If the growth rate of real GDP is 3.5 percent per year, the money supply grows at a rate of 7 percent, and the velocity is constant, using the quantity theory, the inflation rate is ______ percent.

Round your answer to the nearest hundredth of a percent.

Question

If the growth rate of real GDP is 3.5 percent per year, the money supply grows at a rate of 7 percent, and the velocity is constant, using the quantity theory, the inflation rate is ______ percent.

Round your answer to the nearest hundredth of a percent.

BlackTom AI · Accepted Answer

To analyze this question, I start from the quantity theory of money, which in growth form is: %ΔM + %ΔV = %ΔP + %ΔY, where M is the money supply, V is velocity, P is the price level, and Y is real GDP.

- Step 1: Velocity growth is given as constant, so %ΔV = 0. This removes velocity change from the equation.
- Step 2: The growth rate of real GDP (%ΔY) is 3.5%.
- Step 3: The money supply grows at 7% per year, so %ΔM = 7%.

With %ΔV = 0, the equation simplifies to 7% = %ΔP + 3.5%, which implies %ΔP = 7% − 3.5% = 3.5%.

- Step 4: Therefore, the inflation rate, which is measured by the growth rate of the price level (%ΔP), is 3.5%. Since the problem asks for the answer rounded to the nearest hundredth of a percent, we express this as 3.50%.

Note: If velocity were not constant (i.e., if %ΔV ≠ 0), the inflation rate would be affected by changes in velocity as well, via %ΔP = %ΔM + %ΔV − %ΔY. However, given the problem’s condition of constant velocity, the calculation hinges solely on the difference between money growth and real output growth.

If the growth rate of real GDP is 3.5 percent per year, the money supply grows at a rate of 7 percent, and the velocity is constant, using the quantity theory, the inflation rate is ______ percent. Round your answer to the nearest hundredth of a percent.Numerical

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