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In some economics textbooks, the supply-demand equilibrium in the markets for money and reserves is represented by a simple so-called money multiplier relationship between the monetary base of the central bank and the resulting money supply including commercial bank deposits. This is a short-hand simplification which disregards several other ...
That is to say that, if and were constant or growing at equal fixed rates, then the inflation rate would exactly equal the growth rate of the money supply. An opponent of the quantity theory would not be bound to reject the equation of exchange, but could instead postulate offsetting responses (direct or indirect) of Q {\displaystyle Q} or of V ...
The supply of money is also exogenous and can be controlled by the monetary authority (the central bank). Under these three assumptions, there is a causal effect of M on P, and the central bank, by controlling money supply, will be able to directly control the price level of the economy. Specifically, a constant growth rate in the money stock ...
If, however, one additionally assumes that the two ratios C/D and R/D are exogenously determined constants, the equation implies that the central bank can control the money supply by controlling the monetary base via open-market operations: In this case, when the monetary base increases by, say, $1, the money supply will increase by $(1+C/D)/(R ...
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The equation is an approximation; however, the difference with the correct value is small as long as the interest rate and the inflation rate is low. The discrepancy becomes large if either the nominal interest rate or the inflation rate is high. The accurate equation can be expressed using periodic compounding as:
The Fisher equation plays a key role in the Fisher hypothesis, which asserts that the real interest rate is unaffected by monetary policy and hence unaffected by the expected inflation rate. With a fixed real interest rate, a given percent change in the expected inflation rate will, according to the equation, necessarily be met with an equal ...
In this case the above equation can be solved for the inflation rate: = + Here, given the long-run output growth rate, the only determinant of the inflation rate is the growth rate of the money supply. In this case inflation in the long run is a purely monetary phenomenon; a monetary policy which targets the money supply can stabilize the ...