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dity, does not conform to the cost of production in the country from which the commodity comes. Suppose now a change in that cost of production; an improvement, for example, in the process of manufacture. Will the benefit of the improvement be fully participated in by other countries? Will the commodity be sold as much cheaper to foreigners, as it is produced cheaper at home? This question, and the considerations which must be entered into in order to resolve it, are well adapted to try the worth of the theory.

Let us first suppose, that the improvement is of a nature to create a new branch of export: to make foreigners resort to the country for a commodity which they had previously produced at home. On this supposition, the foreign demand for the productions of the country is increased ; which necessarily alters the international values to its advantage, and to the disadvantage of foreign countries, who, therefore, though they participate in the benefit of the new product, must purchase that benefit by paying for all the other productions of the country at a dearer rate than before. How much dearer, will depend on the degree necessary for re-establishing, under these new conditions, the Equation of International Demand. These consequences follow in a very obvious manner from the law of international values, and I shall not occupy space in illustrating them, but shall pass to the more frequent case, of an improvement which does not create a new article of export, but lowers the cost of production of something which the country already exported.

It being advantageous, in discussions of this complicated nature, to employ definite numerical amounts, we shall return to our original example. Ten yards of cloth, if produced in Germany, would require the same amount of labour and capital as twenty yards of linen ; but, by the play of international demand, they can be obtained from England for seventeen. Suppose now, that by a mechanical improvement made in Germany, and not capable of being transferred to England, the same quantity of labour and capital which

produced twenty yards of linen, is enabled to produce thirty. Linen falls one-third in value in the German market, as compared with other commodities produced in Germany. Will it also fall one-third as compared with English cloth, thus giving to England, in common with Germany, the full benefit of the improvement? Or (ought we not rather to say), since the cost to England of obtaining linen was not regulated by the cost to Germany of producing it, and since England, accordingly, did not get the entire benefit even of the twenty yards which Germany could have given for ten yards of cloth, but only obtained seventeen—why should she now obtain more, merely because this theoretical limit is removed ten degrees further off?

It is evident that in the outset, the improvement will lower the value of linen in Germany, in relation to all other commodities in the German market, including, among the rest, even the imported commodity, cloth. If 10 yards of cloth previously exchanged for 17 yards of linen, they will now exchange for half as much more, or 25£ yards. But whether they will continue to do so, will depend on the effect which this increased cheapness of linen produces on the international demand. The demand for linen in England could scarcely fail to be increased. But it might be increased either in proportion to the cheapness, or in a greater proportion than the cheapness, or in a less proportion.

If the demand was increased in the same proportion with the cheapness, England would take as many times 25i yards of linen, as the number of times 17 yards which she took previously. She would expend in linen exactly as much of cloth, or of the equivalents of cloth, as much in short of the collective income of her people, as she did before. Germany, on her part, would probably require, at that rate of interchange, the same quantity of cloth as before, because it would in reality cost her ex actly as much ; 25£ yards of linen being now of the same value in her market, as 17 yards were before. In this case, therefore, 10 yards of cloth for 25J of linen is the rate of interchange which Under these new conditions would restore the equation of international demand ; and England would obtain linen one-third cheaper than before, being the same advantage as was obtained by Germany.

It might happen, however, that this great cheapening of linen would increase the demand for it in England in a greater ratio than the increase of cheapness; and that if she before wanted 1000 times 17 yards, she would now require more than 1000 times 25| yards to satisfy her demand. If so, the equation of international demand cannot establish itself at that rate of interchange; to pay for the linen England must offer cloth on more advantageous terms: say, for example, 10 yards for 21 of linen; so that England will not have the full benefit of the improvement in the production of linen, while Germany, in addition to that benefit, will also pay less for cloth. But again, it is possible that England might not desire to increase her consumption of linen in even so great a proportion as that of the increased cheapness; she might not desire so great a quantity as 1000 times 25J yards: and in that case Germany must force a demand, by offering more than 254 yards of linen for 10 of cloth; linen will be cheapened in England in a still greater degree than in Germany; while Germany will obtain cloth on more unfavourable terms, and at a higher exchange value than before.

After what has already been said, it is not necessary to particularize the manner in which these results might be modified by introducing into the hypothesis other countries and other commodities. There is a further circumstance by which they may also be modified. In the case supposed, the consumers of Germany have had a part of their incomes set at liberty by the increased cheapness of linen, which they may indeed expend in increasing their consumption of that article, but which they may, likewise, expend in other articles, and among others, in cloth or other imported commodities. This would be an additional element in

the international demand, and would modify more or less the terms of interchange.

Of the three possible varieties in the influence of cheapness on demand, which is the more probable—that the demand would be increased more than the cheapness, as much as the cheapness, or less than the cheapness? This depends on the nature of the particular commodity, and on the tastes of purchasers. When the commodity is one in general request, and the fall of its. price brings it within the reach of a much larger class of incomes than before, the demand is often increased in a greater ratio than the fall of price, and a larger sum of money is on the whole expended in the article. Such was the case with coffee, when its price was lowered by successive reductions of taxation; and such would probably be the case with sugar, wine, and a large class of commodities which, though not necessaries, are largely consumed, and in which many consumers indulge when the articles are cheap and economize when they are dear. But it more frequently happens that when a commodity falls in price, less money is spent in it than before: a greater quantity is consumed, but not so great a value. The consumer who saves money by the cheapness of the article, will be likely to expend part of the saving in increasing his consumption of other things: and unless the low price attracts a large class of new purchasers who were either not consumers of the article at all, or only in small quantity and occasionally, a less aggregate sum will be expended on it. Speaking generally, therefore, the third of our three cases is the most probable: and an improvement in an exportable article is likely to be as beneficial (if not more beneficial) to foreign countries, as to the country where the article is produced.

§ 6. Thus far had the theory of international values been carried in the first and second editions of this work. But intelligent criticisms (chiefly those of my friend Mr. William Thornton) and subsequent further investigation, have shewn that the doctrine stated in the preceding pages, though correct as far as it goes, is not yet the complete theory of the subject matter.

It has been shown that the exports and imports between the two countries (or, if we [suppose more than two, between each country and the world) must in the aggregate pay for each other, and must therefore be exchanged for one another at such values as will be compatible with the equation of international demand. That this, however, does not furnish the complete law of the phenomenon, appears from the following consideration: that several different rates of international value., may all equally fulfil the conditions of'] this law.

The supposition was, that England could produce 10 yards of cloth with the same labour as 15 of linen, and Germany with the same labour as 20 of linen; that a trade was opened between the two countries; that England thenceforth confined her production to cloth, and Germany to linen; and, that if 10 yards of cloth should thenceforth exchange for 17 of linen, England and Germany would exactly supply each other's demand: that, for instance, if England wanted at that price 17,000 yards of linen, Germany would want exactly the 10,000 yards of cloth, which, at that price, England would be required to give for the linen. Under these suppositions it appeared, that 10 cloth for 17 linen, would be, in point of fact, the international values.

But it is quite possible that some other rate, such as 10 cloth for 18 linen, might also fulfil the conditions of the equation of international demand. Suppose that at this last rate, England would want more linen than at the rate of 10 for 17, but not in the ratio of the cheapness ; that she would not want the 18,000 which she could now buy with 10,000 yards of cloth, but would be content with 17,500, for which she would pay (at the new rate of 10 for 18) 9722 yards of cloth. Germany, again, having to pay dearer for cloth than when it could be bought at 10 for 17, would probably reduce her consumption to an amount below 10,000

yards, perhaps to the very same number, 9722. Under these conditions the Equation of International Demand would still exist. Thus, the rate of 10 for 17, and that of 10 for 18, would equally satisfy the Equation of Demand: and many other rates of interchange might satisfy it in like manner. It is conceivable that the conditions might be equally satisfied by every numerical rate which could be supposed. There is still, therefore, a portion of indeterminateness in the rate at which the international values would adjust themselves, showing that the whole of the influencing circumstances cannot yet have been taken into the account.

•§ 7. It will he found that to supply this deficiency, we must take into consideration not only, as we have already done, the quantities demanded in each country, of the imported commodities; but also the extent of the means of supplying that demand, which are set at liberty in each country by the change in the direction of its industry.

To illustrate this point it will be necessary to choose more convenient numbers than those which we have hitherto employed. Let it be supposed that in England 100 yards of cloth, previously to the trade, exchanged for 100 of linen, but that in Germany 100 of cloth exchanged for 200 of linen. When the trade was opened, England would supply cloth to Germany, Germany linen to England, at an exchange value which would depend partly on the element already discussed, viz. the comparative degree in which, in the two countries, increased cheapness operates in increasing the demand; and partly on some other element not yet taken into account. In order to isolate this unknown elenient, it will be necessary to make some definite and invariable supposition in regard to the known element. Let us therefore assume, that the influence of cheapness on demand conforms to some simple law, common to both countries and to both commodities. As the simplest and most convenient, let us suppose, that in both countries any given increase of cheapness produces an exactly proportional increase of consumption: or, in other words, that the value •expended in the commodity, the cost incurred for the sake of obtaining it, Is always the same, whether that cost affords a greater or a smaller quantity of the commodity.

Let us now suppose that England, previously to the trade, required a million of yards of linen, which were worth, at the English cost of production, a million yards of cloth. By turning all the labour and capital with which that linen was produced, to the production of cloth, she would produce for exportation a million yards of cloth. Suppose that this is the exact quantity which Germany is accustomed to consume. England can dispose of all this cloth in Germany at the German price; she must consent indeed to take a little less until she has driven the German producer from the market, but as soon as this is effected, she can sell her million of cloth for two millions of linen; being the quantity that the German clothiers are enabled to make, by transferring their whole labour and capital from cloth to linen. Thus England would gain the whole benefit of the trade, and Germany nothing. This would be perfectly consistent with the equation of international demand: since England (according to the hypothesis in the preceding paragraph) now requires two millions of linen (being able to get them at the same co&j; at which she previously obtained only one), while the prices in Germany not being altered, Germany requires as before exactly a million of cloth, and can obtain it by employing the labour and capital set at liberty from the production of cloth, in producing the two millions of linen required by ^England.

'1 hus far, we have supposed that the additional cloth which England could make, by transferring to cloth the whole of the capital previously employed in making linen, was exactly sufficient to supply the whole of Germany's existing demand. But suppose •next that it is more than sufficient.

Suppose that while England could make with her liberated capital a million yards of cloth for exportation, the cloth which Germany had heretofore required was 800,000 yards only, equivalent at the German cost of production to 1,600,000 yards of linen. England therefore could not dispose of a whole million of cloth in Germany at the German prices. Yet she wants, whether cheap or dear (by our supposition), as much linen as can be bought for a million of cloth: and since this can only be obtaiued from Germany, or by the more expensive process of production at home, the holders of the million of cloth will be forced by each other's competition to offer it to Germany on any terms (short of the English cost of production) which will induce Germany to take the whole. What terms these would be, the supposition we have made enables ua exactly to define. The 800,000 yards of cloth which Germany consumed, cost her the equivalent of 1,600,000 linen, and that invariable cost is what she is willing to expend in cloth, whether the quantity it obtains for her be more or less. England, therefore, to induce Germany to take a million of cloth, must offer'it for 1,600.000 of linen. The international values will thus be 100 cloth for 160 linen, intermediate between the ratio of the costs of production in England and that of the costs of production in Germany: and the two countries will divide the benefit of the trade, England gaining in the aggregate 600,000 yards of linen, and Germany being richer by 200,000 additional yards of cloth.

Let us now stretch the last supposition still farther, and suppose that the cloth previously consumed by Germany was not only less than the million yards which England is enabled to furnish by discontinuing her production of linen, but less in the full proportion of England's advantage in the production, that is, that Germany only required half a million. In this case, by ceasing altogether to produce cloth, Germany can add a million, but a million only, to her production of linen. and this million being the equivalent of what the half million previously cost her, is all that she can be induced by any degree of cheapness to expend in cloth. . England will be forced by her own competition to give a whole million of cloth for this million of linen, just as she was forced in the preceding case to give it lor 1,600,000. But England could have produced at the same cost a million yards of linen for herself. England therefore derives, in this case, no advantage from the international trade. Germany gains the whole; obtaining a million of cloth instead of half a million, at what the half million previously cost her. Germany, in short, is, in this third case, exactly in the same situation as England was in the first case; which may easily be verified by reversing the figures.

As the general result of the three cases, it maybe laid down as a theorem, that under the supposition we have made of a demand exactly in proportion to the cheapness, the law of international value will be as follows :—

The whole of the cloth which England can make with the capital previously devoted to linen, will exchange for the whole of the linen which Germany can make with the capital previously devoted to cloth.

Or, still more generally,

The whole of the commodities which the two countries can respectively make lor exportation, with the labour and capital thrown out of employment by importation, will exchange against one another.

This law, and the three different possibilities arising from it in respect to the division of the advantage, may be conveniently generalized by means of algebraical symbols, as follows:—

Let the quantity of cloth which England can make with the labour and capital withdrawn from the production of linen, be = n.

Let the cloth previously required by Germany (at the German cost of production) be = m.

Then n of cloth will always exchange for exactly 1m of linen.

'Consequently if n = To, the whole advantage will be on the side of England.

If n = 2m, the whole advantage will be on the side of Germany.

If n be greater than m, but less than 1m, the two countries will share the advantage; England getting 1m of linen where she before got only n; Germany getting n of cloth where she before got only m.

It is almost superfluous to observe that the figure 2 stands where it does, only because it is the figure which expresses the advantage of Germany over England in linen as estimated in cloth, and (what is the same thing) of England over Germany in cloth as estimated in linen. If we had supposed that in Germany, before the trade, 100 of cloth exchanged for 1000 instead of 200 of linen, then n (after the trade commenced) would have exchanged for 10m instead of 2m. If instead of 1000 or 200 we had supposed only 150, n

would have exchanged for only —m.

If (in fine) the cost value of cloth (as estimated in linen) in Germany, exceeds the cost value similarly estimated in England, in the ratio of p to cj, then will n, after the opening of the trade,

exchange for S-rn.* 1

§ 8. We have now arrived ot what seems a law of International Values, of great simplicity and generality. But we have done so by setting out from a

* It may be asked, why we have supposed the number » to have as its extreme limits,

m and 2m (or —m)? why may not n be less 9

than m, or greater than 2m; and if so, what will be the result?

This we shall now examine, and when we do so it will appear that n is always, practically speaking, confined within these limits.

Suppose for example that n is less than m; or, reverting to our former figures, that the million yards of cloth, which England can make, will not satisfy the whole of Germany's pre-existing demand; that demand being (let us suppose) for 1,200,000 yards. It would then, at first sight, appear that England would supply Germany with cloth up to the extent of a million; that Germany would continue to supply herself with the remaining 200,000 by home production; that this

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