We study the problem of optimally liquidating a financial position in a discrete-time model with stochastic volatility and liquidity. We consider the three cases where the objective is to minimize the expectation, an expected exponential and a mean-variance criterion of the implementation cost....

In this paper we study a portfolio execution problem in a discrete-time model in which orders can be submitted to a standard exchange and a dark pool. We model volatilities and correlations as stochastic processes and assume that trading at the standard exchange causes price impact. Orders sent...

We consider a full equilibrium model in continuous time comprising a finite number of agents and tradable securities.We show that, if the agents' endowments are spanned by the securities and if the agents have entropic utilities, an equilibrium exists and the agents' optimal trading strategies...