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Question

M&M and Taxes [Lo2]\color{#c34632}\text{[Lo2]} In previous Problem, what is the cost of equity after recapitalization? What is the WACC? What are the implications for the firm's capital structure decision?

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Answered 1 year ago
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First, we have to find out the actual value of the firm which we denote with AVAV, where the earnings before interest and taxes EIEI is $97,000\$97,000, tax rate TRTR is 24%24\% and the cost of equity CECE is 13%13\%

AV=EI×(1TR)CE=97,000×(124%)13%=97,000×(10.24)0.13=97,000×0.760.13=73,7200.13=567,076.9231\begin{align*} AV&=\frac{EI \times (1-TR)}{CE}\\[12pt] &=\frac{97,000 \times (1-24\%)}{13\%}\\[12pt] &=\frac{97,000 \times (1-0.24)}{0.13}\\[12pt] &=\frac{97,000 \times 0.76}{0.13}\\[12pt] &=\frac{73,720}{0.13}\\[12pt] &=567,076.9231 \end{align*}

Therefore, the actual value of the firm is $567,076.9231\boxed{\$567,076.9231}

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