ROBUSTNESS IN MEAN-VARIANCE PORTFOLIO OPTIMIZATION
Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JMMF-2-2_012
تاریخ نمایه سازی: 19 بهمن 1401
Abstract:
In this paper, we discuss some of the concepts of robustness for uncertain multi-objective optimization problem. An important factor involved with multi-objective optimization problems is uncertainty. The uncertainty may arise from estimation of parameters in the model, error of computation, structure of problem and so on. Indeed, some parameters are often unknown at the beginning of solving a multi-objective optimization problem. One of the most important and popular approaches for dealing with uncertainty is robust optimization. Markowitz's portfolio optimization problem is strongly sensitive to the perturbations of input parameters. We consider Markowitz's portfolio optimization problem with ellipsoid uncertainty set, and apply set-based minmax and lower robust efficiency to this problem. The concepts of robust efficiency are used in the real stock market and compared to each other. Finally, the increase and decrease effects of uncertainty set parameters on these robust efficient solutions are verified.
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Authors
Shokouh Shahbeyk
Department of Statistics, Mathematics, and Computer Science, Allameh Tabataba’i University, Tehran, Iran