Journal of Applied Mathematics and Decision Sciences
Volume 2009 (2009), Article ID 609196, 9 pages
Research Article

Discrete Analysis of Portfolio Selection with Optimal Stopping Time

Department of Risk Management and Insurance, Lingnan (University) College, Sun Yat-Sen University, Guangzhou 510275, China

Received 28 November 2008; Accepted 5 March 2009

Academic Editor: Lean Yu

Copyright © 2009 Jianfeng Liang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Most of the investments in practice are carried out without certain horizons. There are many factors to drive investment to a stop. In this paper, we consider a portfolio selection policy with market-related stopping time. Particularly, we assume that the investor exits the market once his wealth reaches a given investment target or falls below a bankruptcy threshold. Our objective is to minimize the expected time when the investment target is obtained, at the same time, we guarantee the probability that bankruptcy happens is no larger than a given level. We formulate the problem as a mix integer linear programming model and make analysis of the model by using a numerical example.