Answered: Suppose that the relationship between…

Macroeconomics: Private and Public Choice (MindTap Course List)

16th Edition

ISBN:9781305506756

Author:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Publisher:James D. Gwartney, Richard L. Stroup, Russell S. Sobel, David A. Macpherson

Chapter8: Economic Fluctuations, Unemployment, And Inflation

Section: Chapter Questions

Problem 5CQ

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Suppose that the relationship between inflation rate (π) and unemployment rate (u) is described by the following equation: πt – πte = (m + z) – αut where m = 0.05, z = 0.04, and α = 2. In this economy, the authorities keep unemployment rate at 4% forever. a. If the modified Philips curve describes the relationship between π and u correctly, how should “πte” be specified? Rewrite the equation using this specification. Assume that πt–1 = 1%. Compute πt, πt+1, and πt+2. b. Do you believe the answer in part (a)? Why or why not? c. Derive the natural rate of unemployment.

Definition Definition Relationship between the rate of unemployment and the rate of inflation that shows that the lower the initial rate of unemployment, the greater the rise in wage rate corresponding to a given rise in the rate of unemployment. The Phillips curve assumes that the ratio between prices and nominal wage rates is constant in the short run. Presented graphically, the Phillips curve shows an inverse relationship between the rate of unemployment and the rate of inflation.

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