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where
The right-hand side of the equation above equals the total amount of money spent during the month. The left-hand side also equals that amount, so that the equation is an identity, i.e., an equation that is always true by definition.
Given this identity, the velocity of money can be measured as
The equation of exchange can be used as a rudimentary theory of inflation. If the velocity of money is given by financial institutions (such as the role of bank accounts and credit cards) and the amount of production is always at a fixed level (say, at full employment), then any increase in the amount of money leads to rising prices for the economy as a whole, i.e., inflation.
If V and Q are constant, then we can state the equation of exchange in terms of rates of growth: