Dynamic Portfolio Optimization with Looping Contagion Risk
Abstract
In this paper we consider a utility maximization problem with defaultable stocks and looping contagion risk. We assume that the default intensity of one company depends on the stock prices of itself and other companies, and the default of the company induces immediate drops in the stock prices of the surviving companies. We prove that the value function is the unique viscosity solution of the HJB equation. We also perform some numerical tests to compare and analyse the statistical distributions of the terminal wealth of log utility and power utility based on two strategies, one using the full information of intensity process and the other a proxy constant intensity process.
Cite
@article{arxiv.1710.05168,
title = {Dynamic Portfolio Optimization with Looping Contagion Risk},
author = {Longjie Jia and Martijn Pistorius and Harry Zheng},
journal= {arXiv preprint arXiv:1710.05168},
year = {2018}
}
Comments
26 pages, 6 figures. This paper has been presented on 10th Bachelier Conference in Dublin