I. Suppose that the Phillips curve is given by 1 = n + 0.1 – 2u; a. What is the natural rate of unemployment? Assume 7 = On;-1, and suppose that 0 is initially equal to 0. Suppose that the rate of unemployment is initially equal to the natural rate. In year t, the authorities decide to bring the unemployment rate down to 4% and hold it there forever. b. Determine the rate of inflation in years t, t + 1, t + 2, and t + 5. c. Do you believe the answer given in (b)? Why or why not? (Hint: Think about how people are likely to form expectations of inflation.)

ECON MACRO
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Chapter10: Aggregate Supply
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a, b, c

I. Suppose that the Phillips curve is given by
1 = n + 0.1 – 2u;
a. What is the natural rate of unemployment?
Assume 7 = On;-1, and suppose that 0 is initially equal to 0. Suppose that the rate of
unemployment is initially equal to the natural rate. In year t, the authorities decide to bring
the unemployment rate down to 4% and hold it there forever.
b. Determine the rate of inflation in years t, t + 1, t + 2, and t + 5.
c. Do you believe the answer given in (b)? Why or why not?
(Hint: Think about how people are likely to form expectations of inflation.)
Now suppose that in year t + 5, 0 increases from 0 to 1. Suppose that the government is still
determined to keep u at 4% forever.
d. Why might 0 increase in this way?
e. What will the inflation rate be in years t + 5, t + 6, and t + 7?
f. Do you believe the answer given in (e)? Why or why not?
Transcribed Image Text:I. Suppose that the Phillips curve is given by 1 = n + 0.1 – 2u; a. What is the natural rate of unemployment? Assume 7 = On;-1, and suppose that 0 is initially equal to 0. Suppose that the rate of unemployment is initially equal to the natural rate. In year t, the authorities decide to bring the unemployment rate down to 4% and hold it there forever. b. Determine the rate of inflation in years t, t + 1, t + 2, and t + 5. c. Do you believe the answer given in (b)? Why or why not? (Hint: Think about how people are likely to form expectations of inflation.) Now suppose that in year t + 5, 0 increases from 0 to 1. Suppose that the government is still determined to keep u at 4% forever. d. Why might 0 increase in this way? e. What will the inflation rate be in years t + 5, t + 6, and t + 7? f. Do you believe the answer given in (e)? Why or why not?
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