Using the quantity theory of money, suppose that this year’s money supply is $50 billion, nominal...

Using the quantity theory of money, suppose that this year’s money supply is $50 billion, nominal GDP is $1 trillion, and real GDP is $500 billion.

a. What is the price level? What is the velocity of money?

b. Suppose that velocity is constant and the economy’s output of goods and services rises by 5 percent each year. What will happen to nominal GDP and the price level next year if the Bank of Canada keeps the money supply constant?

c. What money supply should the Bank of Canada set next year if it wants to keep the price level stable?

d. What money supply should the Bank of Canada set next year if it wants inflation of 10 percent? (5marks)

Solutions

Expert Solution

Quantity theory of money = Money supply(M) * velocity of money(V) = Real GDP * Price level.(NominalGDP)

a) Velocity of money = Nominal GDP/ money supply

= 1 trillion/ 50 billion = 20

Price level = money supply * velocity of money/ real GDP

= 50*20/500

Price level = 2

b) If the money supply and velocity of money is constant then Nominal GDP will remain same because both side of equation must be equal. In this case price level will decrease by 5 percent.

c) In order to keep price level same bank have to increase the money supply by 5 percent only then equation will remain equal.

d) If it wants to increase the inflation 10 percent then bank should increase the money supply by 5 percent because price level has already increased by 5 percent.

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Rahul Sunny answered 1 year ago

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