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A comparison of MAD and CVaR models with real features

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  • Angelelli, Enrico
  • Mansini, Renata
  • Speranza, M. Grazia

Abstract

In this paper we consider two different mixed integer linear programming models for solving the single period portfolio selection problem when integer stock units, transaction costs and a cardinality constraint are taken into account. The first model has been formulated by using the maximization of the worst conditional expectation as objective function. The second model is based on the maximization of the safety measure corresponding to the mean absolute deviation. Extensive computational results are provided to compare the financial characteristics of the optimal portfolios selected by the two models on real data from European stock exchange markets. Some simple heuristics are also introduced that provide efficient and effective solutions when an optimal integer solution cannot be found in a reasonable amount of time.

Suggested Citation

  • Angelelli, Enrico & Mansini, Renata & Speranza, M. Grazia, 2008. "A comparison of MAD and CVaR models with real features," Journal of Banking & Finance, Elsevier, vol. 32(7), pages 1188-1197, July.
    • Handle: RePEc:eee:jbfina:v:32:y:2008:i:7:p:1188-1197
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    7. Francesco Cesarone & Andrea Scozzari & Fabio Tardella, 2011. "Portfolio selection problems in practice: a comparison between linear and quadratic optimization models," Papers 1105.3594, arXiv.org.
    8. Francesco Cesarone & Andrea Scozzari & Fabio Tardella, 2015. "Linear vs. quadratic portfolio selection models with hard real-world constraints," Computational Management Science, Springer, vol. 12(3), pages 345-370, July.
    9. Mansini, Renata & Ogryczak, Wlodzimierz & Speranza, M. Grazia, 2014. "Twenty years of linear programming based portfolio optimization," European Journal of Operational Research, Elsevier, vol. 234(2), pages 518-535.
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    19. Constantin Anghelache & Madalina-Gabriela Anghel & Stefan Virgil Iacob, 2020. "The Market Risk Analysis By Quantification Method," Annals - Economy Series, Constantin Brancusi University, Faculty of Economics, vol. 5, pages 170-180, October.

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