Survivorship Bias · four ideas0 of 4 ideas marked read on this device

Free course · Module 9

Survivorship Bias in Investing

Look beyond the winners still in view. Count who started, find who is missing and judge a track record with the full group.

Written by the StockEducation Editorial Team · Reviewed by Associate Professor Charles Lo, CPA, PhD · Updated 15 Oct 2026 · How we check lessons

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Idea 1 of 4

Find the group that disappeared.

A sample can look stronger when unsuccessful members disappear. Survivorship bias occurs when you study the members still visible and treat them as the original whole group. A current fund list, a collection of winning stocks or interviews with successful investors may leave out important experiences.

Consider four hypothetical funds, each starting with $100. Their one-period total returns are +20%, +10%, −10% and −20%, including any closure proceeds. The two positive-return funds remain listed; the other two close after that period. A survivor-only average is +15%, but all four together average 0%.

Fund A+20%Still listed
Fund B+10%Still listed
Fund C−10%Closed afterward
Fund D−20%Closed afterward
Average of the two survivors+15%
Average of all four starters0%
Hypothetical one-period, equal-weighted total returns. Each fund starts with $100; final values of $120, $110, $90 and $80 total $400. Closures here are assumed for illustration, not a claim that every closed fund loses money.
What should you ask before trusting an average?

Who started? Define the original group, observation period and selection rule. Ask whether members later merged, closed, delisted or stopped reporting remain in the analysis.

Who is visible now? A selected sample is not automatically useless. The error is extending its result to the full starting group without examining what was excluded and why. Missing records can change the conclusion.

Remember this

Count the starting group before interpreting the surviving group.

Marks Idea 1 read on this device

Idea 2 of 4

Read the fund-survival statistic correctly.

Survival is a different measure from performance. SPIVA’s Mid-Year 2026 Report 2 lists 2,190 active US domestic equity funds at the start of its 20-year window ending June 30, 2026. Of those, 37.85% remained active. The rounded figures imply about 829 survivors and 1,361 funds no longer active. Source 1.

Starting group · 20-year window2,190 funds
About 829Still active
About 1,361No longer active
Survived the period37.85%
Did not remain active62.15%
SPIVA U.S. Mid-Year 2026, Report 2, All Domestic Funds. Counts are approximate, calculated from the published percentage. The 100-square illustration rounds survival to 38 squares. This is not a return or a probability of losing your investment.
How does SPIVA keep the missing funds in view?

Keep the original denominator For its underperformance percentage, SPIVA counts funds that failed to survive or survived but failed to beat the relevant benchmark, divided by the original opportunity set. Its peer-return construction is a separate calculation.

Closure is not a total loss A merger or liquidation does not automatically mean investors lost all their money. Distinguish fund survival, benchmark outperformance and investor returns. Different time windows also start with different fund cohorts. Source 1.

Remember this

Do not confuse “still active” with “a successful investment.”

Marks Idea 2 read on this device

Idea 3 of 4

Look at the selection process.

What you can inspect depends on what made it into the sample. Damage on returning aircraft shows what those aircraft survived. It does not directly show damage on aircraft that failed to return. The same question applies to funds still trading and companies still in an index: what conditions selected them?

Wald’s wartime work estimated aircraft vulnerability from survivor damage using a statistical model. It illustrates the need to account for selection and assumptions, rather than treating visible observations as a complete record. Source 2.

Observed sampleReturnedDamage you can inspect
Missing observationsDid not returnDamage absent from this sample
Visible damage is only part of the evidence.

Ask how survival affected which observations you received.

Conceptual teaching illustration. Aircraft outlines and damage dots are not Wald’s historical data or a reconstruction of his study. No specific armor placement follows from these invented marks.
What is documented, and what belongs to the popular story?

The report is real CNA reprinted Wald’s aircraft-vulnerability work in 1980. It develops survivor-based methods, and its concluding discussion explicitly mentions locating protective armor. The original page’s claim that it never discussed armor was incorrect.

Avoid a reconstructed conversation That does not establish the familiar dramatized exchange with officers. Use the documented statistical reasoning; do not present an unsourced speech or modern bullet-hole image as primary evidence. Source 2.

How does the same trap enter a stock backtest?

Use historical membership A test of 2006 performance using only today’s index members knows which companies remained eligible and visible later. Include the membership and delisted securities available on each historical date.

Separate other hindsight errors Also check whether financial statements and signals were available at the time. Correcting survivorship bias does not cure every form of look-ahead bias or make a hypothetical backtest a realized investment record.

Remember this

Ask how an observation earned its place in your sample.

Marks Idea 3 read on this device

Idea 4 of 4

Test the claim and record the missing data.

A small difference in a reported annual rate can accumulate. Use the hypothetical model below to compare 8% with 7% over 20 years on $10,000. The one-point difference is an assumption for this exercise, not a universal correction for survivorship bias.

Compare two annual-rate assumptions

Hypothetical · no trade
Scenario A · ending value$46,610
Scenario B · ending value$38,697

Scenario A minus B: $7,913

Annual compounding, no contributions, withdrawals, fees or taxes. These rates are assumptions, not forecasts.

  1. Reproduce the default comparison. Change the years to 10, then 30, keeping everything else fixed.
  2. Set both rates equal. Explain why the gap disappears without proving either rate is realistic.
  3. Choose a performance claim and record its starting group, missing members, dates, weighting and closure treatment.
Open the Compound Interest Calculator →

Formula: starting amount × (1 + annual rate)years. Displayed dollars are rounded from unrounded calculations. Local practice and reading ticks do not record LMS completion.

Is one percentage point a universal bias adjustment?

Historical research Carhart and colleagues’ 2002 study found annual survivorship bias increasing from 0.07% for one-year samples to about 1% for samples longer than 15 years in their data. Source 3.

Use the actual dataset That estimate does not justify subtracting 1% from every fund return. Identify the sample, missing records, calculation and period. Ask how the provider includes closures and merger proceeds before judging its results.

Remember this

Correct the dataset and method, not the answer with a guessed discount.

Marks Idea 4 read on this device

Quick check

Three quick checks. Feedback straight away.

Question 1 of 3

A database drops closed funds, which tended to have weaker returns, and reports a survivor-only average. Relative to the same-period average including those funds, the result is most likely:

Why keep a closed fund in the original opportunity set?

It was available at the start Removing a fund later changes the question from “what happened to the original group?” to “what happened to the survivors?” That can flatter the performance claim.

Keep the measures separate SPIVA’s underperformance count treats non-survival as failure to outperform over the full period. That convention is not a statement that every closed fund had a negative return or lost all its capital.

You finished Survivorship Bias in Investing.

You can identify the starting group, distinguish survival from returns and ask how missing observations affect a claim. Keep learning in the next lesson.

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Review your takeaway card and the learning path
  • Start with the full group. Survivors alone can tell a different story.
  • Keep measures distinct. Fund survival is not investment return or benchmark success.
  • Check the selection process. Missing observations and hindsight can distort a claim.
  • Use the real method. A guessed return adjustment does not repair missing data.
See the learning path →

Reading markers and these practice checks stay on this device. They do not mark the LMS lesson complete.

Sources and assumptions

  1. S&P Dow Jones Indices, SPIVA U.S. Mid-Year 2026. Report 2, 20-year All Domestic Funds survival; Appendix B definitions of survivorship, underperformance and peer-return construction.
  2. Abraham Wald, A Method of Estimating Plane Vulnerability Based on Damage of Survivors, CNA reprint, 1980. Statistical work on aircraft survivors; Concluding example discusses protective armor. Illustrations on this page are conceptual, not historical damage records.
  3. Carhart, Carpenter, Lynch and Musto, Mutual Fund Survivorship, Review of Financial Studies, 2002. Abstract reports sample-length-dependent historical estimates; not a universal return adjustment.

Sources checked 15 October 2026. SPIVA figures end June 30, 2026. Four-fund returns, aircraft diagrams and compounding rates are teaching illustrations. Compounding assumes annual reinvestment and no contributions, withdrawals, tax or fees. Native LMS completion remains separate from local practice.

StockEducation provides general education, not personal financial, tax or legal advice. Nothing here recommends a specific security. Investing involves risk, including loss of money you invest.

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