§ 3.From what precedes, it might for a moment be supposed, that all the goods on sale in a country at any one time, are exchanged for all the money existing and in circulation at that same time: or in other words, that there is always in circulation in a country, a quantity of money equal in value to the whole of the goods then and there on sale. But this would be a complete misapprehension. The money laid out is equal in value to the goods it purchases; but the quantity of money laid out is not the same thing with the quantity in circulation. As the money passes from hand to hand, the same piece of money is laid out many times, before all the things on sale at one time are purchased and finally removed from the market: and each pound or dollar must be counted for as many pounds or dollars, as the number of times it changes hands in order to effect this object. The greater part of the goods must also be counted more than once, not only because most things pass through the hands of several sets of manufacturers and dealers before they assume the form in which they are finally consumed, but because in times of speculation (and all times are so, more or less) the same goods are often bought repeatedly, to be resold for a profit, before they are bought for the purpose of consumption at all.
If we assume the quantity of goods on sale, and the number of times those goods are resold, to be fixed quantities, the value of money will depend upon its quantity, together with the average number of times that each piece changes hands in the process. The whole of the goods sold (counting each resale of the same goods as so much added to the goods) have been exchanged for the whole of the money, multiplied by the number of purchases made on the average by each piece. Consequently, the amount of goods and of transactions being the same, the value of money is inversely as its quantity multiplied by what is called the rapidity of circulation. And the quantity of money in circulation, is equal to the money value of all the goods sold, divided
