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Suppose an economy’s money supply grows by 5% and its real GDP grows at 1%. Assuming the velocity of money remains constant, what is the inflation rate?

Question

Suppose an economy’s money supply grows by 5% and its real GDP grows at 1%. Assuming the velocity of money remains constant, what is the inflation rate?

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Solution

The inflation rate can be calculated using the Quantity Theory of Money, which states that the money supply times the velocity of money equals the price level times real output (MV = PY). If the velocity of money is constant, then the growth rate of the money supply plus the inflation rate (growth rate of P) equals the growth rate of real output (Y).

Given: Growth rate of the money supply = 5% Growth rate of real GDP (Y) = 1%

We can rearrange the equation to solve for the inflation rate:

Inflation rate = Growth rate of money supply - Growth rate of real GDP Inflation rate = 5% - 1% = 4%

Therefore, the inflation rate is 4%.

This problem has been solved

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