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.

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Unemployment and Cost of Unemployment

Unemployment is the state of being unemployed, even when an individual is actively seeking work opportunities. The unemployment rate refers to the percentage of the workforce that is currently unemployed.