How to read historical data (optional)
Chapters
Chapters

When a backtest has learned the past too well

Read the search that selected the rules as part of the result, then separate genuine later evidence from another round of selection.

The later winner was unavailable to the earlier decision.

Fictional comparison. Same development interval and later interval for all candidates. Income reinvested; after each candidate's expenses, before investor tax. No external cash flows. Cumulative interval returns, not annual rates.
DevelopmentLater evidence

Choose A at the boundary using development results only.

A · +20%Selected →−10%Combined +8%
B · +15%+5%Combined +20.75%
C · +10%+8%Combined +18.8%

← Choosing B after seeing both periods brings later evidence back into selection.

A carries its own later −10%, not C’s +8%. These assign no real strategy probabilities; one ranking reversal does not prove overfitting.

Compound both intervals for each candidate

A: 1.20 × 0.90 − 1 = 8%; B: 1.15 × 1.05 − 1 = 20.75%; C: 1.10 × 1.08 − 1 = 18.8%. A sound process can disappoint; an overfit one can succeed by chance.

A reserved file can still become design input.

Out-of-sample evidence depends on use, not its label. Looking, revising rules and testing again uses the reserved period for selection. Familiar historical events can influence design before any formal test.

Evidence after publicly fixed rules needs mandate changes, costs, time and conditions stated. Launch does not guarantee independence or representativeness. Other markets can share shocks, methods and research choices.

Account for rejected versions and practical assumptions.

The strongest result needs its search history across universes, dates and assumptions, including explanations invented afterward. Multiple testing complicates interpretation without proving every strategy useless.

Check historical members, release dates, income, financing, taxes and expenses. A statistical pattern can be difficult to own; costs alone need not explain later disappointment. Keep simulated/live boundaries explicit.

False and missed discoveries are different errors

Harvey/Liu distinguish false discoveries from real effects a test misses. The search changes how to interpret its strongest result; neither uncertainty nor an appealing retrospective explanation identifies the true effect. The multiple-test illustration shows that distinction without assigning a real strategy’s probability.

A better test does not supply a recovery date.

No universal return, score or number of years settles every proposal. State purpose, search, later evidence and implementation.

Compare defined exposure, losses, expenses and attention; record what remains assumed. Better evidence can identify experiences to prepare for, not promise future drawdowns, recovery or spending outcomes.

Check your understanding

Try each question, then check your answer.

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01

Revising a tested rule

A strategy is developed on an early period, then repeatedly changed after viewing the supposedly out-of-sample period. What happened to that later period?

  • It remained independent if none of its dates were added to the original development file.
  • It became part of selection, weakening its value as an independent check.
  • Its original independent status is restored once the analyst stops changing the rules.
Show the explanation

Correct answer: It became part of selection, weakening its value as an independent check.

Independence depends on how data were used, not the label. Once later results guide repeated revisions, they influence the chosen rules. A separate test or genuinely later evidence would address a different question; tuning a simulation does not turn it into a live record.

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02

A corrected simulation

A backtest uses point-in-time data and plausible costs. What is a reasonable interpretation?

  • The worst loss in that corrected sample can now serve as the strategy’s maximum future drawdown.
  • Those controls remove the need to inspect how many versions were tried or what guided their selection.
  • It is a more credible historical test, while selection effects and future conditions still need scrutiny.
Show the explanation

Correct answer: It is a more credible historical test, while selection effects and future conditions still need scrutiny.

Removing important weaknesses improves the evidence without making it complete. The rule's search history, economic purpose, remaining modelling assumptions and unobserved future conditions still matter. Suitability also depends on the goal and the losses and work the investor can bear.

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