The After-Tax Cost of Equity Formulas
The After-Tax Cost of Equity Calculator uses two models — CAPM and the Dividend Growth Model — then adjusts for investor-level taxation. With a 3.5% risk-free rate, 6% market risk premium, beta of 1.2, and 25% tax rate, CAPM yields 10.70% pre-tax and 8.02% after-tax. DGM (2% dividend yield + 3% growth) yields 5.00% pre-tax and 3.75% after-tax, blending to 5.89%.
CAPM Cost of Equity = Risk-Free Rate + Beta x Market Risk Premium
DGM Cost of Equity = Dividend Yield + Dividend Growth Rate
After-Tax Cost = Pre-Tax Cost x (1 - Tax Rate / 100)
Blended After-Tax = (After-Tax CAPM + After-Tax DGM) / 2
Equity Risk Premium = Beta x Market Risk Premium
The key: unlike debt interest, equity costs are not tax-deductible for the company. The "after-tax" adjustment reflects the investor's tax burden on returns — at 25%, every $1 of equity return nets $0.75.
Worked Example: Estimating After-Tax Cost of Equity
An investor evaluates a stock with the following parameters.
Inputs:
- Risk-Free Rate: 3.5%
- Market Risk Premium: 6.0%
- Beta: 1.2
- Corporate Tax Rate: 25%
- Dividend Yield: 2.0%
- Dividend Growth Rate: 3.0%
Step-by-step:
- CAPM Cost of Equity: 3.5% + 1.2 x 6.0% = 3.5% + 7.2% = 10.70%
- DGM Cost of Equity: 2.0% + 3.0% = 5.00%
- After-Tax CAPM: 10.70% x (1 - 0.25) = 10.70% x 0.75 = 8.02%
- After-Tax DGM: 5.00% x 0.75 = 3.75%
- Blended After-Tax Cost: (8.02% + 3.75%) / 2 = 5.89%
- Equity Risk Premium: 1.2 x 6.0% = 7.20%
The 5.70 point CAPM-DGM gap indicates the dividend model underestimates this stock's required return — typical for companies where growth exceeds dividend payout.
When to Use CAPM vs. DGM
The choice between models depends on the company's characteristics:
| Company Type | Best Model | Why |
|---|---|---|
| Growth stocks (no dividends) | CAPM only | No dividend data for DGM — growth rate is speculative |
| Mature dividend payers | Both (blend) | DGM is grounded in observable dividends; CAPM adds risk perspective |
| Utilities / REITs | DGM-weighted | Stable, predictable dividends make DGM highly reliable |
| High-beta tech stocks | CAPM-weighted | Beta captures the systematic risk that dividends don't reflect |
| Startups / pre-revenue | Modified CAPM | Use industry beta as proxy — DGM is inapplicable |
For the example stock (beta 1.2, 2% yield), the CAPM-based 8.02% better reflects its risk profile since the 5.00% DGM cost suggests the market demands less return than the stock's volatility warrants.
