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CAPM (Capital Asset Pricing Model)

Cost of equity = risk-free rate + beta × equity risk premium. The most-cited model for translating systematic risk (beta) into a required return on equity.

When to use: Use to derive the discount rate (r) input for DDM, DCF, and Entry P/E formulas. CAPM gives a defensible cost-of-equity estimate that is consistent with the market's pricing of systematic risk.

Calculator

Formula

re=Rf+β×(RmRf)r_e = R_f + \beta \times (R_m - R_f)

Variables

SymbolNameDescriptionUnit
ReCAPMCost of Equity (CAPM)CAPM-implied required return on equity, as a decimal%
RfRisk-Free RateRisk-free rate as a decimal%
BetaBetaStock beta vs. the marketinteger
RmMarket ReturnExpected market return as a decimal%

Real-Life Examples

Example 1: Average-Beta Stock

10-year Treasury at 4%, expected market return 9%, stock beta 1.2.

Given

Rf = 0.04Beta = 1.20Rm = 0.09

Step-by-Step

1.Equity risk premium = 9% − 4% = 5%
2.Cost of equity = 4% + 1.2 × 5% = 4% + 6% = 10.00%
Result:0.10

10% cost of equity. A stock with beta 1.2 is 20% more volatile than the market on a systematic basis, earning a 200bp premium over the market's 5% ERP. Plug 10% into Gordon, DCF, or Entry P/E as the required return.

Frequently Asked Questions

Common practice: 4-6% for US developed markets based on long-term historical data, with adjustments for current rate levels. Aswath Damodaran publishes implied ERPs based on current market valuations — typically the most-cited reference figure for academics and practitioners.

CAPM is the single-factor base. Multi-factor models add small-cap and value-premium adjustments: r = Rf + β_market × ERP + β_SMB × SMB + β_HML × HML. For most retail-investor purposes CAPM is sufficient.

Most published betas are historical regressions over 2-5 years of weekly or monthly returns. Forward-looking beta (from option prices) exists but is harder to obtain. For valuation, the historical figure is the standard input.