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David Ortiz Motors has a target capital structure of 40% debt and 60% equity. The yield to maturity on the company's outstanding bonds is 12%, and the company's tax rate is 40%. Ortiz's CFO has calculated the company's WACC as 11.54%. What is the company's cost of equity capital? Round your answer to two decimal places.

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5 votes

Answer:

Cost of equity = 14.43%

Step-by-step explanation:

Weigheted Average cost of capital is computed using the formula below:

WACC = (Wd×Kd) + (We×Ke)

Kd= aftre tax cost of debt= 12%× (1-0.4)= 7.2%

Wd =Proportion of debt= 40%

We = proportion of equity = 60%

Ke= cost of equity.

let the cost of equity be "y"

WACC = 11.54

11.54 = (40%× 7.2%) + (60% × y)

0.1154 = 0.0288 + 0.6y

0.1154 - 0.0288 = 0.6y

y =(0.1154 - 0.0288)/0.6

y = 0.1443 × 100

y =14.43%

Cost of equity = 14.43%

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