Consider an economy with constant nominal money supply M=100, constant real output Y = 100, and constant real interest rater = 0.1. Suppose that the income elasticity of money demand is 0.5 and the interest rate elasticity of money demand is -0.1. Also assume that expected inflation is zero and does not change (TTe = 0). This implies that the nominal interest rate is equal to the real interest rate. By what percentage does the equilibrium price level differ from its initial value if output increases to Y = 120, money supply doubles but r remains at 0.1? O A. 50% O B. 3% O C.0.9% O D.90%

Consider an economy with constant nominal money supply M=100, constant real output Y = 100, and constant real interest rater = 0.1. Suppose that the income elasticity of money demand is 0.5 and the interest rate elasticity of money demand is -0.1. Also assume that expected inflation is zero and does not change (TTe = 0). This implies that the nominal interest rate is equal to the real interest rate. By what percentage does the equilibrium price level differ from its initial value if output increases to Y = 120, money supply doubles but r remains at 0.1? O A. 50% O B. 3% O C.0.9% O D.90%

Essentials of Economics (MindTap Course List)

8th Edition

ISBN:9781337091992

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter22: Money Growth And Inflation

Section: Chapter Questions

Problem 1PA

See similar textbooks

Similar questions

Suppose that an economy has a constant nominal money supply, a constant level of real output Y = 1500, and a constant real interest rate r = 0.05, and it’s expected rate of inflation is 2%, i.e, πe = .02. Suppose that the income elasticity of money demand is ηY = 0.5 and the interest elasticity of demand ηi = –0.2. (a) Suppose that Y decreases to 1425, r remains constant at 0.05 and there is no change in the expected rate of inflation. What is the percentage change in the equilibrium price level? (b) Suppose that r increases to 0.06 and Y remains at 1500. Assuming that expected inflation remains at πe = .02, what is the percentage change in the equilibrium price level? (c) Suppose that r increases to 0.06. Assuming that πe = .02, what would real output have to be for the equilibrium price level to remain at its initial value?
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.
Suppose the economywide demand for money is given by: M = P(0.2Y – 25,000i). The price level Pequals 3, and real output Y equals 8,000. At what value should the Fed set the nominal money supply if it wants to set the nominal interestrate at 2 percent?
Consider an economy with a constant nominal money supply, a constant level of real output Y=100, and a constant real interest rate r =0.10. Suppose 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 output increases to Y=106 (and r remains a 0.10)? B. By what percentage does the equilibrium price level differ from its initial value if the real interest rate increases to r=0.11 (and Y remains at 100)? 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? Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
Suppose the money demand function is = 1000 + 0.2Y - 1000 (r + πe). Required (a.) Calculate velocity if Y = 2000, r = 0.06, and πe = 0.04. (b.) If the money supply (Ms) is 2600, what is the price level? (c.) Now suppose the real interest rate rises to 0.11, but Y and Ms are unchanged. What happens to velocity and the price level? (d.) For part (c.), if the nominal interest rate were to rise from 0.10 to 0.15 over the course of a year, with Y remaining at 2000, what would the inflation rate be?
Suppose the economywide demand for money is given by: M = P(0.3Y − 25,000i). The price level P equals 3, and real output Y equals 8,000. a. At what value should the Fed set the nominal money supply if it wants to set the nominal interest rate at 2 percent? The nominal money supply should be set at $ . b. At what value should the Fed set the nominal money supply if it wants to set the nominal interest rate at 3 percent? The nominal money supply should be set at $ .
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 in period 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 period2, π2, i2, M2 / P2 and, E2π3. C. Find the inflation rate, nominal interest rate, and real money…
Assume that the demand for real money balance (M / P) is M / P = 0.8Y – 200i, where Y is national income, and i is the nominal interest rate (in percent). The real interest rate r is fixed at 5 percent by the investment and saving functions. The expected inflation rate equals the rate of nominal money growth. If Y is 2,500, P is 1.2, and the growth rate of nominal money is 2 percent, what must i and M be? Show all your work, show formula used and explain why.
Suppose that the money demand function is(M/P)d = 1,000 - 100r, where r is the interest rate in percent. Themoney supply M is 1,000 and the price level Pis 2.a. Graph the supply and demand for real moneybalances.b. What is the equilibrium interest rate?c. Assume that the price level is fixed. Whathappens to the equilibrium interest rate if thesupply of money is raised from 1,000 to 1,200?d. If the Fed wishes to raise the interest rate to7 percent, what money supply should it set?
Suppose the interest rate that banks in Techland charge one another for overnight loans is 5 percent, the long-term nominal interest rate is 4.5 percent, and the long-term expected inflation rate is 3 percent. What is the long-term expected real interest rate? How will the long-term expected real interest rate be affected if the central bank of Techland starts purchasing government bonds from banks?
Suppose that this year’s money supply is $500 billion,nominal GDP is $10 trillion, and real GDP is $5 trillion.a. What is the price level? What is the velocity ofmoney?b. Suppose that velocity is constant and theeconomy’s output of goods and services rises by5 percent each year. What will happen to nominalGDP and the price level next year if the Fed keepsthe money supply constant?c. What money supply should the Fed set next yearif it wants to keep the price level stable?d. What money supply should the Fed set next yearif it wants inflation of 10 percent?