2. Suppose that the government of Australia wants to maintain a constant nominal money supply. Its current level of real output is Y= AS1800 billion (Australian dollar), and its real interest rate is r= 0.10. Assume that the income elasticity of money demand is 0.5 and the interest elasticity of money demand is -0.1. a. By what percentage does the equilibrium price level differ from its initial value if the output increases to r=A$1908 billion (and r remains at0.10)? {hint: use Eq.7.12} b. By what percentage does the equilibrium price level differ from its initial value if the real interest increases to r=0.11(andY remains at A$1800)? c. Suppose that the real interest rate increases to r-0.11. What would real output have to be for the equilibrium price level to remain at its initial value?

Brief Principles of Macroeconomics (MindTap Course List)
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ISBN:9781337091985
Author:N. Gregory Mankiw
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Chapter16: The Influence Of Monetary And Fiscal Policy On Aggregate Demand
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2. Suppose that the government of Australia wants to maintain
a constant nominal money supply. Its current level of real
output is Y= A$1800 billion (Australian dollar), and its real
interest rate is r= 0.10. Assume that the income elasticity of
money demand is 0.5 and the interest elasticity of money
demand is -0.1.
a. By what percentage does the equilibrium price level
differ from its initial value if the output increases to
r=A$1908 billion (and r remains at0.10)? {hint: use
Eq.7.12}
b. By what percentage does the equilibrium price level
differ from its initial value if the real interest increases
to r=0.11(and Y remains at A$1800)?
c. Suppose that the real interest rate increases to r-0.11.
What would real output have to be for the equilibrium
price level to remain at its initial value?
Transcribed Image Text:2. Suppose that the government of Australia wants to maintain a constant nominal money supply. Its current level of real output is Y= A$1800 billion (Australian dollar), and its real interest rate is r= 0.10. Assume that the income elasticity of money demand is 0.5 and the interest elasticity of money demand is -0.1. a. By what percentage does the equilibrium price level differ from its initial value if the output increases to r=A$1908 billion (and r remains at0.10)? {hint: use Eq.7.12} b. By what percentage does the equilibrium price level differ from its initial value if the real interest increases to r=0.11(and Y remains at A$1800)? c. Suppose that the real interest rate increases to r-0.11. What would real output have to be for the equilibrium price level to remain at its initial value?
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