Solve the following problem: The Phillips curve of an economy is defined by the following relationship: T = T + 0,08 + 0,1m – 0,5u̟ In which m is the mark-up of prices over wages. Initially the value of the mark-up is 20%, but after an oil price shock, it rises to 40% (period t+1). (a). Find the Phillips curve and the natural rate of unemployment before the oil shock. How does the natural rate of unemployment change after the shock? (b). If expected inflation is given by T = Ont-1 with 0 = 1 ,where initially actual inflation was 2% and rose to 4% in period t, then what was the unemployment rate in the period? (C). How does your answer in (b) change after the oil shock? What happens to inflation in periods t+1, t+2 and t+3, if the authority wanted to keep unemployment at the level found in period t?

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Chapter17: The Philips Curve And Expetactions Theory
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Specific subject : Macroeconomics - Phillips Curve & Okun's Law

Solve the following problem: The Phillips curve of an economy is defined by the
following relationship:
T =
T + 0,08 + 0,1m – 0,5u,
In which m is the mark-up of prices over wages. Initially the value of the mark-up is 20%,
but after an oil price shock, it rises to 40% (period t+1).
(a). Find the Phillips curve and the natural rate of unemployment before the oil shock.
How does the natural rate of unemployment change after the shock?
(b). If expected inflation is given by Tt
inflation was 2% and rose to 4% in period t, then what was the unemployment rate in
the period?
(C). How does your answer in (b) change after the oil shock? What happens to inflation
in periods t+1, t+2 and t+3, if the authority wanted to keep unemployment at the level
found in period t?
(d). How do your answers in (a) and (b) change if expected inflation is given by
T = 0,5Ttt-1?
(e) What happens if 20% of workers have their inflation expectations indexed to past
= OTtt-1 with 0 = 1 ,where initially actual
inflation?
(f) Analyze the inflation adjustment if in period t+3, the authority would like to return to
the initial inflation of 2%. Okun's law is given by:
Ut – Ut-1 = 0,2(gyt – 3%)
Note: gyt is the real GDP growth rate in period t.
Transcribed Image Text:Solve the following problem: The Phillips curve of an economy is defined by the following relationship: T = T + 0,08 + 0,1m – 0,5u, In which m is the mark-up of prices over wages. Initially the value of the mark-up is 20%, but after an oil price shock, it rises to 40% (period t+1). (a). Find the Phillips curve and the natural rate of unemployment before the oil shock. How does the natural rate of unemployment change after the shock? (b). If expected inflation is given by Tt inflation was 2% and rose to 4% in period t, then what was the unemployment rate in the period? (C). How does your answer in (b) change after the oil shock? What happens to inflation in periods t+1, t+2 and t+3, if the authority wanted to keep unemployment at the level found in period t? (d). How do your answers in (a) and (b) change if expected inflation is given by T = 0,5Ttt-1? (e) What happens if 20% of workers have their inflation expectations indexed to past = OTtt-1 with 0 = 1 ,where initially actual inflation? (f) Analyze the inflation adjustment if in period t+3, the authority would like to return to the initial inflation of 2%. Okun's law is given by: Ut – Ut-1 = 0,2(gyt – 3%) Note: gyt is the real GDP growth rate in period t.
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