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Multiobjective portfolio optimization with non-convex policy constraints: Evidence from the Eurostoxx 50

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  • Panos Xidonas
  • George Mavrotas

Abstract

Our purpose in this paper is to depart from the intrinsic pathology of the typical mean-variance formalism, due to both the restriction of its assumptions and difficulty of implementation. We manage to co-assess a set of sophisticated real-world non-convex investment policy limitations, such as cardinality constraints, buy-in thresholds, transaction costs, particular normative rules, etc., within the frame of complex scenarios, which demand for simultaneous optimization of multiple investment objectives. In such a case, the portfolio selection process reflects a mixed-integer multiobjective portfolio optimization problem. On this basis, we meticulously develop all the corresponding modeling procedures and then solve the underlying problem by use of a new, fast and very effective algorithm. The value of the suggested framework is integrated with the introduction of two novel concepts in the field of multiobjective portfolio optimization, i.e. the security impact plane and the barycentric portfolio . The first represents a measure of each security's impact in the efficient surface of Pareto optimal portfolios. The second serves as the vehicle for implementing a balanced strategy of iterative portfolio tuning. Moreover, a couple of some very informative graphs provide thorough visualization of all empirical testing results. The validity of the attempt is verified through an illustrative application on the Eurostoxx 50. The results obtained are characterized as very encouraging, since a sufficient number of efficient or Pareto optimal portfolios produced by the model, appear to possess superior out-of-sample returns with respect to the underlying benchmark.

Suggested Citation

  • Panos Xidonas & George Mavrotas, 2014. "Multiobjective portfolio optimization with non-convex policy constraints: Evidence from the Eurostoxx 50," The European Journal of Finance, Taylor & Francis Journals, vol. 20(11), pages 957-977, November.
    • Handle: RePEc:taf:eurjfi:v:20:y:2014:i:11:p:957-977
    DOI: 10.1080/1351847X.2012.733718
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    Citations

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    Cited by:

    1. Tsionas, Mike G., 2019. "Multi-objective optimization using statistical models," European Journal of Operational Research, Elsevier, vol. 276(1), pages 364-378.
    2. Ralph Steuer & Markus Hirschberger & Kalyanmoy Deb, 2016. "Extracting from the relaxed for large-scale semi-continuous variable nondominated frontiers," Journal of Global Optimization, Springer, vol. 64(1), pages 33-48, January.
    3. Panos Xidonas & Mike Tsionas & Constantin Zopounidis, 2020. "On mutual funds-of-ETFs asset allocation with rebalancing: sample covariance versus EWMA and GARCH," Annals of Operations Research, Springer, vol. 284(1), pages 469-482, January.
    4. Panos Xidonas & Ilias Lekkos & Charis Giannakidis & Christos Staikouras, 2023. "Multicriteria security evaluation: does it cost to be traditional?," Annals of Operations Research, Springer, vol. 323(1), pages 301-330, April.
    5. Xidonas, Panos & Hassapis, Christis & Soulis, John & Samitas, Aristeidis, 2017. "Robust minimum variance portfolio optimization modelling under scenario uncertainty," Economic Modelling, Elsevier, vol. 64(C), pages 60-71.
    6. Spyridon D. Mourtas & Vasilios N. Katsikis, 2022. "V-Shaped BAS: Applications on Large Portfolios Selection Problem," Computational Economics, Springer;Society for Computational Economics, vol. 60(4), pages 1353-1373, December.
    7. Νikolaos A. Kyriazis, 2021. "Investigating the nexus between European major and sectoral stock indices, gold and oil during the COVID-19 pandemic," SN Business & Economics, Springer, vol. 1(4), pages 1-12, April.
    8. Panos Xidonas & Christis Hassapis & George Mavrotas & Christos Staikouras & Constantin Zopounidis, 2018. "Multiobjective portfolio optimization: bridging mathematical theory with asset management practice," Annals of Operations Research, Springer, vol. 267(1), pages 585-606, August.
    9. Xidonas, Panos & Mavrotas, George & Hassapis, Christis & Zopounidis, Constantin, 2017. "Robust multiobjective portfolio optimization: A minimax regret approach," European Journal of Operational Research, Elsevier, vol. 262(1), pages 299-305.
    10. Víctor Adame-García & Fernando Fernández-Rodríguez & Simón Sosvilla-Rivero, 2017. "“Resolution of optimization problems and construction of efficient portfolios: An application to the Euro Stoxx 50 index"," IREA Working Papers 201702, University of Barcelona, Research Institute of Applied Economics, revised Feb 2017.

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