Explanation
The Weighted Average Cost of Capital (WACC) is calculated using the formula:
WACC=wd×rd×(1−t)+we×re
Where:
- wd = weight of debt = 25% = 0.25
- rd = before-tax cost of debt = 4% = 0.04
- t = marginal tax rate = 20% = 0.20
- we = weight of equity = 75% = 0.75
- re = cost of equity = 12% = 0.12
Step-by-step calculation:
-
After-tax cost of debt:
rd×(1−t)=0.04×(1−0.20)=0.04×0.80=0.032 or 3.2%
-
Weighted cost of debt:
wd×after-tax cost of debt=0.25×0.032=0.008 or 0.8%
-
Weighted cost of equity:
we×re=0.75×0.12=0.09 or 9.0%
-
Total WACC:
0.008+0.09=0.098 or 9.8%
Verification:
WACC=(0.25×0.04×0.80)+(0.75×0.12)
=(0.25×0.032)+0.09
=0.008+0.09=0.098=9.8%
Therefore, the correct answer is A. 9.80%.
Why other options are incorrect:
- B. 10.00%: This would be the result if you forgot to account for the tax shield on debt (i.e., used before-tax cost of debt without tax adjustment).
- C. 10.25%: This might result from incorrectly calculating the tax effect or using wrong weights.