Consider a firm that faces the following expected future marginal product of capital: MPKf =1000- 2K Where MPKf is the expected future marginal product of capital and K is the capital stock. The price of capital, pk, is 1000, the real interest rate, r, is 10%, and the depreciation rate, d, is 15%.
a. What is the user cost of capital?
b. What is the value of the firm's desired capital stock?
c. Now suppose that the firm must pay a 50% tax on its revenue. What is the value of the desired capital stock?