Archive / Research Analyst / Valuation Principles
nism-series-xv-wacc-calculation-example[ RESEARCH ANALYST ]
A firm has a target capital structure comprising 60% Equity and 40% Debt. The Cost of Equity is 14.0%, the pre-tax Cost of Debt is 8.0%, and the corporate tax rate is 25%. What is the firm's Weighted Average Cost of Capital (WACC)?
[ A ]11.60 percent per annum
[ B ]14.00 percent per annum
[ C ]8.40 percent per annum
[ D ]10.80 percent per annum[ CORRECT ]
Takeaway
Option D is correct: 10.80 percent per annum
Derivation
WACC combines the required returns of equity and debt weighted by their proportion in the capital structure, factoring the interest tax shield on debt: Formula: WACC = [Ke * We] + [Kd * (1 - Tax Rate) * Wd]. Given: We = 0.60, Ke = 14.0%, Wd = 0.40, Kd = 8.0%, Tax = 25% (0.25). After-tax Cost of Debt = 8.0% * (1 - 0.25) = 8.0% * 0.75 = 6.0%. WACC = [14.0% * 0.60] + [6.0% * 0.40] = 8.40% + 2.40% = 10.80% per annum. WACC serves as the discount rate for FCFF to arrive at Enterprise Value. This tests WACC computation. The common error is using pre-tax debt (8%) yielding 11.60%.
Why the others fail
A — 11.60 percent per annum
11.60% fails to apply the corporate tax shield on debt interest ([14% * 0.60] + [8% * 0.40] = 8.4 + 3.2 = 11.60%).
B — 14.00 percent per annum
14.00% represents only the cost of equity, ignoring the lower cost of debt in the capital structure.
C — 8.40 percent per annum
8.40% represents only the equity contribution portion (14% * 0.60) without adding the after-tax debt cost.
Related questions
nism-series-xv-price-vs-value-buffett-klarmanResearch Analyst
How Do Value Investors Like Buffett Distinguish Price From Value?nism-series-xv-capm-cost-of-equity-exampleResearch Analyst
How Do You Calculate Cost of Equity Using CAPM?nism-series-xv-price-to-book-value-banks-vs-itResearch Analyst
Why Does Price-to-Book Work for Banks but Not IT Firms?