Roll Implicit Spread
In plain terms
Effective bid-ask spread inferred from how negatively a stock's daily returns auto-correlate. Spread widening predicts informed-trading pressure and forward underperformance.
How it works
Roll (1984, JF) derives the implicit bid-ask spread from neg-autocovariance of daily price changes: 2*sqrt(-Cov(Δp_t, Δp_t-1)). Captures information-asymmetry premium without TAQ data. Spread *delta* (own-history z) is more tradeable than level post-decimalization — widening predicts forward underperformance over 5-21 days (Brennan-Chordia-Subrahmanyam-Tong 2012).
Live results
9 times picked on its own · 117 times inside a blend (97 beat the stock) · updated 2026-06-06Data dependencies
- Daily prices
Adjusted-close OHLCV for every US-listed ticker; primary price feed.
Expected edge
- Reported return
- 3-5% ann. spread-delta short alpha
- Tested over
- 1963-2002 (Brennan-Chordia 2012 OOS)
Brennan-Chordia 2012: 3-5% ann. spread-widening short alpha post-decimalization.
Related families
Measures how much the price moves per dollar traded. Stocks costly to exit must pay investors more — long the illiquid names for the premium.
A more precise daily-bar bid-ask spread estimator than Roll's, using high-low ranges. We go long only, when a stock's estimated spread widens sharply versus its own one-year history while it is in an uptrend; thresholds vary. No short side.
Counterintuitive: high-idiosyncratic-vol stocks UNDERPERFORM. So short the high-IVOL names, long the steady ones.
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