So far we have ignored taxes from our investment decisions, but for a firm the real interest rate, depreciation rate acts a user cost of capital and Benefit is measure by MARGINAL PRODUCTIVITY OF CAPITAL.
AS A RULE: the form maximizes the profit by comparing the user cost of capital with the benefit.
What if tax is Imposed on capital. What will happen?
(1-π) is the tax rate imposed on MPK?
What will the equation look like of MPK after tax look like: (1-π) MPK
Solve it for the desired capital stock:
(1-π) MPK= (r+ d)Pk/P
SOLVE IT FOR MPK dividing (1-π) on both sides
We will get
MPK={ (r+ d)Pk/P}1/(1-π)
Now tax is also added into the cost of capital
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