2nt-1+ Y^ t + zt where rt is inflation in period t, Y^ t is the output gap in period t, and zt is cost-push inflation in period t. In period 0, inflation is 4%. In period 1, z1 = -0.01 due to an unexpected productivity increase. For all other periods, zt = 0. The output gap is zero all the time.

MACROECONOMICS
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ISBN:9781337794985
Author:Baumol
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Chapter17: The Trade-off Between Inflation And Unemploy
Section: Chapter Questions
Problem 5DQ
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Assume the Phillips curve is given by tt =
2nt-1 + Y^t + zt where t is inflation in period
t, Y^ t is the output gap in period t, and zt is
cost-push inflation in period t. In period 0,
inflation is 4%. In period 1, z1 = -0.01 due to
an unexpected productivity increase. For all
other periods, zt = 0. The output gap is zero
all the time.
(a) What is inflation in period 1?
(b) What is inflation in period 2?
(c) What is inflation in period 3?
%3D
Transcribed Image Text:Assume the Phillips curve is given by tt = 2nt-1 + Y^t + zt where t is inflation in period t, Y^ t is the output gap in period t, and zt is cost-push inflation in period t. In period 0, inflation is 4%. In period 1, z1 = -0.01 due to an unexpected productivity increase. For all other periods, zt = 0. The output gap is zero all the time. (a) What is inflation in period 1? (b) What is inflation in period 2? (c) What is inflation in period 3? %3D
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