We present a framework for optimal execution in presence of stochastic volatility. The theoretical model utilizes the fair pricing theory of market impact and the Heston model for volatility. We use computer optimization to solve common trading problems, including optimal execution schedules on...

We investigate how the dynamics of supply and demand affect the relationship between aggregated order flow and returns/market impact. We classify order flow according to the different event types that comprise it: Limit orders, cancelations and market orders executed against displayed or hidden...

Starting from basic hypotheses on how footprints from hidden orders are interpreted by short-term traders, we derive a fair price model that predicts market impact for non-uniform participation rate schedules. We use this model to derive an optimal execution schedule for a risk-averse trader....

We examine information, market impact and trade sizes using a data-set of institutional trades where approximately 1/4 of the orders are labeled as having been created for cash flow purposes. We find that during the execution the functional form and scale of market impact are similar for cash...

We propose a static equilibrium model for limit order book where $N\geq 1$ profit-maximizing investors receive an information signal regarding the liquidation value of the asset and execute via a competitive dealer with random initial inventory. While the dealer's initial position plays a role...