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Portfolio selection problem: a review of deterministic and stochastic multiple objective programming models

Author

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  • Meryem Masmoudi

    (University of Bahrain)

  • Fouad Ben Abdelaziz

    (NEOMA Business School)

Abstract

The literature on portfolio selection mostly concentrates on computational analysis rather than on modelling efforts. In response, this paper provides a comprehensive literature review of multiple objective deterministic and stochastic programming models for the portfolio selection problem. First, we summarize different concepts related to portfolio selection theory, including pricing models and portfolio risk measures. Second, we report the mathematical models that are generally used to solve deterministic and stochastic multiple objective programming problems. Finally, we present how these models can be used to solve the portfolio selection problem.

Suggested Citation

  • Meryem Masmoudi & Fouad Ben Abdelaziz, 2018. "Portfolio selection problem: a review of deterministic and stochastic multiple objective programming models," Annals of Operations Research, Springer, vol. 267(1), pages 335-352, August.
    • Handle: RePEc:spr:annopr:v:267:y:2018:i:1:d:10.1007_s10479-017-2466-7
    DOI: 10.1007/s10479-017-2466-7
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    References listed on IDEAS

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    1. Athanasoulis, Stefano G & Shiller, Robert J, 2000. "The Significance of the Market Portfolio," The Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 301-329.
    2. A. Charnes & W. W. Cooper & R. O. Ferguson, 1955. "Optimal Estimation of Executive Compensation by Linear Programming," Management Science, INFORMS, vol. 1(2), pages 138-151, January.
    3. Rania Azmi & Mehrdad Tamiz, 2010. "A Review of Goal Programming for Portfolio Selection," Lecture Notes in Economics and Mathematical Systems, in: Dylan Jones & Mehrdad Tamiz & Jana Ries (ed.), New Developments in Multiple Objective and Goal Programming, pages 15-33, Springer.
    4. Panos Xidonas & George Mavrotas & Theodore Krintas & John Psarras & Constantin Zopounidis, 2012. "Multicriteria Portfolio Management," Springer Optimization and Its Applications, in: Multicriteria Portfolio Management, edition 127, chapter 0, pages 5-21, Springer.
    5. Abdelaziz, Fouad Ben & Aouni, Belaid & Fayedh, Rimeh El, 2007. "Multi-objective stochastic programming for portfolio selection," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1811-1823, March.
    6. Kostas Giannopoulos & Ephraim Clark & Radu Tunaru, 2005. "Portfolio selection under VaR constraints," Computational Management Science, Springer, vol. 2(2), pages 123-138, March.
    7. Huang, Xiaoxia, 2008. "Portfolio selection with a new definition of risk," European Journal of Operational Research, Elsevier, vol. 186(1), pages 351-357, April.
    8. Suvrajeet Sen & Julia L. Higle, 1999. "An Introductory Tutorial on Stochastic Linear Programming Models," Interfaces, INFORMS, vol. 29(2), pages 33-61, April.
    9. BEREANU, Bernard & PEETERS, Gustaaf, 1970. "A 'wait-and-see' problem in stochastic linear programming. An experimental computer code," LIDAM Reprints CORE 75, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Panos Xidonas & George Mavrotas & Theodore Krintas & John Psarras & Constantin Zopounidis, 2012. "Multicriteria Portfolio Management," Springer Optimization and Its Applications, Springer, edition 127, number 978-1-4614-3670-6, June.
    11. Aouni, Belaid & Ben Abdelaziz, Foued & Martel, Jean-Marc, 2005. "Decision-maker's preferences modeling in the stochastic goal programming," European Journal of Operational Research, Elsevier, vol. 162(3), pages 610-618, May.
    12. Ehrgott, Matthias & Klamroth, Kathrin & Schwehm, Christian, 2004. "An MCDM approach to portfolio optimization," European Journal of Operational Research, Elsevier, vol. 155(3), pages 752-770, June.
    13. Ben Abdelaziz, Fouad & Masri, Hatem, 2010. "A compromise solution for the multiobjective stochastic linear programming under partial uncertainty," European Journal of Operational Research, Elsevier, vol. 202(1), pages 55-59, April.
    14. Liu, Liping, 2004. "A new foundation for the mean-variance analysis," European Journal of Operational Research, Elsevier, vol. 158(1), pages 229-242, October.
    15. Aouni, Belaid & Colapinto, Cinzia & La Torre, Davide, 2014. "Financial portfolio management through the goal programming model: Current state-of-the-art," European Journal of Operational Research, Elsevier, vol. 234(2), pages 536-545.
    16. Jiuping Xu & Xiaoyang Zhou & Steven Li, 2011. "A Class of Chance Constrained Multi-objective Portfolio Selection Model Under Fuzzy Random Environment," Journal of Optimization Theory and Applications, Springer, vol. 150(3), pages 530-552, September.
    17. A. Charnes & W. W. Cooper, 1963. "Deterministic Equivalents for Optimizing and Satisficing under Chance Constraints," Operations Research, INFORMS, vol. 11(1), pages 18-39, February.
    18. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    19. Cohen, Morrel H. & Natoli, Vincent D., 2003. "Risk and utility in portfolio optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 81-88.
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    Cited by:

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    3. Qi, Yue & Liao, Kezhi & Liu, Tongyang & Zhang, Yu, 2022. "Originating multiple-objective portfolio selection by counter-COVID measures and analytically instigating robust optimization by mean-parameterized nondominated paths," Operations Research Perspectives, Elsevier, vol. 9(C).
    4. Wu, Xu & Zhang, Linlin & Li, Jia & Yan, Ruzhen, 2021. "Fractal statistical measure and portfolio model optimization under power-law distribution," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).
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    6. Hanxiao Wang & Huizi Ma, 2022. "Optimal Investment Portfolios for Internet Money Funds Based on LSTM and La-VaR: Evidence from China," Mathematics, MDPI, vol. 10(16), pages 1-18, August.
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