalist has to raise the capital. As far as the part of the capital needed for wages is concerned, in normal circumstances this is always advanced as money capital, and to this extent capitalist X exerts his share of direct pressure on the money market. For the part to be invested in raw materials etc., this is only indispensable if he has to pay cash. If he can get it on credit, then he does not exert a direct influence on the money market, as the additional capital is then advanced directly as a productive stock, and not in the first instance as money capital. In so far as his creditor directly puts the bill received from X back into the money market, has it discounted, etc., this has an indirect, second-hand effect on the money market. But if he uses this bill to meet a debt that he has later to settle, then this additionally advanced capital has neither a direct nor an indirect effect on the money market.
a longer turnover needs fresh capital

If instead the circulation time — and with it the turnover period — gets longer, then extra capital has to be advanced to cover it. It can come out of the capitalist's own pocket, if he has spare capital lying around. But that spare capital will usually be tied up in some other form, as part of the money market, and freeing it up — selling shares, pulling out deposits, and so on — has its own indirect effect on the money market. Or he has to borrow it. The part of the extra capital needed for wages must, under normal conditions, always be advanced as money capital, and it is here that capitalist X puts his own share of direct pressure on the money market. For the part to be spent on raw materials, direct pressure is unavoidable only if he has to pay cash. If he can get the materials on credit, there is no direct effect on the money market at all, because the extra capital is then advanced straight into the production stock rather than first appearing as money capital. If his creditor turns around and throws the bill he got from X back onto the money market — has it discounted, say — then the effect reaches the money market indirectly, at second hand. But if the creditor instead uses that bill to settle some debt of his own falling due later, then this extra capital never touches the money market at all, neither directly nor indirectly.

Case II. Change in price of the materials of production, all other circumstances being unchanged
We have just assumed that, of the total capital of £900, ⅘ = £720 is laid out on material elements of production, and ⅕ = £180 on wages.
the numbers restated

We had assumed a total capital of 900 pounds, laid out as 720 pounds in raw materials and a fifth, 180 pounds, in wages.

If the price of raw materials etc. falls by half, then these require only £240 for the six-week working period, instead of £480, and only £120 in additional capital I I, instead of £240. Capital I is now reduced from £600 to 240+120 = £360, and capital II from £300 to 120 + 60 = £180. The total capital of £900 is reduced to 360 + 1 80 = £540. £360 is thus precipitated.
cheaper materials, smaller capital

Suppose the price of raw materials falls by half. Then the six-week working period only needs 240 pounds instead of 480, and the second, supplementary capital only needs 120 pounds instead of 240. Capital I shrinks from 600 pounds to 240 plus 120, that is 360 pounds. Capital II shrinks from 300 pounds to 120 plus 60, that is 180 pounds. The total capital of 900 pounds shrinks to 360 plus 180, that is 540 pounds. So 360 pounds is set free.

This precipitated money capital, which is now unoccupied and is therefore seeking investment on the money market, is simply a fragment of the capital of £900 originally advanced as money capital which has now become superfluous owing to the fall in price of the elements of production into which it is periodically transformed; that is if the business is not expanded, but rather continued on the old scale. If this fall in price was not due to accidental circumstances (a particularly good harvest, over-supply, etc.), but to an increased productivity in the branch of industry that supplies the raw material, then the unoccupied money capital would be an absolute addition to the money market, an absolute addition to the capital available in the form of money capital, because it has ceased to form an integral component of the capital already invested.
real gain or just displacement?

This set-free capital, now idle and looking for somewhere to go on the money market, is nothing but a slice of the very same 900 pounds originally advanced as money capital. It has become surplus to requirements — assuming the business stays at the same scale rather than expanding — because the price of the raw materials it is periodically turned back into has fallen. Now, if that price fall were not owed to some accidental circumstance (an especially rich harvest, an oversupply, and so on) but to a rise in the productive power of the branch that supplies the raw material, then this money capital would be an outright addition to the money market — to the capital available in the form of money capital generally — because it would no longer form an integral part of the capital already at work in the business.

M–A merges
a loss, sometimes recovered

Now consider a price fall: part of the capital is simply lost and has to be replaced by a fresh advance of money capital. This loss to the seller may be made good again by the buyer. Directly, if the product's market price fell only because of some passing turn of the market and afterward climbs back to its normal level. Indirectly, if the price change was really caused by a change in value — a change that reaches back onto the old product — and if that product then enters another branch of production as an element of production and frees up capital there. In either case, the capital that X lost, and for whose replacement he now leans on the money market, may be supplied to him by his business partners as fresh extra capital. When that happens, nothing new is created — one capital has simply been transferred to another.

Case III. Change in the market price of the product itself
If the price of the product rises, on the other hand, then a portion of capital that was not advanced is appropriated from the circulation sphere. This is not an organic part of the capital advanced in the production process, and if production is not extended it forms precipitated money capital. Though it is assumed here that the prices of the elements of the product were given before the latter entered the market as commodity capital, this price increase could still have been caused by a real change in value, to the extent that this had a retroactive effect, e.g. if raw materials had subsequently risen in value. In this case capitalist X would have profited both on his product, circulating as commodity capital, and on his existing production stock. This profit would then supply him with the additional capital he now needs to carry on his business as a result of the increased prices of the elements of production.
a price rise creates a windfall

Now consider a price rise: a portion of capital that was never advanced at all gets pulled out of circulation as a gain. It was never part of the sum he actually laid out for production, so — as long as production is not expanded — it counts as set-free money capital. Since the prices of the product's elements were fixed before it went to market as commodity-capital, a genuine change in value could be behind this rise, working backward — say the raw materials went up in price afterward. If so, capitalist X gains twice over: on the product still circulating as commodity-capital, and on the production stock he already holds. That gain would hand him exactly the extra capital he now needs, at the new, higher prices of the raw materials, to keep his business running.

Alternatively, the price rise might be only transitory. What one capitalist then needs as extra capital is precipitated out elsewhere to the extent that his product forms an element of production for other branches of business. What the one lost, the other has gained.
what one loses, the other gains

Or the price rise may only be temporary. Whatever becomes necessary as extra capital on capitalist X's side then turns up as capital set free on the other side, wherever his product serves as an element of production for some other branch of business. What the one has lost, the other has gained.