Tracking Error Calculator
Free tracking error and information ratio calculator. Measure active risk by comparing portfolio returns against a benchmark index over time.
How the Tracking Error Calculator Works
The tracking error calculator measures how consistently a portfolio deviates from its benchmark index. Tracking error is the annualized standard deviation of the difference between portfolio returns and benchmark returns. A low tracking error means the portfolio closely follows the benchmark. A high tracking error indicates significant active management or style drift.
Enter your portfolio returns and benchmark returns for the same periods (monthly, quarterly, or annual). The calculator computes the excess return for each period as the portfolio return minus the benchmark return. It then calculates the tracking error as the annualized standard deviation of these excess returns.
The information ratio divides the annualized mean excess return by the tracking error. This measures how much active return you generate per unit of active risk. An information ratio above 0.5 is considered excellent, between 0.25 and 0.5 is good, and below 0.25 is marginal. A negative information ratio means the portfolio underperformed the benchmark on a risk-adjusted basis.
The period-by-period table shows each period's portfolio return, benchmark return, excess return, and cumulative excess return. This helps you identify when the portfolio deviated most from the benchmark and whether deviations were persistent or sporadic. Use this analysis to evaluate your active management strategy or compare fund managers.
Step by step
- Enter your portfolio returns and benchmark returns for matching periods.
- Select the period type (monthly, quarterly, or annual) for annualization.
- Review tracking error, information ratio, mean excess return, and period-by-period breakdown.
Worked Example
Suppose you have 12 monthly returns for your portfolio and the S&P 500 benchmark. Your portfolio returns average 1.5 percent per month while the benchmark averages 1.0 percent. The monthly excess returns average 0.5 percent with a standard deviation of 1.2 percent. The tracking error is 1.2 percent times the square root of 12, which equals approximately 4.16 percent annualized.
The annualized excess return is 0.5 percent times 12, which equals 6.0 percent. The information ratio is 6.0 divided by 4.16, which equals 1.44. This is an excellent information ratio, meaning the portfolio generated strong active returns relative to the risk taken. The period-by-period table would show which months contributed most to outperformance.
When to Use This Calculator
Use the tracking error calculator to evaluate active fund managers and determine whether their active risk is justified by active returns. Compare tracking error across funds in the same category to find managers with consistent strategies. Use it to monitor your own portfolio's style drift relative to your intended benchmark.
Pair this tool with the portfolio beta calculator to understand both systematic risk (beta) and active risk (tracking error). The rolling returns visualizer helps identify whether tracking error is stable or changing over time.
Common Mistakes
A common mistake is comparing returns over different time periods. Tracking error is only meaningful when portfolio and benchmark returns cover the exact same periods. Another frequent error is using too few data points. At least 12 monthly observations (one year) are needed for a reliable tracking error estimate. Thirty-six months or more is preferred.
Confusing tracking error with standard deviation is another pitfall. Standard deviation measures total portfolio volatility. Tracking error measures only the volatility of the difference between portfolio and benchmark. A portfolio can have high total volatility but low tracking error if it closely tracks a volatile benchmark. Always compare tracking error to the information ratio for complete context.
Tracking Error Formula
For each period i:
excess_return_i = portfolio_return_i - benchmark_return_i
mean_excess = sum(excess_return_i) / n
excess_variance = sum((excess_return_i - mean_excess)^2) / (n - 1)
tracking_error = sqrt(excess_variance) x sqrt(periods_per_year)
information_ratio = (mean_excess x periods_per_year) / tracking_error
If mean_excess > 0: Outperformance
If mean_excess < 0: Underperformance
IR Interpretation:
>= 0.5: Excellent
0.25 to 0.5: Good
0 to 0.25: Marginal
< 0: Negative
Tracking error assumes returns are normally distributed. Real markets exhibit fat tails and skewness. The information ratio can be misleading with short return series or non-normal distributions. Use at least 36 monthly observations for reliable estimates. Annualization assumes returns are independent and identically distributed.
Limitations and Assumptions
This calculator assumes returns are normally distributed and independent across periods. Real markets exhibit fat tails, skewness, and autocorrelation. Tracking error estimates with fewer than 36 monthly observations may be unreliable. The information ratio can be misleading for short periods or non-normal return distributions. Past tracking error does not predict future tracking error. Consult a qualified financial advisor before making investment decisions.
Key Terms
- Tracking Error
- The annualized standard deviation of excess returns (portfolio minus benchmark). Measures how consistently a portfolio deviates from its benchmark.
- Information Ratio
- Annualized mean excess return divided by tracking error. Measures active return per unit of active risk. Above 0.5 is excellent.
- Excess Return
- The difference between portfolio return and benchmark return for a given period. Positive means outperformance, negative means underperformance.
Compare Alternatives
The tracking error calculator works alongside the portfolio beta calculator to give a complete picture of both systematic and active risk. Use the rolling returns visualizer to see whether tracking error is stable or changing over time.
For active manager selection, pair this tool with the sharpe sortino ratio calculator. Tracking error evaluates active risk while Sharpe ratio evaluates total risk-adjusted return.
FAQ
What is tracking error?
Tracking error measures how much a portfolio's returns deviate from its benchmark index over time. It is calculated as the annualized standard deviation of the excess returns (portfolio return minus benchmark return). A tracking error of 2 percent means the portfolio typically deviates from the benchmark by plus or minus 2 percent in a given year.
What is a good information ratio?
An information ratio above 0.5 is considered excellent, indicating strong active returns relative to active risk. Between 0.25 and 0.5 is good. Below 0.25 is marginal, meaning the active risk is not well compensated. A negative information ratio means the portfolio underperformed the benchmark. Most actively managed funds have information ratios between 0.2 and 0.4 over long periods.
How many periods of data do I need?
At least 12 monthly observations (one year) are needed for a basic tracking error estimate. However, 36 months (three years) or more is strongly recommended for statistical reliability. Shorter periods can give misleading results due to random variation. Quarterly data requires at least 12 quarters (three years). Annual data needs at least 5 to 10 years for meaningful analysis.
What is the difference between tracking error and beta?
Beta measures systematic risk, or how much the portfolio moves with the market. A beta of 1.2 means the portfolio moves 20 percent more than the market. Tracking error measures active risk, or how much the portfolio deviates from the benchmark after accounting for beta. A passive index fund has beta near 1.0 and tracking error near zero. An active fund may have any beta but typically has positive tracking error.
Can tracking error be negative?
No. Tracking error is a standard deviation, which is always zero or positive. Zero tracking error means the portfolio perfectly matches the benchmark. The information ratio can be negative if the portfolio underperforms the benchmark on average. A negative information ratio with low tracking error means consistent underperformance. A negative information ratio with high tracking error means erratic underperformance.
Can I use this calculator on my phone or tablet?
Yes. The Tracking Error Calculator runs entirely in your mobile browser with the same formulas as desktop. Optional localStorage may remember inputs on your device when enabled in browser settings. No app download required.
Where is my data stored when I use this calculator?
Nowhere on our servers. Calculations execute locally in your browser. Optional localStorage saves return series on your device only and never transmits financial data over the network. Your portfolio data never leaves your computer.
Should I rely on this calculator for investment decisions?
No. The Tracking Error Calculator provides educational analysis only. Past tracking error does not predict future tracking error. Fund strategies change, benchmarks are rebalanced, and market conditions evolve. Consult a qualified financial advisor before making investment decisions based on these calculations.
Related Tools
Use the Portfolio Beta Calculator to measure systematic risk alongside tracking error. The Sharpe Sortino Ratio Calculator evaluates total risk-adjusted returns. The Rolling Returns Visualizer shows performance consistency over time.