Capital Asset Pricing ModelCAPM

The Capital Asset Pricing Model (CAPM) estimates the return investors should require from an asset: risk-free rate + beta × (expected market return − risk-free rate). It links expected return to market risk and is widely used to set the cost of equity.

How much return should a stock be expected to deliver? CAPM gives a simple answer: the risk-free rate, plus extra compensation for how sensitive the stock is to the overall market. Despite its simplifying assumptions, it remains the standard way analysts estimate the cost of equity. This entry explains the formula, worked examples and its criticisms.

Category
Fundamentals and Macroeconomics
Reading time
3 min
Also called
CAPM formula, Capital asset pricing model formula, Security market line
Updated

CAPM in plain words

CAPM describes the relationship between expected return and the risk of investing in a security.1

Expected return equals the risk-free rate plus beta times the market's expected return minus the risk-free rate.1

Beta and alpha are both used in CAPM to assess a portfolio's theoretical performance.2

How to apply CAPM, step by step

  1. Risk-free rate

    Usually a government bond yield. See Risk-Free Rate.

  2. Expected market return

    Long-run estimate for the market.

  3. Market risk premium

    Market return − risk-free rate. See Equity Risk Premium.

  4. Beta

    The stock's sensitivity to the market. See Beta.

  5. Combine

    Rf + β × premium.

  6. Use the result

    As a discount rate or hurdle. See Discounted Cash Flow.

Worked examples

Example 1 — Average-risk stock

9%

Risk-free 4%, market return 9%, beta 1.0.

Example 1 — Average-risk stock — calculation
Expected return4% + 1.0 × 5% = 9%

With a beta of 1, CAPM expects the same return as the market.1

Example 2 — High-beta stock

12%

Same market, beta 1.6.

Example 2 — High-beta stock — calculation
Expected return4% + 1.6 × 5% = 12%

Higher beta means more market risk and a higher required return.2

Example 3 — Judging performance

+3 alpha

The beta-1.6 stock actually returns 15%.

Example 3 — Judging performance — calculation
CAPM expected12%
Alpha15% − 12% = +3 points

Returns above the CAPM expectation count as positive alpha. See Alpha.

CAPM inputs

AspectTypical sourceMain uncertainty
Risk-free rate10-year TreasuryWhich maturity to use
Market premiumHistory or impliedWide range of estimates
BetaRegression vs an indexUnstable over time
OutputCost of equityOnly as good as inputs

How CAPM is used

Advantages and disadvantages

Advantages

  • Simple, widely understood.
  • Links risk and return explicitly.
  • Standard in corporate finance.

Disadvantages

  • Assumes one risk factor (the market).
  • Beta and premium estimates are unstable.
  • Real returns often deviate from predictions.

Going deeper

Read as far as you need. Each level builds on the one before it.

Only market risk counts

Beginner

CAPM assumes company-specific risk can be diversified away, so only market risk (beta) earns a premium. See Systematic and Systemic Risk.

The risk premium

Intermediate

CAPM subtracts the risk-free rate from the expected market return, weights it by beta to get the risk premium, then adds the risk-free rate back.2

Beyond one factor

Advanced

Because CAPM leaves much of returns unexplained, multi-factor models add size, value, momentum and other factors. See Factor Investing.

Common mistakes

  1. Treating output as a forecast

    It is a required, not guaranteed, return.

  2. Using stale beta

    Beta changes over time.

  3. Mismatched horizons

    Match the risk-free rate to the horizon.

  4. Ignoring other risks

    Liquidity and size also matter.

Check your understanding

Test yourself before moving on. Each answer comes with an explanation.

Q1Risk-free 3%, market return 10%, beta 0.8. CAPM return?
Q2What does beta measure in CAPM?

Key points to remember

  1. CAPM: expected return = Rf + β × (Rm − Rf).
  2. It prices only market risk.
  3. It is widely used for the cost of equity.
  4. Returns above CAPM are alpha.
  5. Inputs are uncertain estimates.

Frequently asked questions

Who developed CAPM?

William Sharpe, John Lintner, Jack Treynor and Jan Mossin in the 1960s.

Is CAPM still used?

Yes, it remains standard for estimating the cost of equity despite its limits.

What is the security market line?

A chart of CAPM expected returns against beta.

Further learning

Sources

This article is written in our own words. The sources below support the specific facts, rules and figures marked with a number in the text. Links open the original publisher’s page.

  1. Corporate Finance Institute. CAPM Formula (opens in a new tab) Checked .
  2. Corporate Finance Institute. Alpha (opens in a new tab) Checked .

Educational content, not financial advice. Examples use hypothetical prices and simplified costs; actual fees, margin rules and regulations vary by broker, market and country. We are not affiliated with any publisher linked above. Last reviewed . Report an error or request a source credit.