Optimal Trade Execution with Coherent Dynamic Risk Measures

35 Pages Posted: 23 Sep 2012  

Qihang Lin

Carnegie Mellon University - David A. Tepper School of Business

Javier F. Peña

affiliation not provided to SSRN

Date Written: August 10, 2012

Abstract

We study the problem of optimal trade execution in an illiquid market by minimizing the coherent dynamic risk of the implementation shortfall. The prices of the assets are modeled as a discrete-time Markov process perturbed by both temporal and permanent impacts related to the trading volume. A closed-form optimal strategy is obtained for liquidating a single asset. In the case of multiple assets, we show that the optimal execution problem is equivalent to a saddle-point problem, for which efficient first-order methods are utilized to compute the optimal strategy numerically.

Keywords: optimal trade execution, coherent dynamic risk measure, saddle-point problem

Suggested Citation

Lin, Qihang and Peña, Javier F., Optimal Trade Execution with Coherent Dynamic Risk Measures (August 10, 2012). Available at SSRN: https://ssrn.com/abstract=2150878 or http://dx.doi.org/10.2139/ssrn.2150878

Qihang Lin (Contact Author)

Carnegie Mellon University - David A. Tepper School of Business ( email )

5000 Forbes Avenue
Pittsburgh, PA 15213-3890
United States

Javier F. Peña

affiliation not provided to SSRN ( email )

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