Time Inconsistency of Monetary Policy (All notations are the same as used in the class) Suppose that the Central Bank of Avocado Republic is facing the following Phillips Curve: * = n - 0.4 (u - u,) The Central Bank announces a monetary policy consistent with 1% inflation. The natural rate of unemployment (un) is assumed to be 3%. a. Assume that market participants believe in the Central Bank and form the expected inflation equal to 1% (r = 1%) . If the Central Bank follows through with its announced policy, what are the actual inflation rate and the unemployment rate? %3D ;u = b. Assume that the Central Bank weighs more on unemployment than inflation. So, to achieve an unemployment rate at 1 percentage point below the natural rate, what rate of inflation is the Central Bank willing to accept? To achieve an unemployment rate at u = the Central Bank is willing to accept = Do you think people will still believe in the Central Bank's announced policy? (Yes or No)

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Chapter17: The Philips Curve And Expetactions Theory
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Time Inconsistency of Monetary Policy
(All notations are the same as used in the class)
Suppose that the Central Bank of Avocado Republic is facing the following Phillips Curve:
* = n-0.4 (u - u,)
The Central Bank announces a monetary policy consistent with 1% inflation. The natural rate of
unemployment (un) is assumed to be 3%.
a. Assume that market participants believe in the Central Bank and form the expected inflation
equal to 1% (n = 1%) . If the Central Bank follows through with its announced policy, what are
the actual inflation rate and the unemployment rate?
;u =
b. Assume that the Central Bank weighs more on unemployment than inflation. So, to achieve an
unemployment rate at 1 percentage point below the natural rate, what rate of inflation is the
Central Bank willing to accept?
To achieve an unemployment rate at u =
the Central Bank is willing to
accept a =
c. Do you think people will still believe in the Central Bank's announced policy?
(Yes or No)
Transcribed Image Text:Time Inconsistency of Monetary Policy (All notations are the same as used in the class) Suppose that the Central Bank of Avocado Republic is facing the following Phillips Curve: * = n-0.4 (u - u,) The Central Bank announces a monetary policy consistent with 1% inflation. The natural rate of unemployment (un) is assumed to be 3%. a. Assume that market participants believe in the Central Bank and form the expected inflation equal to 1% (n = 1%) . If the Central Bank follows through with its announced policy, what are the actual inflation rate and the unemployment rate? ;u = b. Assume that the Central Bank weighs more on unemployment than inflation. So, to achieve an unemployment rate at 1 percentage point below the natural rate, what rate of inflation is the Central Bank willing to accept? To achieve an unemployment rate at u = the Central Bank is willing to accept a = c. Do you think people will still believe in the Central Bank's announced policy? (Yes or No)
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