6. Imagine inflation is 10%, and the central bank wants to have inflation equal to 2%. When announcing information about future monetary policy, the central bank brings inflation expectations to 4%. The slope of the Phillips Curve is 1/3. Cost push shocks are zero. How much must short-run output fall to achieve the goal of 2% inflation? 7. Repeat the last exercise assuming that the announcement of future monetary policy is less effective, bringing inflation expectations to 8%.

6. Imagine inflation is 10%, and the central bank wants to have inflation equal to 2%. When announcing information about future monetary policy, the central bank brings inflation expectations to 4%. The slope of the Phillips Curve is 1/3. Cost push shocks are zero. How much must short-run output fall to achieve the goal of 2% inflation? 7. Repeat the last exercise assuming that the announcement of future monetary policy is less effective, bringing inflation expectations to 8%.

Brief Principles of Macroeconomics (MindTap Course List)

8th Edition

ISBN:9781337091985

Author:N. Gregory Mankiw

Publisher:N. Gregory Mankiw

Chapter17: The Short-run Trade-off Between Inflation And Unemployment

Section: Chapter Questions

Problem 4PA

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Suppose a given country experienced low and stableinflation rates for quite some time, but then inflation picked up and over the past decade had beenrelatively high and quite unpredictable. Explain howthis new inflationary environment would affect thedemand for money according to portfolio theories ofmoney demand. What would happen if the governmentdecided to issue inflation-protected securities?
Consider an economy in which the demand for money is of the formMt =(1/v) PtYfor t = 0, 1, 2, · · · , where output is 150, the money velocity is 1.5. The money supplyis 100 for t = 0, 1. In period 2, the central bank surprises people and announcethat 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. What is the inflation rate in period 1, π1? What is real money balance in period 1, M1 / P1? What is the expected inflation in period 2, given the informationavailable in period 1, E1π2? b. What is the inflation rate in period 2, π2? What is real money balance inperiod 2, M2/P2? What is expected inflation in period 3, given the informationavailable in period 2, E2π3? c. 4. Compare E1π2 and π2.
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It is sometimes suggested that the Fed should try toachieve zero inflation. If we assume that velocity isconstant, does this zero-inflation goal require that therate of money growth equal zero? If yes, explain why.If no, explain what the rate of money growth shouldequal
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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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Suppose the statistical office of a country does a poorjob in measuring inflation and reports an annualizedinflation rate of 4% for a few months, while the trueinflation rate has been 2.5%. What will happen to thecentral bank’s credibility if it is engaged in inflation targeting and its target is around 2%?