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Quantitative Finance · Glosarium

Apa itu Deflated Sharpe ratio?

Definition 12.16 Quantitative Methods · Bab 12 — Testing and Multiple Testing

For a Sharpe ratio SR^\widehat{\mathrm{SR}} (per period) estimated from nn returns with skewness γ3\gamma_3 and kurtosis γ4\gamma_4, the probability that the true ratio exceeds SR0\mathrm{SR}_0 is approximately

Φ((SR^−SR0)n−1/1−γ3SR^+γ4−14SR^2).\Phi\Bigl((\widehat{\mathrm{SR}} - \mathrm{SR}_0)\sqrt{n - 1}\Big/\sqrt{1 - \gamma_3\widehat{\mathrm{SR}} + \tfrac{\gamma_4 - 1}4\widehat{\mathrm{SR}}^2}\Bigr).

The deflated Sharpe ratio (Bailey and López de Prado, 2014) is this probability with SR0\mathrm{SR}_0 the expected maximum of NN null Sharpe ratios of variance VV: SR0=V((1−γE)Φ−1(1−1/N)+γEΦ−1(1−1/(Ne)))\mathrm{SR}_0 = \sqrt V\bigl((1 - \gamma_E)\Phi^{-1}(1 - 1/N) + \gamma_E\Phi^{-1}(1 - 1/(Ne))\bigr), γE\gamma_E the Euler–Mascheroni constant.

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