Output in an economy is given by the production function,
Y=A (UkK)⁰.³⁰ (UnN)⁰.⁷⁰,
where Y is output and A measures productivity. The capital stock K is fixed at 30, and employment N is fixed at 103. The utilization rates of capital and labor equal 1 in both 2012 and 2013. Output equals 116 in 2012 and equals 122.96 in 2013. The values of the Solow residual as measured by the parameter A are found to be 1.6306 in 2012 and 1.7284 in the year 2013. Thus the growth rate of the Solow residual is 6.00%.
Now suppose that betweeen 2012 and 2013, utilization of both capital and labor each increase by 4%. Output in 2013 is 122.96, as it was above.
Calculate the new measure of A in the year 2013:. (Enter your response rounded to four decimal places.)
