Price-Path Convexity and Short-Horizon Return Predictability

We document a strong, negative relation between the curvature of stock price paths (i.e., price-path convexity) and future short-horizon returns at both the aggregate and firm levels. This relation obtains regardless of the cumulative return during the convexity estimation period. At the aggregate level, convexity is a better predictor of future returns than many commonly used predictors. At the firm level, this effect is not explained by known return predictors, microstructure frictions, or ill