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In this problem, you will be calculating the optimal capital structure for a hypothetical company by identifying the lowest WACC over a range of potential

In this problem, you will be calculating the optimal capital structure for a hypothetical company by identifying the lowest WACC over a range of potential debt and equity percentages. Use the information provided below to complete the table and calculate the: i) after-tax cost of debt, ii) the levered beta, iii) cost of equity, and iv) the WACC. Once you've completed the table, state which percentage of debt provides the lowest WACC and indicate the WACC value.
Percent Financed with Debt (wd) Before-tax Cost Debt (rd) Input Data
Risk-free rate 4.5%
Market risk premium 5.5%
Unlevered beta 1.3
0% 5.0% Tax rate 35.0%
10% 5.8%
20% 7.3%
30% 9.2%
40% 11.5%
50% 14.4%
60% 17.9%
Fill in formulas in the yellow cells to find the optimum capital structure.
(i) (ii) (iii) (iv)
% Debt % Equity Debt/Equity A-T Cost of Levered Cost of
Ratio (wd) Ratio (ws) Ratio (wd/ws) Debt (rd) Beta Equity WACC
0% 100% 0.00
10% 90% 0.11
20% 80% 0.25
30% 70% 0.43
40% 60% 0.67
50% 50% 1.00
60% 40% 1.50
Optimum debt ratio =
WACC at optimum debt ratio =

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