question archive Unida Systems has 40 million shares outstanding trading for $ 8 per share

Unida Systems has 40 million shares outstanding trading for $ 8 per share

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Unida Systems has 40 million shares outstanding trading for $ 8 per share. In? addition, Unida has $ 95 million in outstanding debt. Suppose? Unida's equity cost of capital is 13 %?, its debt cost of capital is 9 %?, and the corporate tax rate is 34 %.

a) What is? Unida's unlevered cost of? capital?

b) What is? Unida's after-tax debt cost of? capital?

c) What is? Unida's weighted average cost of? capital?

 

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a) 12.08%

b) 5.94%

c) 11.38%

Step-by-step explanation

a) Unlevered cost of capital = Equity * Cost of equity + Debt * Cost of debt

Equity = 40 million shares * 8 = 320 million

Debt = 95 million

Total = 95 + 320 = 415 million

Unlevered cost of capital = ?415320?? * 13% + ?41595??*9%

=10.02 % + 2.06%

= 12.08 %

 

b) After-tax debt cost of capital = Cost of Debt * (1 - tax rate)

= 9% * (1 - 0.34)

= 5.94%

 

c) WACC = Equity * Cost of equity + Debt * Cost of debt * (1 - tax rate)

= ?415320??* 13% + ?41595?? * 5.94%

= 10.02% + 1.36%

= 11.38%