This paper incorporates risk-based margin requirements into portfolio liquidation procedures in a novel fashion. The approach is analytic and, as a result, more efficient than conventional numerical liquidation methods. The margin requirement calculation is a self-contained inner optimization...

We consider financial networks where agents are linked to each other with financial contracts. A centralized clearing mechanism collects the initial endowments, the liabilities and the division rules of the agents and determines the payments to be made. A division rule specifies how the assets...

Proceeding to portfolio allocation in the framework of Markowitz, a numerical inconsistency may occur when the sample covariance matrix of assets returns has to be inverted. This is mainly caused by the magnitude of its lowest eigenvalues. In this paper, we tackle the Markowitz problem as an...

Portfolio implementation is an essential part of active investment strategies. The trading horizon-the length of time allocated for trade implementation, is an important consideration in portfolio trading. Previous research on optimal trading limits the trading horizon as a fixed value. In this...

The purpose of these notes is to provide a systematic quantitative framework - in what is intended to be a "pedagogical" fashion - for discussing mean-reversion and optimization. We start with pair trading and add complexity by following the sequence "mean-reversion via demeaning → regression...

In these notes we discuss investment allocation to multiple alpha streams traded on the same execution platform, including when trades are crossed internally resulting in turnover reduction. We discuss approaches to alpha weight optimization where one maximizes P&L subject to bounds on...