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Tri-criterion inverse portfolio optimization with application to socially responsible mutual funds

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  • Utz, Sebastian
  • Wimmer, Maximilian
  • Hirschberger, Markus
  • Steuer, Ralph E.

Abstract

We present a framework for inverse optimization in a Markowitz portfolio model that is extended to include a third criterion. The third criterion causes the traditional nondominated frontier to become a surface. Until recently, it had not been possible to compute such a surface. But by using a new method that is able to generate the nondominated surfaces of tri-criterion portfolio selection problems, we are able to compute via inverse optimization the implied risk tolerances of given funds that pursue an additional objective beyond risk and return. In applying this capability to a broad sample of conventional and socially responsible (SR) mutual funds, we find that there appears to be no significant evidence that social responsibility issues, after the screening stage, are further taken into account in the asset allocation process, which is a result that is likely to be different from what many SR investors would expect.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 234 (2014)
Issue (Month): 2 ()
Pages: 491-498

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Handle: RePEc:eee:ejores:v:234:y:2014:i:2:p:491-498

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Web page: http://www.elsevier.com/locate/eor

Related research

Keywords: Socially responsible investing; Inverse optimization; Portfolio selection; Multiple criteria optimization; Nondominated surfaces; Multiple criteria decision making;

References

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Cited by:
  1. Cabello, J.M. & Ruiz, F. & Pérez-Gladish, B. & Méndez-Rodríguez, P., 2014. "Synthetic indicators of mutual funds’ environmental responsibility: An application of the Reference Point Method," European Journal of Operational Research, Elsevier, Elsevier, vol. 236(1), pages 313-325.

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