Financial Statistics

Tracking Error and Information Ratio

Measure variability and average value of historical returns relative to a benchmark.

Your numbers

Sample inputs are illustrative. Changing currency changes labels only.

Your result

Preparing the sample calculation…

Shared links include your entered amounts. Saved scenarios stay in this tab only.

How to use this calculator

  1. Enter benchmark returns (%), portfolio 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

Active returns = portfolio−benchmark; tracking error = sample SD(active returns); information ratio = mean(active)/tracking error.

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. Per-period percentage-point tracking error; no annualization. Zero tracking error makes the ratio undefined.

Worked example

For the sample inputs shown above, tracking error and information ratio produces a first result of approximately 1. The assumptions below explain what this result represents.

What the result means

Measure variability and average value of historical returns relative to a benchmark.

Common questions

How is the calculation performed?

Active returns = portfolio−benchmark; tracking error = sample SD(active returns); information ratio = mean(active)/tracking error.

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. Per-period percentage-point tracking error; no annualization. Zero tracking error makes the ratio undefined.

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.

Background reference: www.itl.nist.gov — financial method. FinanceMath implements its own calculator.