Financial Statistics

Jensen Alpha

Compare an observed portfolio return with a CAPM benchmark.

Your numbers

Sample inputs are illustrative. Changing currency changes labels only.

Your result

Preparing the sample calculation…

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How to use this calculator

  1. Enter portfolio return (%), risk-free return (%), market return (%), beta.
  2. Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
  3. Read the result with the assumptions below. Export details or save a second scenario to compare your choices.

Formula and method

Alpha = portfolio return − [risk-free + beta×(market−risk-free)].

Assumptions and limitations

Matching periods and reliable beta required; model error, fees and statistical significance are not measured.

Worked example

With portfolio return (%) = 12, risk-free return (%) = 2, market return (%) = 8, beta = 1, jensen alpha is approximately 4%.

What the result means

Positive alpha means the entered return exceeds this particular benchmark.

Common questions

How should I interpret jensen alpha?

Positive alpha means the entered return exceeds this particular benchmark.

What should I check before using this result?

Matching periods and reliable beta required; model error, fees and statistical significance are not measured.

Methodology and transparency

Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.