Investing & Returns

Geometric Average Return

Calculate the constant per-period return equivalent to a sequence of variable investment returns.

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 equal-period returns (%).
  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

Geometric average = exp(mean(log(1+rᵢ)))−1.

Assumptions and limitations

Use your own matching-period observations. These descriptive calculations are not forecasts, investment advice or a national dataset. Lists accept up to 100 comma-separated numbers; do not enter thousands separators. Periods must have equal duration; returns must exceed −100%.

Worked example

For the sample inputs shown above, geometric average return produces a first result of approximately 5.91045006. The assumptions below explain what this result represents.

What the result means

Calculate the constant per-period return equivalent to a sequence of variable investment returns.

Common questions

How is the calculation performed?

Geometric average = exp(mean(log(1+rᵢ)))−1.

What does the model leave out?

Use your own matching-period observations. These descriptive calculations are not forecasts, investment advice or a national dataset. Lists accept up to 100 comma-separated numbers; do not enter thousands separators. Periods must have equal duration; returns must exceed −100%.

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.