I. Suppose that the Phillips eurve is given by rt, = Rf + [11 Eat a. What is the natural rate of unemployment\"? Assume \"It? = Hard, and suppose that 6' 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. e. Do you believe the answer given in (b)? Why or why not? (Hint: Think about how people are likely to form expectations of ination.) Now suppose that in year t + 5, 9 increases from {I to 1. Suppose that the government is still determined to keep u at 4% forever. (1. Why might 9 increase in this way? e. What will the ination rate be in years t + S, t + 6, and t + 7'? f. Do you believe the answer given in (e)? Why or why not