328 Capital.
ity-capital is not considered here), and it is lost in circula- tion. But since the value, or price, of the elements of pro- duction remains the same, this reflux of 500 p. st. suffices only to replace 5-6 of the capital of 600 p. st. engaged in the process of production. It requires therefore an addition of 100 p. st. of money-capital to continue production on the same scale.
Vice versa, if the price of the product of the business of X were to rise, then the price of the commodity-capital of 600 p. st. would be increased, say to 700 p. st. One seventh of this price, or 100 p. st., does not come from the process of production, has not been advanced in it, but flows from the process of circulation. But only 600 p. st. are needed to replace the elements of production. Therefore 100 p. st. are set free.
It does not fall within the scope of the present analysis to ascertain why, in the first case, the period of turn-over is abbreviated or prolonged, why, in the second case, the prices of raw materials and auxiliaries, in the third case, those of the products supplied by the business, rise or fall.
But the following points fall under this analysis: I. Case. — A Change in the Period of Circulation, and thus of Turn-Over, while the Scale of Produc- tion, and the Prices of the Elements of Produc- tion and of Products Remain the Same.
According to the assumptions of our example, one ninth less of the advanced total capital is needed after the contrac- tion of the period of circulation, so that the total capital is reduced from 900 to 800 p. st. and 100 p. st. of money- capital are released.
The business of X supplies the same as ever a six weeks' product of the same value of 600 p. st., and as work con- tinues without interruption during the entire year, the same quantity of products, valued at 5,100 p. st., is supplied in 51 weeks. There is, then, no change so far as the quan- tity and price of the product thrown into circulation by this business are concerned, nor in the terms of time in which it throws its product on the market. But 100 p. st.
Influence of the Time of Circulation. 329 are released, because the requirements of the productive process are satisfied with 800 instead of 900 p. st., after the contraction of the period of circulation. The released 100 p. st. of capital exist in the form of money-capital. But they do not by any means represent that portion of the advanced capital, which would have to serve continually in the form of money-capital. Let us assume that 4-5, or 480 p. st. of the advanced circulating capital are continually invested in material elements of production, and 1-5, or 120 p. st., in labor-power. Then the weekly investment in materials of production would be 80 p. st., and in labor- power 20 p. st. Of course, capital II, of 300 p. st., must also be divided into 4-5, or 240 p. st., for materials of pro- duction, and 1-5, or 60 p. st., for wages. The capital in- vested in wages must always be advanced in the form of money. As soon as the commodity-product to the amount of 600 p. st. has been reconverted into money, 480 p. st. of it may be transformed into materials of production (pro- ductive supply), but 120 p. st. retain their money-form, in order to serve in the payment of wages for six weeks. These 120 p. st. are the minimum of the returning capital of 600 p. st., which must always be renewed in the form of moneycapital and so replaced, and therefore this minimum must always be kept on hand as that portion of the advanced capital which serves in its money-form.
Now, if 100 p. st. of the capital of 300 p. st. periodically released for three weeks, and likewise divided into 240 p. st. of a productive supply and 60 p. st. of wages, are entirely eliminated in the form of money-capital by the contraction of the circulation time, if they are completely removed from the mechanism of the turn-over, where does the money for these 100 p. st. of money-capital come from? This amount consists only one fifth of money-capital periodically released within the turn-overs. But four fifths, or 80 p. st., are al- ready replaced by an additional productive supply of the same value. In what manner is this additional productive supply converted into money, and whence comes the money for this conversion?
If the contraction of the period of circulation has become a fact, then only 400 p. st. of the above 600, instead of 480, 330 Capital.
are reconverted into a productive supply. The other 80 p. st. are retained in their money-form and constitute, together with the above 20 p. st. for wages, the 100 p. st. eliminated from the process. Although these 100 p. st. come from the circulation by means of the purchase of the 600 p. st. of commodity-capital and are now withdrawn from it, because they are not re-invested in wages and ma- terials of production, yet it must not be forgotten that, in their money-form, they are once more in that form in which they were originally thrown into circulation. In the beginning 900 p. st. were invested in a productive supply and wages. Now only 800 p. st. are required in order to carry along the same productive process. The 100 p. st. thus withdrawn in money now form a new money-capital seek- ing investment, a new constituent part of the money-mar- ket. True, they were previously periodically in the form of released money-capital and of additional productive capi- tal, but these latent forms were the conditions for the pro- motion and continuity of the process of production. Now they are no longer needed for this purpose, and for this reason they form a new money-capital and a constituent part of the money-market, although they are neither an additional element of the existing social money-supply (for they existed at the beginning of the business and were thrown by it into the circulation ), nor a newly accumulated hoard.
These 100 p. st. are now indeed withdrawn from circula- tion inasmuch as they are a portion of the advanced money- capital and are no longer employed in the same business. But this withdrawal is possible only because the con- version of the commodity-capital into money, and of this money into productive capital, in the metamorphosis C — M — C, is accelerated by one week, so that the circula- tion of the money engaged in this process is likewise has- tened. This sum is withdrawn from circulation, because it is no longer needed for the turn-over of the capital of X.
Tt has been assumed here, that the capital belongs to him who invests it. But if he had borrowed it, nothing would be altered in these conditions. With the contraction of the Influence of the Time of Circulation. 331 period of circulation, he would need only 800 p. st. of bor- rowed money instead of 900. This sum of 100 p. st., if re- turned to the lender, forms nevertheless 100 p. st. of new money-capital, only in the hands of Y instead of X. If the capitalist X receives his materials of production to the amount of 480 p. st. on credit, so that he has only to ad- vance 120 p. st. for wages out of his own pocket, then he would now have to purchase 80 p. st.'s worth of goods less on credit, so that this sum would constitute an excess of commodity-capital for the capitalist giving it on credit, while the capitalist X would have released 20 p. st. of his money.
The additional supply for production is now reduced by one-third. It consisted of 240 p. st.'s worth of goods, con- stituting four-fifths of additional capital II of 300 p. st., but now it consists only of 160 p. st.'s worth of goods. It is an additional productive supply for 2 instead of 3 weeks. It is now renewed every 2 weeks, instead of every 3, but only for the next 2 instead of the next 3 weeks. The pur- chases, for instance, on the cotton market, are repeated more frequently and in smaller portions. The same portion of cotton is withdrawn from the market, for the quantity of the product remains the same. But the withdrawal is dis- tributed differently in time, extending over a longer period. Take it that it is a question of 3 months or 2. If the an- nual consumption of cotton amounts to 1,200 bales, the sales in the first case will be: January 1, 300 bales, remaining in storage 900 bales.
April 1, 300 bales, remaining in storage 600 bales.
July 1, 300 bales, remaining in storage 300 bales.
October 1, 300 bales, remaining in storage 0 bales.
But in the second case, the situation would be: January 1, sold 200, remaining in storage 1,000 bales. Murch 1, sold 200, remaining in storage 800 bales.
May 1, sold 200, remaining in storage 600 bales.
July 1, sold 200, remaining in storage 400 bales.
September 1, sold 200, remaining in storage 200 bales. November 1, sold 200, remaining in storage 0 bales.
In other words, the money invested in cotton flows back completely one month later, in November instead of Octo- 332 Capital.
ber. If, therefore, one-ninth of the advanced capital, or 100 p. st., is eliminated in the form of money by the con- traction of the period of circulation, and if these 100 p. st. are composed of 20 p. st. of periodically released money- capital for the payment of wages, and of 80 p. st. existing periodically as a released productive supply for one week, then the reduction of the productive supply in the hands of the manufacturer, so far as these 80 p. st. are concerned, corresponds to an increase of the cotton supply in the hands of the cotton dealer. The same cotton retains as much longer in his warehouse the form of a commodity as it stays a shorter time in the hands of the manufacturer under the form of a productive supply.
Hitherto we assumed that the contraction of the time of circulation was due to the fact that X sold his articles more rapidly, received his money for them in a shorter time, or, in the case of credit, that his time of payment was reduced. In that case, the contraction was attributed to the sale of the commodities, to the conversion of commodity-capital into money-capital, C — M, the first phase of the process of circulation. But it might also be due to the second phase, M — C, and hence to a simultaneous change, either in the working period, or in the time of circulation of the capitals Y, Z, etc., which supply the capitalist X with the elements of production of his circulating capital.
For instance, if cotton, coal, etc., with the old methods of transportation, are three weeks in transit from their place of production or storage to the location of the factory of the capitalist X, then the minimum supply of X up to the ar- rival of new transports must last for three weeks. So long as cotton and coal are in transit, they cannot serve as means of production. They are then rather an object of labor in the transportation industry and of the capital invested in it, they represent for the producer of coal or the dealer in cot- ton a commodity-capital in process of circulation. Now let improvements in transportation reduce the transit to two weeks. Then the productive supply can be transformed from a three-weekly into a fortnightly supply. This re- leases the additional capital of 80 p. st. set aside for the Influence of the Time of Circulation. 333 purchase of the weekly supply, and likewise the 20 p. st. for wages, because the turned-over capital of 600 p. st. returns one week earlier.
On the other hand, if the working period of the capi- tal invested in raw materials is contracted (examples of this case were given in the preceding chapter), so that the possibility of renewing the productive supply in a shorter time is given, then the productive supply may be reduced, the interval between the periods of renewal being shortened.
If, vice versa, the time of circulation and thus the period of turn-over are prolonged, then advance of additional capital is necessary. This must come out of the pockets of the capi- talist himself, provided he has any additional capital. If he has, it will be invested in some way, in some portion of the money-market. In order to make it available, it must be detached from its old form, for instance, stocks must be sold, deposits withdrawn, so that there is indirectly an effect on the money-market, also in this case. Or, he must borrow it. As for that portion of the additional capi- tal which is to be invested in wages, it must under normal conditions always be advanced in the form of money, and the capitalist X exerts to that extent his share of a direct pressure on the money-market. But so far as that portion is concerned which must be invested in materials of produc- tion, money is indispensable only if he must pay for them in cash. If he can get them on credit, this does not exert any direct influence on the money-market, because the ad- ditional capital then is directly advanced in the form of a productive supply, not in the first instance in money. But if the lender throws the note received from X directly on the market and discounts it, this would to that extent in- fluence the money-market indirectly.
II. CASE. — A Change in the Price of Materials of Pro- duction, All Other Circumstances Remaining the Same.
We just assumed that the total capital of 900 p. st. was four-fifths invested in materials of production (720 p. st.) and one-fifth in wages (180 p. st.).
334 Capital.
If the price of the materials of production drops by one- half, then a working period of 6 weeks requires only 240 p. st. instead of 480 for their purchase, and an additional capital of only 120 p. st. instead of 240 p. st. Capital I is then reduced from 600 p. st. to 240 plus 120, or 360 p. st., and capital II from 300 to 120 plus 60, or 180 p. st. The total capital of 900 is therefore reduced to 360 plus 180, or 540 p. st. A sum of 360 p. st. is eliminated.
This eliminated and now unemployed capital, which seeks investment in the money-market, is nothing but a portion of the originally advanced capital of 900 p. st. This portion has become superfluous by the fall in the price of the materials of production, so long as the business is carried along on the same scale and not expanded. If this fall in prices is not due to accidental circumstances, such as a rich harvest, over-supply, etc., but to an increase of productive power in the line which supplies the raw materials, then this money-capital is an absolute addition to the money- market, or in general to the capital available in the form of money-capital, because it no longer constitutes an inte- gral portion of the capital already invested.
III. CASE. — A Change in the Market Price of the Products Themselves.
In this case, a fall in prices means a loss of a portion of capital, which must be made good by a new advance of additional money-capital. This loss of the seller may be recovered by the buyer. It is recovered by the buyer direct- ly, if the market price of the product has fallen merely through an accidental fluctuation of the market and rises once more to its normal level. It is recovered indirectly, if the change of prices is caused by a change of value react- ing on the product, and if this product passes as an element of production into another sphere of production and there releases capital to that extent. In either case, the capital lost by X, for the replacement of which he touches the money-market, may be introduced by his business friends as a new additional capital. Then there is a simple transfer of capital.
Influence of the Time of Circulation. 335 If, on the other hand, the price of the product rises, then a portion of the capital which was not advanced is taken away from the circulation. This is not an organic portion of the capital advanced in this process of production and constitutes, therefore, eliminated money-capital, unless pro- duction is expanded. As we assumed that the prices of the elements of production were fixed before the product came upon the market, an actual change of value might have caused the rise of prices to the extent that it is retroac- tive, causing a subsequent rise in the price of raw material. In such an eventuality, the capitalist X would realize a gain on his product circulating as a commodity-capital and on his available productive supply. This gain would give him an additional capital, which would be needed for the continuation of his business with the new and higher prices of the elements of production.
Or, the rise of prices is but temporary. To the extent that additional capital is then needed on the side of the capitalist X, the same amount is released on another side, masmuch as his product is an element of production for other lines of business. What the one has lost, the other wins.
636 Capital.
CHAPTER XVI.
THE TURN-OVER OF THE VARIABLE CAPITAL.
I. The Annual Rate of Surplus- Value.
We start out with a circulating capital of 2500 p. st., four- fifths of which, or 2000 p. st., are constant capital (ma- terials of production), and one-fifth of which, or 500 p. st., is variable capital invested in wages.
Let the period of turn-over be 5 weeks; the working pe- riod 4 weeks, the period of circulation 1 week. Then capital I is 2000 p. st., consisting of 1600 p. st. of constant capital and 400 p. st. of variable capital; capital II is 500 p. st., 400 of which are constant and 100 variable. In every working week, a capital of 500 p. st. is invested. In a year of 50 weeks an annual product of 50 times 500, or 25,000 p. st., is manufactured. The capital I, continuously invested in one working period and amounting to 2000 p. st., is turned over 12 y2 times. 12 V2 times 2000 make 25,000 p. st. Of this sum of 25,000 p. st., four-fifths, or 20,000 p. st., are constant capital invested in materials of production, and one-fifth, or 5000 p. st., is variable capital invested in wages. The total capital of 2500 p. st. is turned over 10 times, which is 25,000 divided by 2500.
The variable circulating capital expended in production can serve afresh in the process of circulation only to the extent that the product in which its value is reproduced is sold, converted from a commodity-capital into a money- capital, in order to be once more expended in the payment of labor-power. But the same is true of the constant circu- lating capital invested in production for materials, the value of which reappears as a portion of the value of the product. That which is common to these two portions of the circula- ting capital, the variable and constant capital, and which dis- tinguishes them from the fixed capital, is not that the value transferred from them to the product is circulated by the commodity-capital, circulated as a commodity through the The Turn-Over of the Variable Capital. 337 circulation of the product. For one portion of the value of the product, and thus of the product circulating as a commodity, the commodity-capital, always consists of the wear of the fixed capital, that is to say, of that portion of the value of the fixed capital which is transferred to the product during the process of production. The difference is rather this: The fixed capital continues to serve in the process of production in its old natural form for a longer or shorter cycle of periods of turn-over of the circulating capital (which consists of constant circulating plus variable circulating capital), while every single turn-over is conditioned on the reproduction of the entire circulating capital passing from the sphere of production in the form of commodity-capital into the sphere of circulation. The constant and variable cir- culating capital both have in common the first phase of the circulation, C — M\ But in the second phase they separate. The money, into which the commodity is reconverted, is in part transformed into a productive supply (constant cir- culating capital). According to the different terms of pur- chase of this material, a portion may be sooner, another later, converted from money into materials of production, but finally it is wholly consumed that way. Another portion of the money realized by the sale of the commodity is held in the form of a money-supply, in order to be gradual- ly expanded in the payment of labor-power incorporated in the process of production. This portion constitutes the variable circulating capital. Nevertheless the entire repro- duction of either portion is due to the turn-over of the cap- ital, to their conversion into a product, from a product into a commodity, from a- commodity into money. This is the reason why, in the preceding chapter, the turn-over of the circulating constant and variable capital was discussed sep- arately and simultaneously without any regard to the fixed capital.
For the purposes of the question which we have to dis- cuss now, we must go u step farther and proceed with the variable portion of the circulating capital as though it con- stituted the circulating capital by itself. In other words, 338 Capital.
we leave out of consideration the constant circulating capital which is turned over together with it.
A sum of 2500 p. st. has been advanced, and the value of the annual product is 25,000 p. st. But the variable por- tion of the circulating capital is 500 p. st. The variable capital contained in 25,000 p. st. therefore amounts to 25,- 000 divided by 5, or 5000 p. st. If we divide these 5000 p. st. by 500, we find that 10 is the number of turn-overs, just as it is in the case of the total capital of 2500 p. st.
Here, where it is only a question of the production of sur- plus-value, it is quite correct to make this average calcula- tion, according to which the value of the annual product is divided by the value of the advanced capital, not by the value of that portion of this capital which is employed con- tinually in one working period (in the present case not by 400, but by 500, not by capital I, but by capital I plus II). We shall see later, that, from another point of view, this is not quite exact. In other words, this calculation serves well enough for the practical purposes of the capitalist, but it does not express exactly or appropriately all the real circum- stances of the turn-over.
We have hitherto ignored one portion of the commodity- capital, namely the surplus-value contained in it, which was produced during the process of production and incorporated in the product. We have now to direct our attention to this.
Take it, that the variable capital of 100 p. st. expended weekly produces a surplus-value of 100%, or 100 p. st., then the variable capital of 500 p. st., advanced for a period of turn-over of 5 weeks, produces 500 p. st. of surplus^ value, in other words, 'One-half of the. working day 'consists of surplus-labor.
If 500 p. st. of variable capital produce a surplus-value of 500 p. st., then 5000 p. st. produce ten times 500, or 5000 p. st. of surplus-value. The proportion of the total quanti- ty of surplus-value produced during one year to the val- ue of 'the advanced variable capital is what we call the an- nual rate of surplus-value. In the present case, this is as 5000 to 500, or 1000%. If we analyze this rate more closely, we find that it is equal to the rate of surplus-value The Turn-Over of the Variable Capital. 339 produced by the advanced variable capital during one peri- od of turn-over, multiplied by the number of turn-overs of the variable capital (which coincides with the number of turn-overs of the entire circulating capital).
The variable capital advanced in the present case for one period of turn-over is 500 p. st. The surplus-value pro- duced during this period is likewise 500 p. st. The rate of surplus-value for one period of turn-over is, therefore, as 500 s to 500 v, or 100%. This 100%, multiplied by 10, the number of turn-overs in one year, makes 1000%, a rate of This applies to the annual rate of surplus-value. As for the quantity of surplus-value obtained during a certain period of turn-over, it is equal to the value of the variable capital advanced for this period, in the present case 500 p. St., multiplied by the rate of surplus-value, in the present case, therefore, 500 times 100-100, or 500 times 1, or 500 p. st. If the advanced variable capital were 1500 p. st., with the same rate of surplus-value, then the quantity of surplus- value would be 1500 times 100-100, or 1500 p. st.
The variable capital of 500 p. st., which is turned over ten times per year, producing a surplus-value of 5000 p. st., and thus having a rate of surplus-value amounting to 1000%, shall be called capital A.
Now let us assume that another variable capital, B, of 5000 p. st., is advanced for one whole year (that is to say for 50 working weeks), so that it is turned over only once a year. "We assume furthermore that, at the end of the year, the product is paid for on the same day that it is finished, so that the money-capital, into which it is converted, flows back on the same day. The circulation time is then zero, the period of turn-over equal to the working period, that is to say, one year. As in the preceding case, so there is now in the labor-process of each week a variable capital of 100 p. st., or of 5000 p. st. in 50 weeks. Let the rate of surplus- value be likewise the same, or 100%, that is to say, one-half of the working day of the same length as before consists of surplus-labor. If we study a period of 5 weeks, then the ad- vanced variable capital is 500 p. st., the rate of surplus- value 340 Capital.