This paper uses wavelets to decompose each stock's trading-volume variance into frequency-specific components. We find that stocks dominated by short-run fluctuations in trading volume have abnormal returns that are 1% per month higher than otherwise similar stocks where short-run fluctuations...

We incorporate discrete tick size and allow non-high-frequency traders (non-HFTs) to supply liquidity in the framework of Budish, Cramton, and Shim (2015). When adverse selection risk is low or tick size is large, the bid-ask spread is typically below one tick, and HFTs dominate liquidity...

Security trading now fragments into more than 10 almost identical stock exchanges in the United States. We show that discrete pricing is one economic force that prevents the consolidation of trading volume. The uniform one-cent tick size (minimum price variation), imposed by the SEC's Rule 612,...

To prevent firms from manipulating prices, U.S. regulators set price ceilings for open-market share repurchases. We find that market structure reforms in the 1990s and 2000s dramatically increased share repurchases because they relaxed constraints that prevent firms from competing with other...

To prevent firms from manipulating prices, U.S. regulators set price ceilings for open-market share repurchases. We find that market-structure reforms in the 1990s and 2000s dramatically increased share repurchases because they relaxed constraints on issuers seeking to compete with other traders...

To solve the problem of poor performance of deep neural network models due to insufficient data, a simple yet effective interpolation-based data augmentation method is proposed: MSMix (Manifold Swap Mixup). This method feeds two different samples to the same deep neural network model, and then...