The Weighted Average Cost of Capital (WACC) is the rate a company is expected to pay to finance its assets. It represents the minimum return a business must earn to satisfy both debt and equity investors.
The WACC Formula
WACC = (E/V ร Re) + (D/V ร Rd ร (1 โ Tc))
Where:
- E = Market value of equity
- D = Market value of debt
- V = E + D (total firm value)
- Re = Cost of equity
- Rd = Cost of debt (pre-tax)
- Tc = Corporate tax rate
Step-by-Step Calculation
Step 1: Find the Capital Structure
A company has:
- Equity: ยฃ600 million (market cap)
- Debt: ยฃ400 million (market value of bonds)
- Total: ยฃ1,000 million
- E/V = 60%, D/V = 40%
Step 2: Cost of Equity (Re)
Use the Capital Asset Pricing Model (CAPM):
Re = Rf + ฮฒ ร (Rm โ Rf)
- Rf = Risk-free rate (e.g. UK gilt yield = 4.2%)
- ฮฒ = Beta (e.g. 1.3)
- Rm โ Rf = Market risk premium (e.g. 5%)
Re = 4.2% + 1.3 ร 5% = 4.2% + 6.5% = 10.7%
Step 3: Cost of Debt (Rd)
The pre-tax yield on the company's debt, e.g. 5.5%.
Step 4: Apply Tax Shield
Interest is tax-deductible, so the effective cost of debt is lower:
After-tax cost of debt = 5.5% ร (1 โ 0.25) = 4.125%
(Assuming 25% corporate tax rate)
Step 5: Calculate WACC
WACC = (60% ร 10.7%) + (40% ร 4.125%)
WACC = 6.42% + 1.65% = 8.07%
What WACC Is Used For
- Discounted Cash Flow (DCF) valuation โ WACC is the discount rate
- Investment decisions โ projects must return more than WACC to add value
- Capital structure optimisation โ finding the debt/equity mix that minimises WACC
Sensitivity Table
| Beta | Debt/Equity | WACC |
|---|---|---|
| 0.8 | 20% | 8.1% |
| 1.0 | 40% | 8.6% |
| 1.3 | 40% | 9.7% |
| 1.5 | 60% | 10.8% |
Limitations of WACC
- Assumes constant capital structure over time
- CAPM has its own assumptions (linear risk relationship, efficient markets)
- Hard to apply to private companies without a quoted beta
- Does not account for asymmetric information between debt and equity holders