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Differential Evolution for Multiobjective Portfolio Optimization

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  • Thiemo Krink

    ()

  • Sandra Paterlini

    ()

Abstract

Financial portfolio optimization is a challenging problem. First, the problem is multiobjective (i.e.: minimize risk and maximize profit) and the objective functions are often multimodal and non smooth (e.g.: value at risk). Second, managers have often to face real-world constraints, which are typically non-linear. Hence, conventional optimization techniques, such as quadratic programming, cannot be used. Stochastic search heuristic can be an attractive alternative. In this paper, we propose a new multiobjective algorithm for portfolio optimization: DEMPO - Differential Evolution for Multiobjective Portfolio Optimization. The main advantage of this new algorithm is its generality, i.e., the ability to tackle a portfolio optimization task as it is, without simplifications. Our empirical results show the capability of our approach of obtaining highly accurate results in very reasonable runtime, in comparison with quadratic programming and another state-of-art search heuristic, the so-called NSGA II.

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Bibliographic Info

Paper provided by Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi" in its series Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) with number 08012.

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Length: pages 30
Date of creation: Jan 2008
Date of revision:
Handle: RePEc:mod:wcefin:08012

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Web page: http://www.economia.unimore.it
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Keywords: Portfolio optimization; multiobjective; real world constraints; value at risk; expected shortfall; differential evolution;

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References

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  1. Manfred Gilli & Evis Këllezi & Hilda Hysi, . "A Data-Driven Optimization Heuristic for Downside Risk Minimization," Swiss Finance Institute Research Paper Series 06-02, Swiss Finance Institute.
  2. Doganoglu, Toker & Hartz, Christoph & Mittnik, Stefan, 2006. "Portfolio optimization when risk factors are conditionally varying and heavy tailed," CFS Working Paper Series 2006/24, Center for Financial Studies (CFS).
  3. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
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Cited by:
  1. Lyra, M. & Paha, J. & Paterlini, S. & Winker, P., 2010. "Optimization heuristics for determining internal rating grading scales," Computational Statistics & Data Analysis, Elsevier, vol. 54(11), pages 2693-2706, November.
  2. Elmas Yaldiz Hanedar & Eleonora Broccardo & Flavio Bazzana, 2012. "Collateral Requirements of SMEs:The Evidence from Less–Developed Countries," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 12111, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  3. Gianfranco Gianfelice & Giuseppe Marotta & Costanza Torricelli, 2013. "A liquidity risk index as a regulatory tool for systemically important banks? An empirical assessment across two financial crises," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 13071, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  4. Chiara Pederzoli & Costanza Torricelli, 2010. "A parsimonious default prediction model for Italian SMEs," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 10061, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  5. Chiara Pederzoli & Costanza Torricelli, 2013. "Efficiency and unbiasedness of corn futures markets: New evidence across the financial crisis," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 13091, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  6. Stefano Cosma & Elisabetta Gualandri, 2013. "The sovereign debt crisis: the impact on the intermediation model of Italian banks," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 13102, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  7. 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.
  8. Stefano Cosma & Francesco Pattarin, 2012. "Attitudes, personality factors and household debt decisions: A study of consumer credit," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 12021, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  9. Lisa Mattioli & Riccardo Ferretti, 2013. "La regolamentazione dello short selling: effetti sul mercato azionario italiano (Short selling ban: effects on the Italian stock market)," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 13081, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  10. Elisabetta Gualandri & Valeria Venturelli, 2013. "The financing of Italian firms and the credit crunch: findings and exit strategies," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 13101, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  11. Marianna Lyra, 2010. "Heuristic Strategies in Finance – An Overview," Working Papers 045, COMISEF.

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