The correct answer is B (10.9%).
Explanation:
The weighted average cost of capital (WACC) is calculated using the formula:
WACC=Wd×rd×(1−t)+Wp×rp+We×re
Where:
- Wd = Weight of debt = €60 million / (€60 + €20 + €120) million = 0.30
- rd = Before-tax cost of debt = 6%
- t = Marginal tax rate = 40%
- Wp = Weight of preferred stock = €20 million / (€60 + €20 + €120) million = 0.10
- rp = Cost of preferred stock = 8%
- We = Weight of equity = €120 million / (€60 + €20 + €120) million = 0.60
- re = Cost of equity = 15%
Substituting the values:
WACC=(0.30×6%×(1−0.40))+(0.10×8%)+(0.60×15%)
WACC=(0.30×6%×0.60)+0.8%+9%
WACC=1.08%+0.8%+9%=10.88%
This rounds to 10.9%, making B the correct choice.
Why not A or C?
- A (9.7%) is incorrect because it averages the costs without weighting them by market value.
- C (11.6%) is incorrect because it uses the before-tax cost of debt without adjusting for the tax shield.