Please explain how to do this The Phillips curve, Unemployment and Inflation Sup
ID: 1177850 • Letter: P
Question
Please explain how to do this
The Phillips curve, Unemployment and Inflation Suppose that the Phillips curve is given by pi t = + 0.1 - 2ut Assume = theta pi t-2 and suppose that theta is now equal to 1. Suppose that inflation in year t-1 is zero. In year t, the authorities decide to keep the unemployment rate at 3% forever. What is the natural rate of unemployment? Then please verify that pi t - = -2(ut - 0.05). Compute the inflation for years t, t+1 and t+2. According to the concept of NAIRU, what should be the rate of unemployment in order to keep inflation unchanged in the following years?Explanation / Answer
piet = 0.1 - 2*0.03 = 0.04
piet+1e = 0.04
piet+1 = 0.04 + 0.1 - 2*0.03 = 0.08
piet+2e = 0.08
piet+2 = 0.08 + 0.1 - 2*0.03 = 1.12
piet+3e = 1.12
piet+3 = 1.12 + 0.1 - 2*0.03 = 1.16
piet+4e = 1.16
piet+4 = 1.16 + 0.1 - 2*0.03 = 2.00
-2(0.03-0.05) = 0.04
piet+1 - piet+1e = 0.08-0.04 = 0.04
piet+2 - piet+2e = 1.12-0.08 = 0.04
According to the concept of NAIRU(