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Quantitative Finance · Glossary

What is s-score?

Definition 3.2 Strategies I: Equities and Futures · Chapter 3 — Residual and Principal-Component Stat Arb

The s-score of a stock is the distance of its cumulative residual from the level it reverts to, in units of its equilibrium standard deviation, s=(X−m)/σeqs = (X - m)/\sigma_{\mathrm{eq}}, from an AR(1) fit of the cumulative residual over a trailing window. Because the regression’s residuals sum to zero, the last point is X60=0X_{60} = 0 and s=−m/σeqs = -m/\sigma_{\mathrm{eq}}; Avellaneda and Lee centred mm across stocks.

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