A model of infrequent rebalancing can explain specific predictability patterns in the time-series and cross-section of stock returns. First, infrequent rebalancing produces return autocorrelations that are consistent with empirical evidence from intraday returns and new evidence from daily...

We examine the relation between liquidity, volume, and volatility using a comprehensive sample of U.S. stocks in the post-decimalization period. For large stocks, effective spread and volume are positively related in the time series even after controlling for volatility, contrary to most...

We derive testable implications of Kyle and Obizhaeva's (2016) notion of "bet invariance'' for the cross-section of trade-time volatilities. We jointly develop theoretical foundations of "no speculative arbitrage'' whose implications incorporate those of bet invariance. Our proposed test...

We document the intradaily patterns of return volatility and trading activity in trade times of fixed dollar volumes --- shorter trade times reflect higher trading activity. Unlike the U-shaped intraday seasonality in calendar-time volatility, trade-time volatility plunges by 40-60% over the...

We develop measures of stock-specific trading activity based on durations of sequences of consecutive trades with fixed cumulative values. Trade sizes and signed-trade imbalances rise with activity, while price impacts generally fall, but not always, due to endogenous variation in liquidity...

The option implied volatility spread and skew predict stock returns. These variables also reflect the expected cost of borrowing stock to sell short. The stock borrowing fee implied from options prices predicts changes in quoted borrowing fees and stock returns; however, the volatility spread...

We study how the excess market return depends on the time of the day using E-mini S&P 500 futures that are actively traded for almost 24 hours. Strikingly, four hours around European open account for the entire average market return. This period's returns are consistently positive in every year,...