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In money market equilibrium, some economic variables (interest rates, income, or the price level) have adjusted to equate money demand and money supply. [citation needed] The quantitative relation between velocity and money demand is given by Velocity = Nominal Transactions (however defined) divided by Nominal Money Demand.
The quantity equation itself as stated above is uncontroversial, as it amounts to an identity or, equivalently, simply a definition of velocity: From the equation, velocity can be defined residually as the ratio of nominal output to the stock of money: = /. Developing a theory out of the equation requires assumptions be made about the causal ...
This equation is a rearrangement of the definition of velocity: :=. As such, without the introduction of any assumptions, it is a tautology . The quantity theory of money adds assumptions about the money supply, the price level, and the effect of interest rates on velocity to create a theory about the causes of inflation and the effects of ...
That is, velocity is defined by the values of the other three variables. Unlike the other terms, the velocity of money has no independent measure and can only be estimated by dividing PQ by M. Adherents of the quantity theory of money assume that the velocity of money is stable and predictable, being determined mostly by financial institutions.
For example, the velocity of money is defined as nominal GDP / nominal money supply; it has units of (dollars / year) / dollars = 1/year. In discrete time , the change in a stock variable from one point in time to another point in time one time unit later (the first difference of the stock) is equal to the corresponding flow variable per unit ...
In the 1970s velocity had seemed to increase at a fairly constant rate, but in the 1980s and 1990s velocity became highly unstable, experiencing unpredictable periods of increases and declines. Consequently, the stable correlation between the money supply and nominal GDP broke down, and the usefulness of the monetarist approach came into question.
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Monetary economics is the branch of economics that studies the different theories of money: it provides a framework for analyzing money and considers its functions ( as medium of exchange, store of value, and unit of account), and it considers how money can gain acceptance purely because of its convenience as a public good. [1]