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Fuzzy Multi-criteria Support for Sustainable and Social Responsible Investments: The Case of Investors with Loss Aversion

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The Mathematics of the Uncertain

Abstract

The aim of this paper is to construct a support decision-making system for portfolio selection combining financial and sustainable objectives. The model we propose allows us to obtain a socially responsible portfolio which tracks the portfolio that an investor could have chosen if she did not take into account social, ethical and ecological (SEE) considerations in her investment decisions. For this purpose, we propose a fuzzy multi-criteria model that runs on two levels of decision-making: in the first stage, the preferred portfolio considering only financial objectives is obtained. In the second stage, we will use the preferred portfolio as a reference point with respect the financial behavior and then a socially responsible portfolio is obtained. In this paper linguistic labels have been used to model the parameters of the value function proposed by Kahneman and Tversky (Econometrica XVL(II):263–291, [10]). These linguistic labels determine in a “soft” way the loss and risk aversion. The developed methodology has been applied to eight Spanish companies, which have been selected for their relevance in the Spanish stock market.

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References

  1. Bilbao-Terol A, Arenas-Parra M, Cañal-Fernández V (2012) Selection of socially responsible portfolios using goal programming and fuzzy technology. Inf Sci 189:110–125

    Article  MATH  Google Scholar 

  2. Bilbao-Terol A, Arenas-Parra M, Cañal-Fernández V, Bilbao-Terol C (2013) Selection of socially responsible portfolios using hedonic prices. J Bus Ethics 115(3):515–529

    Article  MATH  Google Scholar 

  3. Bilbao-Terol A, Arenas-Parra M, Cañal-Fernández V, Obama-Eyang, PN (2017) Multi-criteria analysis of the GRI sustainability reports: An application to socially responsible investment. J Oper Res Soc (in press). https://doi.org/10.1057/s41274-017-0229-0

  4. Brown HS, de Jong M, Levy DL (2009) Building institutions based on information disclosure: lessons from GRIs sustainability reporting. J Clean Prod 17(6):571–580

    Article  Google Scholar 

  5. Cabello JM, Ruiz F, Pérez-Gladish B (2014) Synthetic indicators of mutual funds’ environmental responsibility: an application of the reference point method. Eur J Oper Res 236(1):313–325

    Article  MathSciNet  MATH  Google Scholar 

  6. Global Reporting Initiative (GRI) (2011): Sustainability reporting guidelines. Available at https://www.globalreporting.org/resourcelibrary/G3.1-Guidelines-Incl-Technical-Protocol.pdf. Accessed 25 March 2017

  7. Haimes YY, Lasdon LS, Wismer DA (1971) On a bicriterion formulation of the problems of integrated systems identication and system optimization. IEEE Trans Syst Man Cybern 1(3):296–297

    MATH  Google Scholar 

  8. Hallerbach W, Ning H, Soppe A, Spronk J (2004) A framework for managing a portfolio of socially responsible investments. Eur J Oper Res 153:517–529

    Article  MATH  Google Scholar 

  9. Ignizio JP (1983) Generalized goal programming: an overview. Comput Oper Res 10(4):277–289

    Article  MathSciNet  Google Scholar 

  10. Kahneman D, Tversky A (1979) Prospect theory: An analysis of decision under risk. Econometrica XVL(II):263–291

    Google Scholar 

  11. Lamata MT, Liern V, Pérez-Gladish B (2016) Doing good by doing well: a MCDM framework for evaluating corporate social responsibility attractiveness. Ann Oper Res (in press). https://doi.org/10.1007/s10479-016-2271-8

  12. Liern V, Méndez-Rodríguez P, Pérez-Gladish B (2015) A soft computing approach for ranking firms based on different corporate social responsibility valuations. Appl Math Inf Sci 9(3):1113–1122

    Google Scholar 

  13. Obama-Eyang PN (2014) Modelos multicriterio para inversiones socialmente responsables. Trabajo Fin de Máster en Modelización e Investigación Matemática Estadística y Computación, MSc Thesis. Universidad de Oviedo

    Google Scholar 

  14. Rockafellar RT, Uryasev S (2000) Optimization of conditional value-at-risk. J. Risk 2:21–41

    Google Scholar 

  15. Romero C (2001) Extended lexicographic goal programming: a unifying approach. Omega-Int J Manag Sci 29:63–71

    Article  Google Scholar 

  16. Searcy C, Elkhawas D (2012) Corporate sustainability ratings: an investigation into how corporations use the Dow Jones sustainability index. J Clean Prod 35:79–92

    Article  Google Scholar 

  17. Tamiz M, Jones DF, Romero C (1998) Goal Programming for decision-making: an overview of the current state-of-the-art. Eur J Oper Res 111:569–581

    Article  MATH  Google Scholar 

  18. UK Social Investment Forum. Available at http://www.uksif.org/. Accessed 20 March 2017

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Acknowledgements

The authors wish to gratefully acknowledge the financial support from the Spanish Ministry of Economy, Industry and Competitiveness, Project ECO2015-66521-P.

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Correspondence to Amelia Bilbao-Terol .

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Bilbao-Terol, A., Jiménez-López, M., Arenas-Parra, M., Rodríguez-Uría, M.V. (2018). Fuzzy Multi-criteria Support for Sustainable and Social Responsible Investments: The Case of Investors with Loss Aversion. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_51

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_51

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