Given an optimal capital structure that is 50% debt and 50% common stock, calculate the weighted average cost of capital for the

Question

Colt1911

9 days ago

8

Given an optimal capital structure that is 50% debt and 50% common stock, calculate the weighted average cost of capital for the

company given the following additional information:
Bond Coupon Rate = 8% Bond Yield to Maturity = 6% Dividend, expected = $5 Price, common = $80
Growth Rate = 5% Corporate Tax Rate = 30 %
A) Less than 5.0%.
B) More than 5.0% and less than 6.25%.
C) More than 6.25% and less than 7.5%.
D) More than 7.5%.

Business

2 answers:

Scilla [3.5K] · Answer 1 · 2026-03-29T23:30:49+03:00

Since the WACC exceeds 7.5%, option D is the appropriate selection. Explanation: The weighted average cost of capital (WACC) reflects a company’s capital structure costs. To compute WACC, we evaluate the weight of respective capital structure components alongside the cost of each. The components can include debt, preferred stock, and common stock. The WACC formula is as follows: WACC = wD * rD * (1-tax rate) + wP * rP + wE * rE. Here, w denotes the weight, and r indicates the cost for each component—debt (D), preferred stock (P), and common stock (E). Initially, we derive costs of debt and equity. We apply the market value of debt in the WACC calculation. The cost of debt takes its yield to maturity as the current rate, thus rD is set at 6%. We can ascertain the cost of equity utilizing the constant growth model for dividends. Thus, we can develop the equation P0 = D0 * (1+g) / (r - g), yielding values of 80 = 5 * (1+0.05) / (r - 0.05) simplifying to 80(r - 0.05) = 5.25. Solving grants us r = 0.115625 or 11.5625%. Now, calculating WACC yields WACC = 0.5 * 0.06 * (1-0.3) + 0.5 * 0.115625 = 0.0788125 or 7.88125%. Thus, since WACC is greater than 7.5%, option D remains correct.

Nady [3.2K] · Answer 2 · 2026-03-29T23:33:51+03:00

Nady [3.2K]9 days ago

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