Suppose that firms produce according to the production function Y = AK1/2L 1/2 , where A = 5 and L = 400. Assume that the prices of capital and output are equal and that the real interest rate, r, is equal to 0.25 and the depreciation rate, δ, is equal to 0.1. 1. If firms operate according to the neoclassical theory of investment, what is the optimal level of capital stock, K (Y P ) to rich (Y R ). 2 2. Suppose that the government offers an investment tax credit which changes the relative price of capital. This results in Pk = 3 and P = 6. What is the new optimal level of capital stock, K ? ? 3. Does the investment tax credit have an expansionary impact on the economy? Explain why or why not. 4. Based on the optimal capital stock computed in part (2), what is the level of investment needed to sustain this level of capital stock?
Suppose that firms produce according to the production function Y = AK1/2L
1/2
, where A = 5 and
L = 400. Assume that the prices of capital and output are equal and that the real interest rate, r, is
equal to 0.25 and the
1. If firms operate according to the neoclassical theory of investment, what is the optimal level
of capital stock, K
(Y
P
) to rich (Y
R
).
2
2. Suppose that the government offers an investment tax credit which changes the relative price
of capital. This results in Pk = 3 and P = 6. What is the new optimal level of capital stock,
K
?
?
3. Does the investment tax credit have an expansionary impact on the economy? Explain why
or why not.
4. Based on the optimal capital stock computed in part (2), what is the level of investment
needed to sustain this level of capital stock?
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