How it works
The weighted average cost of capital (WACC) is the average return a company must pay its providers of finance, with each source weighted by its share of total market value. It is the hurdle rate for investment appraisal. A project with the same risk as the existing business adds value only if it earns more than WACC, which is why WACC is the discount rate in the NPV of a typical project.
The formula
WACC
WACC = (E ÷ V) × Ke + (D ÷ V) × Kd × (1 − t) [+ (P ÷ V) × Kp]
V = E + D [+ P]E, D and P are the market values of equity, debt and preference shares. Ke is the cost of equity, Kd the pre-tax cost of debt, Kp the cost of preference shares and t the corporate tax rate. Debt is cheaper for two reasons: lenders take less risk than shareholders, and interest attracts tax relief.
Cost of equity using CAPM
Capital asset pricing model
Ke = Rf + β × (Rm − Rf)Switch on CAPM in the calculator to derive Ke from the risk-free rate, the equity beta and the expected market return. The beta must be the equity (geared) beta for the company's current capital structure.
Worked example
A company's shares are worth 6,000,000 and its loan notes 4,000,000 at market value. The cost of equity is 12%, the pre-tax cost of debt is 8% and tax is 30%.
- V = 6,000,000 + 4,000,000 = 10,000,000, so the weights are 60% equity and 40% debt.
- After-tax cost of debt = 8% × (1 − 0.30) = 5.6%.
- WACC = 0.60 × 12% + 0.40 × 5.6% = 7.20% + 2.24% = 9.44%.
Using CAPM instead, with Rf 4%, β 1.2 and Rm 9%: Ke = 4% + 1.2 × (9% − 4%) = 10%, giving WACC = 0.60 × 10% + 0.40 × 5.6% = 8.24%.
Common exam errors
- Using nominal (book) values of loan notes rather than market values.
- Forgetting the tax shield on debt, or applying it to preference shares.
- Using a cum-dividend share price. Remove the imminent dividend first.
- Using WACC to appraise a project whose risk differs from the company's existing business.
