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Tracking Error

Tracking error measures how closely a fund's return follows the return of the benchmark index it is built to track, usually expressed as the standard deviation of the difference between the two over time. A lower tracking error means the fund is doing a better job of matching its index.

Last reviewed by Steven Fox, CFP®, EA on

Quick Summary

  • Tracking error is a statistical measure of consistency, showing how much a fund's period-by-period returns deviate from its benchmark's, not just whether the two end up close over one stretch of time.
  • It is calculated as the standard deviation of the return differences between the fund and its benchmark, so it captures the volatility of the gap rather than the average size of the gap.
  • Fund expenses, sampling instead of holding every index constituent, cash held for redemptions, and the timing of trades around index changes are the common sources of tracking error for an index fund or ETF.
  • Tracking error is distinct from tracking difference, which is simply the total gap between a fund's return and its index's return over a stated period, without the volatility calculation.
  • A near-zero tracking error is the goal for a fund built to replicate an index; it is not a meaningful concept for a fund that is not trying to match a benchmark in the first place.

Definition

Tracking error is a measure of how consistently a fund's returns match the returns of the index or benchmark it is designed to follow, calculated as the standard deviation of the difference between the fund's return and the benchmark's return over a series of periods. It answers a narrower question than simply whether a fund beat or lagged its benchmark overall: it asks how much the gap between the two bounced around from period to period.

A fund with a tracking error near zero moved almost in lockstep with its benchmark throughout the measurement period, even if it ended up slightly ahead or behind by the end. A fund with a high tracking error had a return that diverged from its benchmark unevenly, sometimes ahead and sometimes behind by meaningful amounts, even if the two happened to land close together over the full period measured.

Advanced Explanation

Because it is a standard deviation, tracking error measures the volatility of the deviation, not the deviation itself. Two funds can have the same average shortfall against their benchmark and very different tracking errors: one that trails its benchmark by a small, steady amount every single period has a low tracking error despite consistently underperforming, while one that sometimes beats its benchmark by a wide margin and sometimes lags by a wide margin, even if the two roughly offset over time, has a high tracking error despite ending up close to even. This is why tracking error is a measure of consistency and predictability relative to the benchmark, not a measure of whether the fund did better or worse.

The result is distinct from, and often confused with, tracking difference. Tracking difference is simply the total return gap between a fund and its benchmark over a stated period, a single number with no volatility component. A fund can have a small tracking difference over a year and still show meaningful tracking error within that year if the gap moved around a lot month to month before roughly canceling out, and the reverse is also possible. The two figures answer related but different questions, and a fund's marketing material tends to emphasize whichever one looks better.

For a fund built to replicate an index, several everyday sources produce tracking error even when nothing has gone wrong. The fund's own operating expenses are a constant drag the benchmark index itself does not carry, since an index is a hypothetical calculation with no costs of its own. Funds that hold a representative sample of an index's constituents rather than every single one, a common practice for very large or illiquid indexes, will diverge somewhat from the index's exact composition. Funds hold a small amount of cash to meet shareholder redemptions without needing to sell securities immediately, and that uninvested cash behaves differently from the fully invested index. And when an index periodically changes its constituents, a fund executing the corresponding trades faces timing and transaction costs the index calculation itself never experiences. None of these sources implies the fund is poorly managed; they are the ordinary cost of running a real portfolio against a costless theoretical benchmark.

Securities lending and dividend timing add smaller, more technical sources of divergence. A fund may lend out securities it holds for a fee, which can add a small positive contribution against the benchmark, while differences in exactly when dividends are received and reinvested compared with how the index calculation treats them can add or subtract a small amount either way. None of these typically dominates the total, but they are part of why even a well-run index fund rarely shows a tracking error of precisely zero.

Tracking error is a meaningful concept only for a fund trying to match a benchmark in the first place. An index fund or an ETF built to replicate a specific index is the natural subject of the measure, since the whole point of the fund is close, consistent tracking. A fund pursuing an active strategy that is not attempting to replicate any particular index is not usefully judged by tracking error at all, since deviating from a benchmark is the explicit goal of active management rather than a flaw to be minimized.

Used in a Sentence

“When comparing two funds tracking the same index, Wei looked past the headline expense ratios and checked each fund's tracking error, since the cheaper fund on paper had shown more volatile deviation from the index over the past three years.”

How It Works

Over a series of periods, typically months, the fund's return and the benchmark's return are each recorded, and the difference between the two is calculated for every period. The standard deviation of that series of differences is the tracking error.

A hypothetical example. Over six months, a fund's monthly returns relative to its benchmark differ by these amounts: +0.10%, −0.15%, +0.05%, −0.20%, +0.15%, −0.05%. The average of these six differences is close to −0.02%, a very small tracking difference over the period.

But the differences themselves swing meaningfully from month to month, ranging from +0.15% to −0.20%, and the standard deviation of that series, which is the tracking error, comes out to roughly 0.14% on a monthly basis. A second fund whose monthly differences from the same benchmark were −0.03% every single month would show almost the same small average tracking difference, close to −0.02% to −0.03% over the period, but a tracking error near zero, because its deviation from the benchmark barely moved at all. The first fund's result is less predictable, month to month, even though the two funds ended up in nearly the same place.

Pros and Cons

Pros

  • Gives a precise, comparable way to judge how faithfully a fund replicates its stated benchmark, beyond simply comparing headline annual returns.
  • Low tracking error on a broad, low-cost index fund is a reasonable signal of disciplined, well-run index replication.
  • Helps separate the ordinary, unavoidable costs of running a real portfolio from genuine management or execution problems within a fund.
  • Standardized as a statistical calculation, so it can be compared across funds tracking the same or similar benchmarks.

Cons

  • Measures consistency of deviation, not the size or direction of it, so a fund that consistently underperforms by a small amount can show a lower tracking error than one that occasionally outperforms by a larger amount.
  • Easily confused with tracking difference, which answers a related but different question about total return gap over a period.
  • Meaningless for a fund not attempting to replicate a specific benchmark, so it has no application to most actively managed strategies.
  • A low historical tracking error is not a guarantee of future tracking, and it says nothing about the appropriateness of the underlying benchmark itself.

People Also Asked

Answers to the most frequently asked questions.

What is the difference between tracking error and tracking difference?
Tracking difference is the total gap between a fund's return and its benchmark's return over a stated period, a single figure with no volatility component. Tracking error is the standard deviation of the period-by-period differences between the two, measuring how much that gap bounced around rather than how large it ended up being. A fund can show a small tracking difference and still have a meaningful tracking error if the gap moved a lot before roughly canceling out.
What causes tracking error in an index fund?
The fund's own operating expenses, which the theoretical index does not carry; sampling a representative subset of the index rather than holding every constituent; cash held to meet shareholder redemptions; and the costs and timing of trading around periodic index changes are the most common sources. Securities lending income and differences in dividend timing can add smaller adjustments in either direction.
Is a lower tracking error always better?
For a fund whose stated goal is to replicate a specific benchmark as closely as possible, yes, lower is generally better, since it means the fund is delivering the exposure it promises with more consistency. Tracking error is not a meaningful measure for a fund that is not trying to match a benchmark, such as most actively managed strategies, where deviating from a benchmark is the explicit goal rather than a shortcoming.
Does tracking error apply to actively managed funds?
Not in any useful sense, since the measure assumes the fund is trying to replicate a benchmark and evaluates how well it did so. An actively managed fund is deliberately trying to produce a return different from its benchmark, so a large gap is the intended outcome rather than a flaw, and tracking error is not a meaningful way to judge whether the fund's active decisions were good ones.
Can two funds tracking the same index have different tracking errors?
Yes, and it happens routinely. Differences in expense ratio, whether the fund fully replicates the index or samples a subset of its constituents, how much cash it holds for redemptions, and how it manages trading around index changes can all produce different tracking error even between funds targeting the identical benchmark. Comparing tracking error alongside cost is a useful step before choosing between two funds that track the same index.

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