Evaluate · accuracy on decided cases

Survivorship bias and mutual fund performance: replay the closed funds

Survivorship bias makes mutual fund performance look better than investors' experience, because the funds that disappear are mostly the poor ones. The same bias flatters any fund rationalization model tested only on funds still open, so test Fund Rationalization, or any scorer, by replaying it on the funds you have already merged or closed.

Updated · 12 min read

Survivorship bias in mutual fund performance is the upward distortion that appears when returns are measured only on funds that still exist: funds that are merged away or liquidated tend to be the weaker performers, so leaving them out makes the average fund, and the persistence of good managers, look better than investors actually experienced. Academic estimates put the bias from a fraction of a basis point to about one percentage point a year, rising with the length of the sample. The same mechanism distorts the tools a product team uses to decide which funds to close: a peer group built from survivors, or a scoring model checked only against today's line-up, flatters itself. Botminds' Fund Rationalization scores every fund each quarter for merge, close or keep; the honest way to test it, or any such model, is to replay it on funds whose fate you already know and read where it disagrees with what happened.

Research findings below are linked to the studies; examples from the solution use fictional sample data.

How large survivorship bias is, and how many funds leave the data each year

0.07%

annual bias in average performance for one-year samples of US mutual funds

1%

annual bias for samples longer than 15 years, on the same data

102

applications to deregister a fund filed with the SEC in 2023, each after a merger or a liquidation

163

merger registration statements on Form N-14 filed in 2025

Bias: Carhart, Carpenter, Lynch and Musto, 'Mutual Fund Survivorship', Review of Financial Studies, 2002. Filings: our count of unique Form N-8F and N-14 filings in the SEC's EDGAR quarterly form indexes.Source: Carhart et al., RFS 2002; SEC, Accessing EDGAR data

What is survivorship bias in mutual fund performance?

It is the gap between the performance of funds that survive a period and the performance of all funds that existed at its start. The cause is that closures are not random. Elton, Gruber and Blake put it plainly: "Mutual fund attrition can create problems for a researcher because funds that disappear tend to do so due to poor performance" (Review of Financial Studies, 1996). Their fix was to track every fund that existed at the end of 1976 and, "When a fund merges", to calculate the return "taking into account the merger terms", so that a holder's experience is followed into the surviving fund rather than dropped.

The size of the bias depends on how long the sample is. Carhart, Carpenter, Lynch and Musto showed that "when survival depends on multiperiod performance, the survivorship bias in average performance typically increases with the sample length", and on US data found "the annual bias increases from 0.07% for 1-year samples to 1% for samples longer than 15 years" (Review of Financial Studies, 2002). They also found that "survivor conditioning weakens evidence of performance persistence": some of the apparent ability of past winners to keep winning comes from the losers having been removed.

The longer the sample, the larger the bias: survivors overstate returns by up to 1% a year

One-year samples
0.07% a year
Samples longer than 15 years
1% a year
Carhart, Carpenter, Lynch and Musto (2002), using the mutual fund data of Carhart (1997): annual survivorship bias in average performance by sample length. The study explains the growth by a multiyear survival rule for US funds.Source: Carhart et al., RFS 2002

Why survivorship bias flatters a fund rationalization model

A rationalization model is a claim about which funds will not recover. Testing it on the line-up you have today checks it only against funds that, so far, have not closed. Every fund the firm already merged or liquidated is missing from that test, and those are precisely the cases where the model's judgement was supposed to matter. A model that proposes closing the funds that later closed, and keeping the ones that survived, has learned nothing if the test set excludes the funds that closed.

Peer groups built from survivors: the same bias inside the model's inputs

Peer groups carry the same flaw into the model's inputs. If the performance factor compares a fund's three-year return with a category built from funds alive today, every peer that closed after a bad three years has been removed, the category average is too high, and a mediocre fund looks worse than it was against the funds investors could actually have held. Incubation adds a second bias at the other end of a fund's life: Evans found that incubated funds' early outperformance disappears once they open to the public, an upward bias that filtering on fund size leaves in place but filtering on fund age or ticker creation date removes (Journal of Finance, 2010). Young and dead funds are both where the numbers lie; mutual fund incubation takes the young end.

How do you test a fund scoring model? Replay it on the funds you closed

Run the model as of each past review date, on the data that was available that day, and compare its proposals with two things: what the committee decided, and what happened to the fund afterwards. The firm's own merged and closed funds are a labelled set it already owns, with the decision, the reasons and the outcome on file. A five-year history of quarterly reviews gives twenty decision dates and every fund that passed through them.

Replaying Fund Rationalization, or any rationalization model, on decided cases

  1. A person decides

    Product analyst

    Builds the set: every fund reviewed at each past date, with the committee's decision and what happened after.

  2. Agent

    Fund Scorer, as of the date

    Scores each fund using only the data available on that date: no later flows, no later performance.

    Never: Reads anything dated after the review it is replaying

  3. Agent

    Devil's Advocate, as of the date

    Builds the case to keep each proposed fund from the sources that existed then, or concedes.

  4. A person decides

    Head of product strategy

    Reads every disagreement between the replay and the decision, and every case where the outcome later proved either wrong.

  5. A person decides

    Committee chair

    Approves any change to weights or thresholds the replay suggests, through the normal proposal and two approvals.

Our method for testing any fund rationalization model on decided cases. In Fund Rationalization each decision's file keeps the agents' versions, models, instructions and thresholds at run time, which is what a faithful replay needs.

Why a replay must stop at the review date

The hard rule is the date. A replay that lets the model see later data is not a test; it is hindsight. Flows and performance are easy to cut off at the review date. Documents are harder: a distributor's letter dated after the review, or a model-portfolio committee's minutes, must be excluded even if they sit in the same folder. The SEC's recordkeeping rules help here, because the evidence the board saw is meant to be kept: written materials considered under section 15(c) for six years (Rule 31a-2(a)(6)), and the merger's records, including "the bases" of the board's determinations, for six years after a merger under Rule 17a-8 (Rule 17a-8(a)(2)(iv) and (a)(5)).

Reading the disagreements, one by one

An agreement rate is the least useful output of a replay. Two models can agree with the committee 85% of the time and be wrong about entirely different funds. Read each disagreement and sort it by what it says about the model, the committee or the evidence.

Four kinds of disagreement in a replay, and what each one tells you

The replay proposedThe committee decidedWhat happened nextWhat to check
Merge or closeKeep with a planThe fund recovered and reached its lineWhich factor overweighted the past: usually flows or one-year performance. The devil's advocate's case should have held here.
Merge or closeKeep with a planThe fund missed its milestone and closed laterThe cost of waiting: subsidy paid, holders' expense ratio, a later and larger taxable exit.
Keep with a planMerge or closeThe fund was merged or closedEvidence the committee had that the model did not: a distributor leaving, a manager change, a letter in another language.
Merge into partner AMerge into partner BHolders' fees and returns after the mergerThe partner ranking: overlap by weight against fee, vehicle and the holders of the acquiring fund.
Our reading guide for a replay on decided cases. The acquiring fund's holders matter in the last row: the research finds they are the ones who tend to lose after a merger.

The last row is easy to skip and should not be. Jayaraman, Khorana and Nelling found that after fund mergers targets' shareholders saw better performance and lower expense ratios while acquirers' shareholders saw a "significant deterioration in postmerger performance" (Journal of Finance, 2002). A replay that judges the model only by what happened to the closed fund's holders ignores half the people the board had to protect. Zhao's finding that defunct funds have "smaller size and lower inflows" (Journal of Business, 2005) also predicts what most agreements will look like: the smallest, shrinking funds are easy, and the model earns its place on the middle cases.

How to build the gold set from your own files

Building a replay set from funds you have already decided

  1. Every review date, not only the funds that left

    Include funds kept, so the replay can be wrong in both directions.

  2. The data as it stood that day

    Net assets, flows and performance as of the review date; ranks from that date's category file, including funds since closed.

  3. The committee's decision and its reason

    From the committee minutes and the board memo; a merger's board determinations and their bases are in the minute books.

  4. What happened after

    For kept funds, whether they reached their line; for merged funds, the survivor's fees and returns for both sets of holders; for closed funds, the payout and costs.

  5. Merger terms for chaining returns

    The exchange ratio, so a holder's return can be followed into the surviving fund rather than ending at the merger.

  6. Documents dated, and cut off

    Distributor letters, platform notices and minutes, each with its date, so nothing later leaks into the replay.

  7. The model's settings at the time, if it existed

    Weights, thresholds and lines as they were, so the replay tests the model you ran, not today's.

Our checklist. Merged and closed funds deregister on Form N-8F, which records whether distributions were made at net asset value and, for mergers, 'the exchange ratio(s) used and ... how it was calculated' (item 16).

How Fund Rationalization keeps what a replay needs

A replay is only as good as the record of what the model did at the time. In Fund Rationalization each decision's evidence file holds the agents' case, the devil's advocate's counter-case, the per-share impact with its assumptions, the vote test, the memo and signatures, and the agents' versions, models, instructions and thresholds at run time, with every source hashed. That is the material a later replay, an internal audit or an examination asks for.

One decision's evidence file: case, counter-case and the agents as they ran

Audit trail with the evidence file for one decision on Quillfield Clean Energy Innovators ETF: decision.json (Merge, Robert Ashdown, subscale, no credible path to breakeven); case.pdf (six findings, 36 sources, confidence per finding); counter-case.pdf (devil's advocate case and the Fund Scorer's answer); impact.xlsx (merge, close and keep per share, with assumptions and their changes); rule-17a-8.pdf (four-condition test and vote math); memo-v1.pdf; signatures.json; sources/ (36 source files with SHA-256 hashes); agents.json (agent versions, models, instructions and thresholds at run time); audit.csv. Format ZIP with PDF/A, CSV, JSON and a SHA-256 manifest; retention six years, first two online.
Fund Rationalization on the fictional sample. The agents' versions and thresholds at run time are kept with the decision, so the same case can be re-run and compared later.

The same discipline applies inside a live quarter. An analyst checks the agents' readings within two business days of the run; a reading below its confidence threshold waits for a person; and a weight change applies only from the next run, after the head of product strategy and the chair approve it. When a replay suggests a change, it goes through that path like any other, so next year's replay can tell which model made which call. How the counter-case is built is in the portfolio rationalization model.

The live case shows its score, its sources and a way to replay the run

The agents' case to merge Quillfield Clean Energy Innovators ETF into Sustainable Equity ETF, six findings from 36 sources read overnight, with a score of 82 and a Replay the run button. The Fund Scorer's message at 0.94 confidence gives $18.4M against a $33M line after −$6.1M of net flows in 12 months, fee revenue of $137K against $214K to run, a $77K a year shortfall, and a partner with 71% overlap. Messages from the Partner Finder and Rule Checker follow, each with confidence and cited sources, beside a facts panel.
Fund Rationalization on the fictional sample: each finding carries its confidence and sources, and the run that produced the case can be replayed.

To replay the agents on your own past reviews, start from Fund Rationalization with a sample of decided funds and the files behind them.

Questions people ask

How big is survivorship bias in mutual fund returns?

It depends on the sample's length. Carhart, Carpenter, Lynch and Musto (2002) found annual bias of 0.07% in one-year samples of US funds rising to 1% in samples longer than 15 years, because funds are typically closed after several years of weak results.

What is a survivorship-bias-free mutual fund database?

A database that keeps the full history of funds that merged or liquidated, so a study can include every fund that existed at the start of its period. Academic work on fund performance, including the 2002 study above, relies on such data; the key detail is following a merged fund's holders into the survivor using the merger terms.

How do you prevent survivorship bias in a fund analysis?

Start from every fund that existed at the start of the period, keep the ones that later closed, and follow merged funds' returns into the surviving fund. For a fund rationalization model, replay it on past review dates using only the data available then, including funds that have since closed.

Does survivorship bias affect performance persistence?

Yes. Carhart and co-authors found that "survivor conditioning weakens evidence of performance persistence": removing funds that died after bad runs makes past winners look more consistent than they were.

What is the average survival rate of an ETF?

No regulator publishes a current survival rate for ETFs. A sponsor can measure its own: launches from its new-series filings against deregistrations on Form N-8F, of which our count of the SEC's EDGAR indexes shows 102 in 2023, 99 in 2024 and 78 in 2025 across all registered funds.

How many past decisions do you need to test a rationalization model?

Enough to include disagreements of each kind; five years of quarterly reviews gives twenty decision dates. Every merged, closed and kept fund at each date counts, because a test on survivors alone repeats the bias it is meant to catch.

Fund Rationalization.
See it on your own files.

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