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Robust Optimization Approaches to Single Period Portfolio Allocation Problem

In: Robustness Analysis in Decision Aiding, Optimization, and Analytics

Author

Listed:
  • Nalân Gülpınar

    (The University of Warwick)

  • Zhezhi Hu

    (The University of Warwick)

Abstract

Portfolio management is one of the fundamental problems in financial decision making. In a typical portfolio management problem, an investor is concerned with an optimal allocation of the capital among a number of available financial assets to maximize the return on the investment while minimizing the risk. This problem was formulated in the mean-variance portfolio management framework proposed by Markowitz in 1952. Since then, it has been widely studied by researchers and the practitioners. However, the solution is sensitive to model parameters due to data uncertainty. In this chapter, we review robust approaches to deal with data uncertainty for a single-period portfolio allocation problem. We first introduce the main ideas of robust optimization using symmetric and asymmetric uncertainty sets where the uncertain asset returns belong to. We then focus on data driven and distributionally robust optimization approaches.

Suggested Citation

  • Nalân Gülpınar & Zhezhi Hu, 2016. "Robust Optimization Approaches to Single Period Portfolio Allocation Problem," International Series in Operations Research & Management Science, in: Michael Doumpos & Constantin Zopounidis & Evangelos Grigoroudis (ed.), Robustness Analysis in Decision Aiding, Optimization, and Analytics, chapter 0, pages 265-283, Springer.
    • Handle: RePEc:spr:isochp:978-3-319-33121-8_12
    DOI: 10.1007/978-3-319-33121-8_12
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    Cited by:

    1. Panos Xidonas & Ralph Steuer & Christis Hassapis, 2020. "Robust portfolio optimization: a categorized bibliographic review," Annals of Operations Research, Springer, vol. 292(1), pages 533-552, September.

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