Tracking Error
Tracking error measures how closely a portfolio follows its benchmark. It is the standard deviation (a measure of how spread out values are) of the difference between the portfolio's returns and the benchmark's returns over a given period.
A low tracking error means the portfolio moves in lockstep with the benchmark. A high tracking error means the portfolio frequently deviates from the benchmark, sometimes outperforming and sometimes underperforming by significant amounts. Tracking error does not indicate whether the portfolio is beating or lagging the benchmark; it only measures the consistency of the difference.
Definition
Tracking error is calculated by taking the standard deviation of the return differences between a portfolio and its benchmark over a series of time periods. Each period (typically monthly or daily) produces one "active return," defined as the portfolio return minus the benchmark return. Tracking error is the standard deviation of those active returns.
Formula Concept
Tracking Error = Standard Deviation of (Portfolio Return − Benchmark Return)
First, calculate the active return for each period: the portfolio's return minus the benchmark's return. Then compute the standard deviation of those active returns across all periods. The result is typically annualized by multiplying the monthly standard deviation by √12, or the daily standard deviation by √252 (the approximate number of trading days per year).
For example, if a portfolio's monthly returns differ from the S&P 500 by amounts that have a standard deviation of 0.3% per month, the annualized tracking error is approximately 0.3% × √12 = 1.04%. That means the portfolio's return typically deviates from the benchmark by about 1 percentage point per year.
How to Interpret Tracking Error
Tracking error provides a quick classification of how actively a portfolio is managed relative to its benchmark. Lower values indicate passive or index-like management; higher values indicate more active decision-making.
| Annualized Tracking Error | Management Style | Typical Example |
|---|---|---|
| 0% – 0.5% | Pure index replication | S&P 500 index fund or ETF |
| 0.5% – 2% | Enhanced index or closet indexing | Index fund with minor tilts or sampling |
| 2% – 5% | Moderate active management | Large-cap active fund with benchmark-aware constraints |
| 5% – 10% | Active management | Concentrated stock picker or sector-focused fund |
| Above 10% | Highly active or benchmark-agnostic | Hedge fund, long-short equity, or unconstrained strategy |
Tracking error is neither good nor bad on its own. An index fund investor wants very low tracking error because the goal is to match the benchmark. An active manager deliberately accepts higher tracking error in pursuit of returns that exceed the benchmark. The question is whether the deviation is intentional and compensated.
Practical Example
Consider two portfolios benchmarked against the S&P 500 over a 12-month period. Each month, the active return (portfolio return minus benchmark return) is recorded.
| Metric | Portfolio A (Index Fund) | Portfolio B (Active Fund) |
|---|---|---|
| Average monthly active return | -0.02% | +0.15% |
| Monthly tracking error | 0.05% | 1.20% |
| Annualized tracking error | 0.17% | 4.16% |
| Information ratio | -0.14 | 0.43 |
Portfolio A tracks the benchmark closely, as expected for an index fund. Its tiny negative active return reflects the fund's expense ratio. Portfolio B takes significant active bets, resulting in a 4.16% annualized tracking error. Its positive average active return and information ratio of 0.43 suggest the active bets are generating some excess return, but with meaningful deviation from the benchmark along the way.
Tracking Error in the Active vs. Passive Debate
Tracking error plays a central role in evaluating active management. The key question is whether the active return (the return above the benchmark) justifies the tracking error (the risk of deviating from the benchmark). This relationship is captured by the information ratio, which divides active return by tracking error.
A fund with high tracking error but no excess return is taking active risk without delivering active reward. This is the worst outcome for an investor paying active management fees. Conversely, a fund with moderate tracking error and consistent excess return is adding value through its active decisions.
Tracking error also helps identify "closet indexers," funds that charge active management fees but closely replicate their benchmark. A fund with a 0.8% tracking error and an active management fee of 0.75% is, in practice, an expensive index fund. The tracking error reveals that the manager is making very few active bets despite the higher fee.
Institutional investors often set tracking error budgets for their portfolio managers. A mandate might specify a target tracking error of 3% to 5%, giving the manager enough room to express investment views while keeping the portfolio's risk profile recognizable relative to the benchmark. If a manager's tracking error drifts outside the budget, it triggers a review.
Known Limitations
Limitations to Keep in Mind
- Does not distinguish between upside and downside deviation. A portfolio that consistently outperforms its benchmark by varying amounts has a high tracking error, even though all the deviation is positive. Tracking error treats outperformance and underperformance equally.
- Depends on the benchmark choice. The same portfolio can have very different tracking errors depending on which benchmark is used. A small-cap growth fund benchmarked against the S&P 500 will show much higher tracking error than the same fund benchmarked against a small-cap growth index. An inappropriate benchmark makes tracking error misleading.
- Backward-looking measure. Tracking error is calculated from historical data and may not predict future deviations. A fund that maintained low tracking error for years could experience a sudden spike if the manager changes strategy or if market conditions shift.
- Can be manipulated at reporting dates. Some managers adjust portfolio holdings near quarter-end to reduce measured tracking error, then revert to more active positions afterward. This "window dressing" makes the fund appear more benchmark-aligned than it truly is.
- Does not capture all dimensions of active risk. A portfolio can have low tracking error against a broad equity index while taking concentrated sector bets. If those sector bets happen to offset each other in aggregate, the tracking error may understate the true level of active risk in the portfolio.
Further Reading
- Roll, R. (1992). "A Mean/Variance Analysis of Tracking Error." The Journal of Portfolio Management, 18(4), 13–22.
- Grinold, R.C. and Kahn, R.N. (2000). Active Portfolio Management: A Quantitative Approach for Providing Superior Returns and Controlling Risk. 2nd ed. McGraw-Hill.
- Cremers, K.J.M. and Petajisto, A. (2009). "How Active Is Your Fund Manager? A New Measure That Predicts Performance." The Review of Financial Studies, 22(9), 3329–3365.
Related Terms
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