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If the money supply is growing at 8%, the real rate of growth of GDP is 2%, and financial
innovations are reducing the demand for money by 0.5% per year, what should the long-run
inflation rate be?
Solution
According to the quantity theory of money:
Money supply (M) x Velocity of money (V) = Price level (P) x Real GDP (Y)
So,
Change in M + Change in V = Change in P (Inflation rate) + Change in Y
Here,
8% - 0.5%** = Inflation Rate + 2%
Inflation rate = (8 - 0.5 - 2)% = 5.5%
** If demand for money reduces by 0.5%, it means that transacitons velocity of money reduces
by the same percentage. So, change in V = - 0.5%

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