Investment

CAPM Calculator

Estimate a required return from the risk-free rate, market return, and beta.

Inputs

Model parameters

Result

Start with your numbers

Review or adjust your inputs, then calculate to see your results and interpretation.

Understand this calculation

The market premium is market return minus the risk-free rate. Beta scales it into systematic risk compensation; the result is a model-required return, not a guaranteed outcome.

See calculation method and assumptions

Formula

CAPM

Variables, rates and periods

Ri
CAPM required return, not a guaranteed return.
Rf
Risk-free rate, using the same period as market return.
Rm
Market portfolio return.
β
Sensitivity to market returns, not total risk.

Interpret a negative premium

  • A market-return assumption below the risk-free rate gives a negative premium.
  • The formula remains defined, but the horizon and forward-looking assumptions merit review.

Estimate a required return from the risk-free rate, market return, and beta.

Worked example

  1. Match the currency and horizon of risk-free and market rates.
  2. Market premium is 9% − 3% = 6%.
  3. Required return is 3% + 1.2 × 6% = 10.2%.

Frequently asked questions

Can beta be negative?

Yes. Negative beta indicates inverse co-movement with the chosen market; a positive premium can then imply a required return below the risk-free rate.

What are the limitations?

CAPM assumes diversified investors, common expectations, and idealized trading conditions. Beta, risk-free asset, and market-proxy choices affect the result, and the model does not capture every risk.

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