Question Two: RBC Models The economy consisting of a large number of identical, price taking firms and a large number of

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Question Two Rbc Models The Economy Consisting Of A Large Number Of Identical Price Taking Firms And A Large Number Of 1 (96.4 KiB) Viewed 40 times

Question Two: RBC Models The economy consisting of a large number of identical, price taking firms and a large number of identical, price taking infinitely lived households. Output is given by a Cobb-Douglas function: Y = ezt k“N, -a where Y, is output, K, is capital stock, and N, is labor supply. The technology shock evolves according to 2+ = pzt-1 + Et where & is i.i.d. normally distributed disturbance, and capital evolves according to K t+1 = (1 - 0) K¢ + It, where 8 < 1 is the annual depreciation rate and I is investment. Output is used for investment and consumption : Y = Ct + lt. There are no frictions in the labor market and agents have standard preferences over consumption and leisure: u (ch) = log c + log (1 - h) i. Show algebraically and explain briefly why in a competitive equilibrium price (rental rates W and rt + 8) should equal marginal productivity of labor and capital.