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In the far-off country of Narnia, the velocity of money is constant, money stock grows by 12 per cent per year, the nominal interest rate is 8 per cent and real GDP grows by 5 per cent per year. Calculate the growth rate of nominal GDP, the inflation rate and the real interest rate and choose the correct answer below.A.8%, 3%, 9%B.12%, 7%, 1%C.8%, 4%, 8%D.12%, 4%, 4%

Question

In the far-off country of Narnia, the velocity of money is constant, money stock grows by 12 per cent per year, the nominal interest rate is 8 per cent and real GDP grows by 5 per cent per year. Calculate the growth rate of nominal GDP, the inflation rate and the real interest rate and choose the correct answer below.A.8%, 3%, 9%B.12%, 7%, 1%C.8%, 4%, 8%D.12%, 4%, 4%

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Solution

To solve this problem, we need to use the equation of exchange in macroeconomics, which is MV = PY. Here, M is the money supply, V is the velocity of money, P is the price level, and Y is the real GDP.

Given that the velocity of money (V) is constant, the equation can be written in growth rates as the growth rate of money supply (M) plus the growth rate of velocity (V) equals the inflation rate (P) plus the growth rate of real GDP (Y).

Since the velocity of money is constant, its growth rate is 0. So, the equation becomes:

Growth rate of M = Inflation rate (P) + Growth rate of Y

We know that the growth rate of money supply (M) is 12% and the growth rate of real GDP (Y) is 5%. Substituting these values into the equation, we get:

12% = Inflation rate + 5%

Solving for the inflation rate, we find that the inflation rate is 7%.

The nominal interest rate is the sum of the real interest rate and the inflation rate. So,

Nominal interest rate = Real interest rate + Inflation rate

We know that the nominal interest rate is 8% and the

This problem has been solved

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