You are given the following data on the unemployment rate and output:

a. Assume that the natural rate of unemployment is 6% and that ( - Y)/ = 2{u - u}. Find the full-employment 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 full-employment output by using only the change in the unemployment rate, the growth rate of output, and the growth-rate version of Okun's law, Eq. (3.7). Compare your answers from the two sets of calculations.

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Year Unemployment rate Output 8% 950 1030 1033.5 11275 6% 7% 5%