We introduce a market impact model for stochastic linear transient impact, extending the model of Gatheral (2010) with the possibility of randomly fluctuating liquidity. We discuss regularity conditions for market impact models, i.e. properties of optimal liquidation strategies in these models....

We consider the linear-impact case in the continuous-time market impact model with transient price impact proposed by Gatheral (2008). In this model, the absence of price manipulation in the sense of Huberman and Stanzl (2004) can easily be characterized by means of Bochner's theorem. This...

We continue the analysis of optimal execution strategies in the model for a limit order book with nonlinear price impact and exponential resilience that was considered in Alfonsi, Schied, and Fruth (2009). We now allow for non-homogeneous resilience rates and arbitrary trading dates and consider...