1. The Universal WACC Formula
WACC represents the blended cost an organization pays to finance its assets through a combination of common equity, preferred equity, and interest-bearing debt:
Where:
E = Market Value of Equity (Market Capitalization)
D = Market Value of Debt
P = Market Value of Preferred Stock
V = Total Firm Capital = E + D + P
r_e = Cost of Equity
r_d = Pre-Tax Cost of Debt (Yield to Maturity on Bonds)
t = Marginal Corporate Income Tax Rate
r_p = Cost of Preferred Stock
2. Estimating Cost of Equity with CAPM
Because equity capital does not have a contractual interest coupon, its cost represents the opportunity cost required by common shareholders to compensate for market risk:
r_f = Risk-Free Rate (typically the yield on 10-year or 30-year US Treasury bonds)
β = Equity Beta (sensitivity of stock returns relative to broader market index)
ERP = Equity Risk Premium (r_m - r_f, historically 4.5% - 6.0%)
3. The Interest Tax Shield on Debt
Unlike equity dividend payments, debt interest is tax-deductible in most jurisdictions. The effective economic cost of debt is therefore reduced by the corporate marginal tax rate: r_d × (1 - t).
A manufacturing corporation has the following capital parameters:
- Capital Structure: Market Cap (E) = $600M • Total Debt (D) = $400M • Total Capital (V) = $1,000M
- Capital Weights: E/V = 60.0% • D/V = 40.0%
- Cost of Debt Inputs: Pre-Tax Cost of Debt (r_d) = 6.5% • Corporate Tax Rate (t) = 25.0%
After-Tax Cost of Debt = 6.5% × (1 - 0.25) = 4.875% - CAPM Cost of Equity Inputs: Risk-Free Rate (r_f) = 4.2% • Beta (β) = 1.20 • Equity Risk Premium = 5.0%
Cost of Equity (r_e) = 4.2% + (1.20 × 5.0%) = 4.2% + 6.0% = 10.20% - Final WACC Calculation:
WACC = (0.60 × 10.20%) + (0.40 × 4.875%)
WACC = 6.12% + 1.95% = 8.07%
Frequently Asked Questions
Should book value or market value be used for debt and equity weights?
Always use market values. Book value represents historical accounting costs, whereas WACC measures the expected cost of raising new marginal capital in modern financial markets today.
What is the Hamada Equation for un-levering Beta?
The Hamada equation removes the effect of financial debt leverage to isolate pure business operational risk: β_unlevered = β_levered / [1 + (1 - t) × (D / E)]. This allows analysts to compare peer betas across different capital structures.