King's unlevered cost of equity is 11 percent and its pretax cost of debt is 8 percent. The firm has a debt-equity ratio of 0.4. If the tax rate is 21 percent, what is King's cost of equity?Multiple choice question.11.95%11%12.59%10.59%
Question
King's unlevered cost of equity is 11 percent and its pretax cost of debt is 8 percent. The firm has a debt-equity ratio of 0.4. If the tax rate is 21 percent, what is King's cost of equity?Multiple choice question.11.95%11%12.59%10.59%
Solution
To calculate the cost of equity, we need to use the Modigliani-Miller theorem, which states that the cost of equity is equal to the unlevered cost of equity plus the debt-equity ratio times the difference between the unlevered cost of equity and the after-tax cost of debt.
Here are the steps:
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Calculate the after-tax cost of debt: Cost of debt after tax = Pretax cost of debt * (1 - Tax rate) = 8% * (1 - 0.21) = 6.32%
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Calculate the difference between the unlevered cost of equity and the after-tax cost of debt: Difference = Unlevered cost of equity - After-tax cost of debt = 11% - 6.32% = 4.68%
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Multiply the difference by the debt-equity ratio: Product = Debt-equity ratio * Difference = 0.4 * 4.68% = 1.872%
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Add the product to the unlevered cost of equity to get the levered cost of equity: Levered cost of equity = Unlevered cost of equity + Product = 11% + 1.872% = 12.872%
So, the closest answer to King's cost of equity is 12.59%.
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