When the call rate is high, which will particularly happen when bank reserves are low, the shifting in loans will be much increased. One bank will have money to lend one day, but the next day will have to call it, to meet heavy demands at the Clearing House, while some other bank will have the surplus funds to lend. The brokers, by bidding up the rate, will tempt the temporary lending even of small surpluses, if their necessities are great. The volume of "all other deposits" and of bank clearings will be swelled by this much beyond ordinary. That this should not be revealed to ordinary statistical tests is due to the fact that speculation tends to fall off at such a time, so that the other factors in the stock exchange operations tend to reduce daily deposits and bank clearings. Mr. Silberling has applied to this problem the technique of a refinement of the correlation method, the method of partial correlation, with the result of confirming this view.[446]

I conclude, therefore, that stock exchange transactions, instead of being undercounted in bank deposits, are very greatly overcounted.[447] The big item that does it is loan transactions between brokers and brokers and between brokers and banks.

The evidence from the Chicago Board of Trade, with reference to the extent of clearings within the exchange there, comes in a letter from the Secretary of the Board of Trade to Professor Taussig. The only clearing house transactions are in connection with "futures." All "spot" transactions are paid in full by check. All futures other than those offset by clearing are paid in full by check. The total amount put through the Clearing House in 1915 was 118 millions, of which the balances paid were 41 millions (saving checks to the extent of 77 millions). This 77 millions is a trifle indeed as compared with the gap of 245 billions we are trying to fill! It is a trifle also as compared with the business done on the Board of Trade. The Secretary estimates that commodities to the value of $375,000,000 actually arrived on the exchange in 1915. On the average, the figure would be $350,000,000. For the Stock Yards "it is approximately the same—last year was $375,000,000. Of fruits, vegetables, poultry, butter, eggs, etc., sold in South Water Street, it is claimed by their statisticians, the value is $350,000,000, or a total of about eleven hundred millions arriving [Italics mine] yearly at this great market place, all of which is paid for by checks, and when the ownership changes, the change of ownership is always paid by check." How many times the goods change hands, cannot be stated on the basis of records of the Board of Trade. The Secretary contents himself with saying that they are "sold and resold many times." We have discussed this, on the basis of reputed figures of the Federal tax on grain futures in 1915, in our chapter on "Volume of Money and Volume of Trade." In any case, it is clear that the 77 millions of checks economized, though absolutely great, is relatively a bagatelle. It is, moreover, more than compensated for by loan transactions. The Secretary estimates that for a sixty-day period, when grain is coming in, from two to four millions will be lent by the banks daily on arriving grain. How great the loan transactions on subsequent sales will be we can only conjecture.

While able to find, then, important cases of trade and speculation which dispense with the use of checks, I cannot find anything of magnitude sufficient to aid Professor Fisher's case, and I find, on the other hand, enormous overcounting in every field where business and banks meet, as well as in the relations of banks to non-commercial depositors.

I conclude, therefore, with reference to the figures of Fisher and Kemmerer[448] for volume of trade, that they are much exaggerated for the base year, and that for every other year they are wholly wrong, both because of their excessive magnitude, and because the index of variation has been wrongly chosen.

The discussion of P, the price-level, in the statistics of Kemmerer and Fisher need not be extended. P, for the equation of exchange, and for the quantity theory, is a weighted average, each price that goes into it being weighted by the number of exchanges involving the commodity of which it is the price. The weighting of P should correspond to the elements in T, the volume of trade, and should vary from year to year, as the elements in T change.[449] Now Kemmerer's P is weighted as follows: wages, 3, security prices, 8, wholesale prices, 89.[450] If our conclusions with reference to the composition of the volume of trade, as developed in the chapter on "Volume of Money and Volume of Trade," are valid, this weighting gives us a P which has no relevance to the equation of exchange. The wholesale items should have a weight of not more than one-sixth of the total for 1909. Certain commodities, as wheat and cotton, in which there is heavy speculation, should be given great weight, and securities should have, probably, the greatest weight of all. If "trade" is to be extended to cover transactions in bills of exchange and loan transactions (as it is by Kemmerer),[451] then P should contain these things, weighted more than all else put together, particularly if call loans are included. The weights should be radically altered from year to year. We should then get a P which would fit the "equation of exchange"—though what else it would be good for is hard to say! The same criticism applies to Fisher's P. It is dominated by wholesale prices.[452] It therefore has no relevance to an equation of exchange in which only one-sixth at the very most of the items are wholesale items. Neither Fisher nor Kemmerer alter their weights in P at all, to correspond to yearly alterations in the composition of T.

As indicia of changes in the absolute value of money, Kemmerer's and Fisher's index numbers, or other index numbers of numerous wholesale prices, with a substantial weighting of wages, are probably better than an index dominated by stocks. Stocks fluctuate more widely than wholesale prices and wages, their values are more affected by variations in business confidence, and by variations in the rate of interest. For measuring the value of money, the index numbers here criticised are very good. But for the purpose for which they are chosen, namely, to fill the equation of exchange, and to measure variations in a price-level of the sort the quantity theory and the equation of exchange are concerned with, they are simply irrelevant. If it were really true that such an index number varied with the quantity of money, then the quantity theory would be effectively disproved!

Now, in general summary of our criticisms of the figures of Kemmerer and Fisher: they have systematically buried New York City, and systematically covered up speculation. All the errors converge in this direction. The indicia of trade cover up speculation and the other things that go on in New York, and other financial centers. The indicia of prices do likewise. Fisher weights New York clearings only 1, while weighting country clearings 5, in his index of variation of check transactions. He also counts New York returns for March 16, 1909, as complete, and gives all of his estimate for non-reporting banks to the country. Kemmerer does not do this, but he does exaggerate the importance of money, as compared with checks, and does not allow the velocity of money to vary at all in his figures, thus getting a much greater constancy in the figure for total circulation of money and checks than is proper, and covering up the flexibility and variability which New York gives to our system.[453] In general, our task in this chapter has been an archæological excavation—we have rediscovered a buried city.