Assume the economy is described by the following equations: Phillips Curve: Okun's Law: Tt = Tt-1-1.5% - (ut-0.05) AY/Y3% - 3 (ut-0.05) a) How could we know that expectations are not rational in this setup? b) Imagine that last year's inflation is equal to 11%. Imagine the Federal Reserve raises unemployment to 8% and keeps it there until inflation reduces to 2%. How many years of 8% unemployment would it take for inflation to reach 2%? c) What values of inflation would we observe over time as inflation reached 2%? d) How much output is lost to bring down inflation to 2%?

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Chapter1: Making Economics Decisions
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Assume the economy is described by the following equations:
Phillips Curve:
Okun's Law:
T = Tt-1 – 1.5% – (ut – 0.05)
AY/Y = 3% - 3(ut– 0.05)
a) How could we know that expectations are not rational in this setup?
b) Imagine that last year's inflation is equal to 11%. Imagine the Federal Reserve raises
unemployment to 8% and keeps it there until inflation reduces to 2%. How many years of
8% unemployment would it take for inflation to reach 2%?
c) What values of inflation would we observe over time as inflation reached 2%?
d) How much output is lost to bring down inflation to 2%?
Transcribed Image Text:Assume the economy is described by the following equations: Phillips Curve: Okun's Law: T = Tt-1 – 1.5% – (ut – 0.05) AY/Y = 3% - 3(ut– 0.05) a) How could we know that expectations are not rational in this setup? b) Imagine that last year's inflation is equal to 11%. Imagine the Federal Reserve raises unemployment to 8% and keeps it there until inflation reduces to 2%. How many years of 8% unemployment would it take for inflation to reach 2%? c) What values of inflation would we observe over time as inflation reached 2%? d) How much output is lost to bring down inflation to 2%?
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