Question

bruin manufacturing has expected ebit of $26,000 in perpetuity. a tax rat 35% and debt equity ratio of 60 percent. the firm has $60,000 in outstanding debt at an interest rate of 8percent and its wacc is 12 percent. what is the value of the firm according to m&m proposition 1 with taxes?. should bruin change its debt-equity ratio if the goal is to maximize the value of the firm? explain.

Answer 1

The value of the firm according to M&M proposition 1 with taxes will be as follows,

WACC = .12 = (100/160)RE+ (60/160)(.08)(.65) ;RE= .1608

RE= .1608 = RU+ (RU– .08)(.6)(.65) ;RU= .1381

VU= EBIT(1 – t)/RU= ($26,000)(.65)/.1381 = $122,348.96

VL= VU+ Dt = $122,348.96 + .35D = $140,833.33

Or

VL= EBIT(1 – t)/WACC = ($26,000)(.65)/.12

= $140,833.33

What is M&M proposition?

Miller and Modigliani theory mentions two propositions. Proposition I state that the market value of any firm is independent of the amount of debt or equity in capital structure. Proposition II states that the cost of equity is directly related and incremental to the percentage of debt in the capital structure.

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

Thus, the value of the firm according to M&M proposition 1 with taxes will be $140,833.33.

Learn more about M&M proposition here,

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