Math Problem Statement
Given the following calculate the WACC.
Solution
To calculate the Weighted Average Cost of Capital (WACC), we use the formula:
Where:
- is the market value of equity (Weight of Equity in Total Capital Structure)
- is the market value of debt (Weight of Debt in Total Capital Structure)
- is the total value of capital (which is 100% in this case)
- is the cost of equity
- is the cost of debt (Pre-tax Yield on Debt)
- is the tax rate
Steps:
-
Calculate the Cost of Equity using the Capital Asset Pricing Model (CAPM):
Substituting the given values:
-
Weight of Debt (D/V) = 33%
Weight of Equity (E/V) = 67% -
Pre-tax Yield on Debt (r_D) = 5.0%
-
Tax rate (T) = 26.5%
Now, using these in the WACC formula:
Let's compute this.The Weighted Average Cost of Capital (WACC) is approximately 8.35%.
Would you like more details or have any questions? Here are some related questions to explore further:
- How does an increase in the tax rate affect the WACC?
- What impact does a higher proportion of debt have on WACC?
- How is the cost of equity calculated using the CAPM model?
- Why is the after-tax cost of debt used in the WACC formula?
- How can WACC influence a company's investment decisions?
Tip: A lower WACC generally indicates cheaper access to capital, which can encourage investment.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Finance
Weighted Average Cost of Capital (WACC)
Capital Structure
Cost of Equity
Cost of Debt
Formulas
WACC = (E/V * r_E) + (D/V * r_D * (1 - T))
r_E = Risk Free Rate + β * (Return on Stock Market - Risk Free Rate)
Theorems
Capital Asset Pricing Model (CAPM)
WACC Formula
Suitable Grade Level
University-level Finance
Related Recommendation
Calculating Weighted Average Cost of Capital (WACC) for ABC
Calculate Weighted Average Cost of Capital (WACC): Step-by-Step Guide
Calculate WACC with Debt-Equity Ratio, Cost of Debt, Cost of Equity, and Tax Rate
Calculate WACC for FINA Corp's New Kitchen Appliances Business Using Comparable Firms
Calculate WACC for Kuhn Co.'s New Project: Investment Analysis