In: Economics
2. Suppose that in the U.S., the income velocity of money (V) is constant. Suppose, too, that every year, real GDP grows by 2.5 percent (%∆Y/year = 0.025) and the supply of money grows by 10 percent (%∆M/year = 0.10).
a. According to the Quantity Theory of Money, what would be the growth rate of nominal GDP = P×Y? Hint: %∆(X×Y) %∆X + %∆Y.
b. In that case, what would be the inflation rate (i.e. %∆P/year)?
c. If the central bank wants the inflation rate to be 0%, what money supply growth rate (i.e. - %∆M per year) should it set?
a) According to the Quantity Theory of Money, the growth rate of nominal GDP will be 40%.
b) The inflation rate will be 16%.
c)If the Central Bank wants the inflation rate to be 0%, then the growth rate of the nominal money supply must be equal to the growth rate of money demand.