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...

We examine liquidity across different types of markets by using execution costs as a proxy for liquidity. We conduct a thorough analysis of execution costs on the NYSE versus Electronic Markets. We adopt a variety of techniques attempting to correct for the selection bias problem. Unlike current...

We build a model under the framework of discrete optimization to explain how high frequency trading (HFT) can be applied to supply liquidity and reduce execution cost. We derive the analytical properties of our model in finding the optimal solution to minimize the overall execution cost of HFT....