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Quantitative Finance · शब्दावली

Return smoothing, autocorrelation-adjusted Sharpe ratio क्या है?

अन्य नाम: return smoothing · autocorrelation-adjusted Sharpe ratio

Definition 22.2 Research Craft: Predictors, Backtests, Measurement, Portfolios · अध्याय 22 — Performance Measurement

Return smoothing is the reporting of a moving average of true returns, rto=∑j=0kθjrt−jr^o_t = \sum_{j=0}^{k}\theta_j r_{t-j} with θj≥0\theta_j \ge 0 and ∑jθj=1\sum_j\theta_j = 1, as happens when illiquid assets are marked at stale or appraised prices (Getmansky, Lo and Makarov). The autocorrelation-adjusted Sharpe ratio annualises a per-period Sharpe ratio SR1\mathrm{SR}_1 with the autocorrelations ρk\rho_k of the returns: SR(q)=SR1 q/q+2∑k=1q−1(q−k)ρk\mathrm{SR}(q) = \mathrm{SR}_1\, q\big/\sqrt{q + 2\sum_{k=1}^{q-1}(q-k)\rho_k} (Lo, 2002).

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