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Asset allocation and portfolio optimization problems with metaheuristics: a literature survey

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  • Jarraya, Bilel

Abstract

The main objective of Markowitz work is seeking optimal allocation of wealth on a defined number of assets while minimizing risk and maximizing returns of expected portfolio. At the beginning, proposed models in this issue are resolved basing on quadratic programming. Unfortunately, the real state of financial markets makes these problems too complex. Metaheuristics are stochastic methods which aim to solve a large panel of NPhard problems without intervention of users. These methods are inspired from analogies with other fields such as physics, genetics, or ethologic. Already various Metaheuristics approaches have been proposed to solve asset allocation and portfolio optimization problems. In a first time, we survey some approaches on the topic, by categorizing them, describing results and involved techniques. Second part of this paper aims providing a good guide to the application of Metaheuristics to portfolio optimization and asset allocation problems.

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  • Jarraya, Bilel, 2013. "Asset allocation and portfolio optimization problems with metaheuristics: a literature survey," MPRA Paper 53698, University Library of Munich, Germany, revised 2013.
    • Handle: RePEc:pra:mprapa:53698
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    References listed on IDEAS

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    1. Crama, Y. & Schyns, M., 2003. "Simulated annealing for complex portfolio selection problems," European Journal of Operational Research, Elsevier, vol. 150(3), pages 546-571, November.
    2. Ardia, David & Boudt, Kris & Carl, Peter & Mullen, Katharine M. & Peterson, Brian, 2010. "Differential Evolution (DEoptim) for Non-Convex Portfolio Optimization," MPRA Paper 22135, University Library of Munich, Germany.
    3. Thiemo Krink & Sandra Paterlini, 2011. "Multiobjective optimization using differential evolution for real-world portfolio optimization," Computational Management Science, Springer, vol. 8(1), pages 157-179, April.
    4. Alois Geyer & Michael Hanke & Alex Weissensteiner, 2009. "A stochastic programming approach for multi-period portfolio optimization," Computational Management Science, Springer, vol. 6(2), pages 187-208, May.
    5. Friesz, Terry L. & Anandalingam, G. & Mehta, Nihal J. & Nam, Keesung & Shah, Samir J. & Tobin, Roger L., 1993. "The multiobjective equilibrium network design problem revisited: A simulated annealing approach," European Journal of Operational Research, Elsevier, vol. 65(1), pages 44-57, February.
    6. Man-Chung CHAN & Chi-Cheong WONG & Bernard K-S Cheung & Gordon Y-N Tang, 2002. "Genetic Algorithms in Multi-Stage Portfolio Optimization System," Computing in Economics and Finance 2002 165, Society for Computational Economics.
    7. Bilel JARRAYA, 2013. "Asset Allocation And Portfolio Optimization Problems With Metaheuristics: A Literature Survey," Business Excellence and Management, Faculty of Management, Academy of Economic Studies, Bucharest, Romania, vol. 3(4), pages 38-56, December.
    8. Yu, Tzu-Yi & Tsai, Chenghsien & Huang, Hsiao-Tzu, 2010. "Applying simulation optimization to the asset allocation of a property-casualty insurer," European Journal of Operational Research, Elsevier, vol. 207(1), pages 499-507, November.
    9. Branke, J. & Scheckenbach, B. & Stein, M. & Deb, K. & Schmeck, H., 2009. "Portfolio optimization with an envelope-based multi-objective evolutionary algorithm," European Journal of Operational Research, Elsevier, vol. 199(3), pages 684-693, December.
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    1. Bilel JARRAYA, 2013. "Asset Allocation And Portfolio Optimization Problems With Metaheuristics: A Literature Survey," Business Excellence and Management, Faculty of Management, Academy of Economic Studies, Bucharest, Romania, vol. 3(4), pages 38-56, December.

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    More about this item

    Keywords

    Portfolio; Asset allocation; Metaheuristics; Mono-objective problems; Multi-objective problems.;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation

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