9. You are given the following data on the unemployment rate and output. Year 1 2 3 4 Unemployment rate 8% 6% 7% 5% Output 950 1030 1033.5 1127.5F

a. Assume that the natural rate of unemployment is 6% and that (Y - Y)/Y = 2(u - u‾). Find the fullemployment level of output in each year.

b. Calculate the growth rate of full-employment output in years 2, 3, and 4 two different ways. First, calculate the growth rates by using the values for full-employment output that you found in part (a). Then calculate the growth rate of fullemployment output by using only the change in the unemployment rate, the growth rate of output, and the growth rate version of Okun’s law, ∆Y/Y = ∆Y/Y - 2∆u, which is similar to Eq. (3.6), except that in Eq. (3.6), ∆Y/Y = 3 for the United States, where for this economy, ∆Y/Y could differ from 3. Compare your answers from the two sets of calculations