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Portfolio selection in the Spanish stock market by interactive multiobjective programming

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Abstract

This study examines new versions of two interactive methods to address multiobjective problems, the aim of which is to enable the decision maker to reach a solution within the range of those considered efficient in a portfolio selection model, in which several objectives are pursued concerning risk and return and given that these are clearly conflicting objectives, the profile of the model proposed is multicriteria. Normally the range of efficient portfolios is fairly extensive thus making the selection of a single one an onerous task. In order to facilitate this process, interactive methods are used aimed at guiding the decision maker towards the optimal solution based on his preferences. Several adaptations were carried out on the original methods in order to facilitate the interactive process, improving the quality of the obtained portfolios, and these were applied to data obtained from the Madrid Stock Market, interaction taking place with two decision makers, one of whom was more aggressive than the other in their selections made.

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References

  • Abdelaziz FB, Aouni B, El Fayedh R (2007) Multi-objective stochastic programming for portfolio selection. Eur J Oper Res 177:1811–1823

    Article  Google Scholar 

  • Ammar EE (2008) On solutions of fuzzy random multiobjective quadratic programming with applications in portfolio problem. Inf Sci 178:468–484

    Article  Google Scholar 

  • Benayoun R, Montgolfier J, Tergny J, Laritchev O (1971) Linear programming with multiple objective functions: step method (STEM). Math Program 1:366–375

    Article  Google Scholar 

  • Caballero R, Luque M, Molina J, Ruiz F (2002) PROMOIN: an interactive system for multiobjective programming. Int J Inf Technol Decis Mak 1:635–656

    Article  Google Scholar 

  • Deb K, Greco S, Miettinen K, Zitzler E (eds) (2009) Hybrid and robust approaches to multiobjective optimization, Dagstuhl seminar proceedings 09041, Internationales Begegnungs- und Forschungszentrum (IBFI), Schloss Dagstuhl, Germany

  • Dominiak C (1997) An application of interactive multiple goal programming on the Warsaw stock exchange. In: Caballero R, Ruiz F, Steuer RE (eds) Lecture notes in economics and mathematical systems, vol 455. Springer, Berlin, pp 66–74

    Google Scholar 

  • Ehrgott M, Klamroth K, Schwehm C (2004) An MCDM approach to portfolio optimization. Eur J Oper Res 155(3):752–770

    Article  Google Scholar 

  • Kaliszewski I (2004) Out of the mist—towards decision-maker-friendly multiple criteria decision making support. Eur J Oper Res 158:293–307

    Article  Google Scholar 

  • Lee SM, Chesser DL (1980) Goal programming for portfolio selection. J Portf Manag 6:22–26

    Article  Google Scholar 

  • Lee SM, Lerro AJ (1973) Optimizing the portfolio selection for mutual funds. J Finance XXVIII:1087–1101

    Article  Google Scholar 

  • Li HL, Tsai JF (2008) A distributed computation algorithm for solving portfolio problems with integer variables. Eur J Oper Res 186:882–891

    Article  Google Scholar 

  • Lin CC, Liu YT (2008) Genetic algorithms for portfolio selection problems with minimum transaction lots. Eur J Oper Res 185:393–404

    Article  Google Scholar 

  • Luque M, Caballero R, Molina J, Ruiz F (2007) Equivalent information for multiobjective interactive procedures. Manag Sci 53(1):125–134

    Article  Google Scholar 

  • Luque M, Miettinen K, Eskelinen P, Ruiz F (2009) Incorporating preference information in interactive reference point methods for multiobjective optimization. OMEGA—Int J Manag Sci 37(2):450–462

    Article  Google Scholar 

  • Markowitz H (1952) Portfolio selection. J Finance 7(2):77–91

    Article  Google Scholar 

  • Miettinen K (1999) Nonlinear multiobjective optimization. Kluwer Academic, Norvell

    Google Scholar 

  • Ogryczak W (2000) Multiple criteria linear programming model for portfolio selection. Ann Oper Res 97:143–162

    Article  Google Scholar 

  • Ogryczak W, Wierzbicki A, Milewski M (2009) A multi-criteria approach to fair and efficient bandwidth allocation. OMEGA—Int J Manag Sci 36(3):451–463

    Article  Google Scholar 

  • Polyashuk MV (2005) A formulation of portfolio selection problem with multiple criteria. J Multi-Criteria Decis Anal 13(2–3):135–145

    Article  Google Scholar 

  • Powell JG, Premachandra IM (1998) Accommodating diverse institutional investment objectives and constraints using non-linear goal programming. Eur J Oper Res 105:447–456

    Article  Google Scholar 

  • Rodríguez R (2004) Selection and revision of portfolios by a multicriteria approach: an application to the Spanish stock market. PhD thesis, Publications Service of University of Málaga, Spain (in Spanish)

  • Ruiz F, Luque M, Miguel F, Muñoz MM (2008) An additive achievement scalarizing function for multiobjective programming problems. Eur J Oper Res 188(3):683–694

    Article  Google Scholar 

  • Shing C, Nagasawa H (1999) Interactive decision system in stochastic multiobjective portfolio selection. Int J Prod Econ 60–61:187–193

    Article  Google Scholar 

  • Spronk J (1981) Interactive multiple goal programming. Applications to financial planing. International series in management science/operations research, Massachusetts

  • Steuer RE (1986) Multiple criteria optimization: theory, computation and application. Wiley series in probability and mathematical statistics-applied. Wiley, New York

    Google Scholar 

  • Steuer RE, Qi Y, Hirschberger M (2005) Multiple objectives in portfolio selection. J Financ Decis Mak 1(1):11–26

    Google Scholar 

  • Stewart TJ (1992) A critical survey on the status of multiple criteria decision making theory and practice. OMEGA—Int J Manag Sci 20(5/6):569–586

    Article  Google Scholar 

  • Tamiz M, Hasham R, Jones DF, Hesni B, Fargher EK (1996) A two-staged goal programming model for portfolio selection. In: Tamiz M (ed) Multi-objective programming and goal programming, theories and applications. Springer, Berlin, pp 286–299

    Google Scholar 

  • Tamiz M, Hasham R, Jones DF (1997) A comparison between goal programming and regression analysis for portfolio selection. In: Fandel G, Gal T (eds) Multiple criteria decision making. Springer, Berlin, pp 421–432

    Google Scholar 

  • Wierzbicki AP (1977) Basic properties of scalarizing functionals for multiobjective optimization. Math Oper Stat Optim 8:55–60

    Google Scholar 

  • Wierzbicki AP (1980) The use of reference objectives in multiobjective optimization. In: Fandel G, Gal T (eds) Multiple criteria decision making theory and application. Lecture notes in economics and mathematical systems, vol 177. Springer, Heidelberg, pp 468–486

    Google Scholar 

  • Xu J, Li L (2002) A class of stochastic optimization problems with one quadratic and several linear objective functions and extended portfolio selection model. J Comput Appl Math 146:99–113

    Article  Google Scholar 

  • Zopounidis C, Despotis DK, Kamarotou I (1998) Portfolio selection using the ADELAIS multiobjective linear programming system. Comput Econ 11:189–204

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Applied Economics (Mathematics), Faculty of Economics, University of Malaga, Ejido 6, 29071, Malaga, Spain

    Rafael Rodríguez, Mariano Luque & Mercedes González

Authors
  1. Rafael Rodríguez
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  2. Mariano Luque
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  3. Mercedes González
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Correspondence to Mariano Luque.

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Rodríguez, R., Luque, M. & González, M. Portfolio selection in the Spanish stock market by interactive multiobjective programming. TOP 19, 213–231 (2011). https://doi.org/10.1007/s11750-010-0139-7

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