Search enough trading rules and one will look brilliant โ on data with no edge at all. Pull the lever: it tries hundreds of moving-average strategies, keeps the best-looking one, then checks it out-of-sample. Watch the "alpha" evaporate.
data:
๐ฒ Pure random walk๐ Market-like
strategies tried: 200
Best in-sample Sharpe
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Out-of-sample Sharpe
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Deflated Sharpe
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in-sample (where we cherry-picked)out-of-sample (the honest test)
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Every strategy we tried (in-sample Sharpe) โ we keep only the red one
Deflated Sharpe vs # strategies โ more searching โ harder to be real
Educational โ and the opposite of advice. The point is that a strategy chosen by searching its own backtest tells you almost nothing about the future. The Deflated Sharpe Ratio (Bailey & Lรณpez de Prado) prices in how many strategies you tried; below ~0.95 it's indistinguishable from luck. On a pure random walk, no edge can exist โ yet the casino still hands you a Sharpe above 1.