Suppose the Phillips curve is given by the following: Πι = π + (μ + z) – aut 2ut πι = π + 0.1 Where: π} = θπι–1 Suppose initially, 0 = 0 a. What is the natural rate of unemployment? b. Suppose ut = un. In year t, government authorities decide to bring the unemployment rate down to 3% and hold it there forever. Determine the rate of inflation in years t, t+1, t+2.

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Chapter17: The Philips Curve And Expetactions Theory
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Suppose the Phillips curve is given by the following:
πt = π² + (µ+z)
aut
πι = π + 0.1
Where: π = πt-1
Suppose initially, 0 = 0
a. What is the natural rate of unemployment?
2ut
b. Suppose ut = Un. In year t, government authorities decide to bring the unemployment
rate down to 3% and hold it there forever. Determine the rate of inflation in years t,
t+1, t+2.
c. Suppose in year t+5,0 increases from 0 to 1 and ut = 3%. Determine the rate of inflation
in year 5 and year 6.
Transcribed Image Text:Suppose the Phillips curve is given by the following: πt = π² + (µ+z) aut πι = π + 0.1 Where: π = πt-1 Suppose initially, 0 = 0 a. What is the natural rate of unemployment? 2ut b. Suppose ut = Un. In year t, government authorities decide to bring the unemployment rate down to 3% and hold it there forever. Determine the rate of inflation in years t, t+1, t+2. c. Suppose in year t+5,0 increases from 0 to 1 and ut = 3%. Determine the rate of inflation in year 5 and year 6.
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