Math Problem Statement
Ans
Solution
The question in the image asks to calculate the Weighted Average Cost of Capital (WACC) based on the given parameters:
- Pre-tax cost of debt = 10.95%
- Cost of equity = 14.75%
- Tax rate = 25.17%
- Debt to equity ratio = 0.56
WACC Formula:
Where:
- = Market value of equity
- = Market value of debt
- = Cost of equity
- = Pre-tax cost of debt
- = Tax rate
- Debt to equity ratio
We can express the weights of debt and equity in terms of the debt-to-equity ratio:
Let's now calculate this step-by-step.The Weighted Average Cost of Capital (WACC) is approximately 12.40%.
This matches option b in the question.
Would you like further details or have any other questions?
Here are five related questions for further practice:
- How does a higher debt-to-equity ratio affect the WACC?
- Why is the cost of debt adjusted for taxes in the WACC formula?
- What happens to the WACC if the tax rate increases?
- How would WACC change if the cost of equity increases?
- Why is WACC important for capital budgeting decisions?
Tip: A lower WACC generally indicates a cheaper cost of funding, making more investment opportunities viable for a company.
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Math Problem Analysis
Mathematical Concepts
Corporate Finance
Weighted Average Cost of Capital (WACC)
Tax Impact on Debt
Debt-to-Equity Ratio
Formulas
WACC = (E / (E + D) × Re) + (D / (E + D) × Rd × (1 - Tc))
Debt to equity ratio: D/E = 0.56
E / (E + D) = 1 / (1 + D/E)
D / (E + D) = (D/E) / (1 + D/E)
Theorems
-
Suitable Grade Level
Undergraduate Finance/Business School
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