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PERIODIC ACTIVE RISK / ANNUAL SCALE

Tracking Error Annualization Calculator

Annualize a supplied periodic active-return standard deviation. Review the entered period, benchmark, and risk assumptions alongside the result.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Scenario inputs

Preparing the calculator...

METHOD / WORKED EXAMPLE

Expose the assumption inside annualized active risk

This calculator performs one transparent scaling step after periodic tracking error has been estimated from matched portfolio-minus-benchmark returns; it does not conceal missing observations behind a ratio.

WORKED DEFAULT

Check the calculation with the default inputs

A monthly tracking error of 1.2% uses sqrt(12), about 3.4641, to produce an annualized tracking error of approximately 4.1569%.

  1. Use periodic deviationMonthly tracking error = 1.2%
  2. Find scale factorsqrt(12) = 3.4641
  3. Annualize1.2% x 3.4641 = 4.1569%

READ THE RESULT

Interpret the output in context

Use the result only when the periodic estimate and frequency are reliable. Autocorrelation, volatility shifts, sparse values, or overlapping returns can invalidate simple square-root scaling.

ASSUMPTIONS AND LIMITS

Know where the model stops

  • Periodic active returns use matching portfolio and benchmark dates.
  • Observations are represented by one consistent frequency.
  • Square-root-of-time scaling is acceptable for the intended analysis.

This tool annualizes an already calculated deviation; it does not estimate tracking error from raw portfolio and benchmark returns.

CFA Institute: risk-adjusted performance measures

COMMON QUESTIONS

Tracking Error Annualization Calculator FAQs

Does this calculate tracking error from returns?

No. First create a matched active-return series by subtracting benchmark return from portfolio return for every observation, then estimate the standard deviation using a documented sample or population convention. This page only annualizes that periodic estimate. Supplying total portfolio volatility, benchmark volatility, or a single active return does not produce tracking error.

What periods-per-year value should I enter?

Use the frequency of the active-return observations: commonly 12 for monthly, 52 for weekly, or an explicitly documented trading-day count for daily data. Do not infer frequency from the number of records in a partial sample. The portfolio, benchmark, and risk-free data policies should use matching timestamps, valuation rules, and return conventions.

When can square-root annualization be unreliable?

It relies on stable variance and an independence-style time-scaling assumption. Serial correlation, illiquid or smoothed prices, clustered volatility, overlapping observations, leverage changes, derivatives, and regime shifts can make the annualized figure misleading. Inspect the active-return series and consider methods appropriate to its statistical behavior rather than treating the scaling factor as universally valid.

Use boundary

Calculation path

Multiply periodic active-return standard deviation by the square root of the number of matching observations per year.

Calculation path

Annualized tracking error = periodic tracking error x sqrt(observations per year).