Luther Industries has 25 million shares outstanding trading at $18 per share. In addition, Luther has $150 million in outstanding debt. Suppose Luther's equity cost of capital is 13%, its debt cost of capital is 7%, and the corporate tax rate is 21%. What is Luther's unlevered cost of capital

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Luther Industries has 25 million shares outstanding trading at $18 per share. In addition, Luther has $150 million in outstanding debt. Suppose Luther's equity cost of capital is 13%, its debt cost of capital is 7%, and the corporate tax rate is 21%.

What is Luther's unlevered cost of capital? 

Expert Solution
Step 1

Formulae:-

Value of equity = number of outstanding shares * trading price.

Value of firm = value of equity + outstanding debt.

Weight of debt = outstanding debt / value of firm.

Weight of equity=  value of equity / value of firm.

Unlevered cost of capital = ( Weight of debt * debt cost of capital) + (weight of equity * equity cost of capital)

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