Two funds claim to track the same broad benchmark. Over five years Fund Alder annual returns differed from the index by -0.05%, +0.04%, -0.06%, +0.03% and -0.04%. Fund Birch differences were -1.9%, +2.4%, -3.1%, +2.7% and -1.5%. Reviewing the two, adviser Konstantin Zeleny should conclude that:
- A.Tracking error is the simple average of the return differences, so Fund Birch tracking error is near zero because its positive and negative deviations offsetThat average is the tracking DIFFERENCE. Offsetting deviations do not reduce the volatility of those deviations.
- B.Tracking error is a fund total standard deviation, so two funds holding the same securities must show similar tracking errorTracking error is the standard deviation of the DIFFERENCES from the benchmark, not of the fund returns themselves.
- C.Fund Birch is the superior choice, because larger deviations from the index demonstrate more active skillDeviating is not the same as adding value. Birch deviations were negative more often than positive here.
- D.Fund Birch has far higher tracking error, the volatility of its return differences versus the benchmark, which signals active or imprecise replication and by itself says nothing about whether returns were goodCorrect. Tracking error measures dispersion around the benchmark, not the quality of results.
Why: Tracking error is the volatility (standard deviation) of the differences between a portfolio return and its benchmark return. Fund Alder differences are tiny and stable, so its tracking error is very low, which is what an index investor wants. Fund Birch differences are large in both directions, so its tracking error is high, indicating active positioning or imprecise replication. High tracking error is not the same thing as good or bad performance; it only measures how far the fund wanders from the index.
Trustee Anneliese Brockhurst is evaluating a large-cap fund that charges an active management fee. Its reported ACTIVE SHARE is very low and its tracking error against its benchmark is also very low, yet the manager markets the fund as a high-conviction active strategy. What does this combination MOST likely indicate?
- A.The manager is taking large off-benchmark positions that happen to behave like the index, which is evidence of skilful risk control.Incorrect. Large off-benchmark positions would produce a HIGH active share. Low active share means the holdings themselves closely mirror the benchmark.
- B.The fund is a closet indexer: it delivers essentially benchmark-like exposure while charging an active fee, so it is likely to lag the benchmark by roughly its excess cost.Correct. Low active share plus low tracking error means near-index exposure, and the active fee then becomes a near-certain drag on relative return.
- C.The fund is a genuinely high-conviction strategy, since a low tracking error proves the manager is controlling risk well enough to justify the fee.Incorrect. Low tracking error paired with low active share indicates near-benchmark exposure, not conviction. It undermines rather than supports the marketing claim.
- D.Active share and tracking error are two names for the same statistic, so the pairing conveys no additional information.Incorrect. Active share compares HOLDINGS with the benchmark; tracking error measures the volatility of RETURN differences. They are distinct and complementary.
Why: Active share measures the percentage of a portfolio holdings that differ from the benchmark holdings; tracking error measures the volatility of the difference between portfolio and benchmark RETURNS. Together they describe how genuinely active a portfolio is. A fund with low active share and low tracking error holds substantially the same securities in substantially the same weights as its benchmark and therefore delivers substantially benchmark-like returns. That is closet indexing. It is a serious problem for a fee-paying investor because an active fee is being levied on a largely passive portfolio: the fund is nearly certain to underperform its benchmark by roughly the amount of the excess fee over time, since it has taken too little active risk to overcome its own cost. The trustee reasonable options are to negotiate the fee, replace the fund with an index alternative, or replace it with a genuinely active manager.