What is the value of the firm according to M&M Proposition I with taxes? Should Tool change its debt-equity ratio if the goal is to maximize the value of the firm? Explain.

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  1. Tool Manufacturing has an expected EBIT of $35,000 in perpetuity and a tax rate of 35 percent. The firm has $70,000 in outstanding debt at an interest rate of 9 percent, and its unlevered cost of capital is 14 percent. What is the value of the firm according to M&M Proposition I with taxes? Should Tool change its debt-equity ratio if the goal is to maximize the value of the firm? Explain.

 

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To find the value of the levered firm we first need to find the value of an unlevered firm. So, the value of the unlevered firm is:

 

VU = EBIT(1 – tC)/RU

VU = ($35,000)(1 – .35)/.14

VU = $162,500

 

Now we can find the value of the levered firm as:

 

VL = VU  + tCD

VL = $162,500 + .35($70,000)

VL = $187,000

 

Applying M&M Proposition I with taxes, the firm has increased its value by issuing debt. As long as M&M Proposition I holds, that is, there are no bankruptcy costs and so forth, then the company should continue to increase its debt/equity ratio to maximize the value of the firm.

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