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Brief Principles of Macroeconomics (MindTap Course List)

Brief Principles of Macroeconomics (MindTap Course List)

8th Edition

ISBN:9781337091985

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter16: The Influence Of Monetary And Fiscal Policy On Aggregate Demand

Section: Chapter Questions

Problem 2PA

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Question

Suppose that the money demand function is
(M/P)d = 1,000 - 100r,
where r is the interest rate in percent. The
money supply M is 1,000 and the price level P
is 2.
a. Graph the supply and demand for real money
balances.
b. What is the equilibrium interest rate?
c. Assume that the price level is fixed. What
happens to the equilibrium interest rate if the
supply of money is raised from 1,000 to 1,200?
d. If the Fed wishes to raise the interest rate to
7 percent, what money supply should it set?

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Please pleaseee do this Question : For this question assume that the real money demand function is L(R, Y) = kY - hR where k > 0 represents the sensitivity of the money demand to income and h > 0 represents the sensitivity of the money demand to the interest rate. Suppose that these sensitivity parameters are not known for the economy of Macroland and there are two possibilities: it is either i) high k and low h, or ii) low k and high h. To understand which one of these two scenarios is correct you analyze a given policy change: an increase in the overall level of taxes. Using the AA-DD model, compare and contrast the short run effects of this policy change in Macroland under these two scenarios. Explain your results intuitively.
Now, consider an economy in which the demand for money is of the formY(1 + it)for t = 0, 1, 2, · · · , where output is 150 and it denotes the nominal interest rate inperiod t. The REAL INTEREST RATE, denoted r, is constant and equal to 4%. In period0 and 1, the money supply is 100 and people expect that money supply wouldbe 100 forever. People have rational expectations. In period 2, the central banksurprises people and sets the money supply will grow at 2 percent forever, that is,M0 = 100, M1 = 100, M2 = (1.02)M1, M3 = (1.02)M2, and so on. A. Find the inflation rate, nominal interest rate, real money balance in period 1,and expected inflation in period 2, given the information available in period1, π1, i1,M1 / P1, and, E1π2. B. Find the inflation rate, nominal interest rate, real money balance in period 2,and expected inflation in period 3, given the information available in period 2. (π2, i2, M2 / P2 and E2π3.) C. Find the inflation rate, nominal interest rate, and real money…
Now, consider an economy in which the demand for money is of the formY / (1 + it) for t = 0, 1, 2, · · · , where output is 150 and it denotes the nominal interest rate inperiod t. The real interest rate, denoted r, is constant and equal to 4%. In period0 and 1, the money supply is 100 and people expect that money supply wouldbe 100 forever. People have rational expectations. In period 2, the central banksurprises people and sets the money supply will grow at 2 percent forever, that is,M0 = 100, M1 = 100, M2 = (1.02)M1, M3 = (1.02)M2, and so on. A . Find the inflation rate, nominal interest rate, real money balance in period 1,and expected inflation in period 2, given the information available in period1, π1, i1, M1 / P1 and, E1π2. B . Find the inflation rate, nominal interest rate, real money balance in period 2, and expected inflation in period 3, given the information available in period 2, π2, i2, M2 / P2 and E2π3. C . Compare E1π2 and π2.

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