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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 ...
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 ...
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 ...
The quantity theory is a long run model, which links price levels to money supply and demand. Using this equation, we can rearrange to see the following: π = μ − g, where π is the inflation rate, μ is the money supply growth rate and g is the real output growth rate.
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:
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 ...
Money supply is determined by central bank decisions and willingness of commercial banks to loan money. Money supply in effect is perfectly inelastic with respect to nominal interest rates. Thus the money supply function is represented as a vertical line – money supply is a constant, independent of the interest rate, GDP, and other factors.
For example, with an annual growth rate of 4.8% the doubling time is 14.78 years, and a doubling time of 10 years corresponds to a growth rate between 7% and 7.5% (actually about 7.18%). When applied to the constant growth in consumption of a resource, the total amount consumed in one doubling period equals the total amount consumed in all ...