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Social responsibility and mean-variance portfolio selection

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  • Bastien Drut

Abstract

In theory, investors choosing to invest only in socially responsible entities restrict their investment universe and should thus be penalized in a mean-variance framework. When computed, this penalty is usually viewed as valid for all socially responsible investors. This paper shows however that the additional cost for responsible investing depends essentially on the investors’ risk aversion. Social ratings are introduced in mean-variance optimization through linear constraints to explore the implications of considering a social responsibility (SR) threshold in the traditional Markowitz (1952) portfolio selection setting. We consider optimal portfolios both with and without a risk-free asset. The SR-efficient frontier may take four different forms depending on the level of the SR threshold: a) identical to the non-SR frontier (i.e. no cost), b) only the left portion is penalized (i.e. a cost for high-risk-aversion investors only), c) only the right portion is penalized (i.e. a cost for low-risk aversion investors only) and d) the whole frontier is penalized (i.e. a positive cost for all the investors). By precisely delineating under which circumstances SRI is costly, those results help elucidate the apparent contradiction found in the literature about whether or not SRI harms diversification.

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Bibliographic Info

Paper provided by ULB -- Universite Libre de Bruxelles in its series Working Papers CEB with number 10-002.RS.

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Length: 36 p.
Date of creation: 2010
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Publication status: Published by:
Handle: RePEc:sol:wpaper:10-002

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Related research

Keywords: Socially Responsible Investment; Portfolio Selection; Mean-variance Optimization; Linear Constraint; Socially Responsible Ratings.;

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References

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  1. Bastien Drut, 2009. "Nice but cautious guys: The cost of responsible investing in the bond markets," Working Papers CEB 09-034.RS, ULB -- Universite Libre de Bruxelles.
  2. Renneboog, Luc & Ter Horst, Jenke & Zhang, Chendi, 2008. "Socially responsible investments: Institutional aspects, performance, and investor behavior," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1723-1742, September.
  3. Roon, F.A. de & Nijman, T.E., 1998. "Testing for mean-variance spanning: A survey," Discussion Paper 1998-132, Tilburg University, Center for Economic Research.
  4. Best, Michael J. & Grauer, Robert R., 1990. "The efficient set mathematics when mean-variance problems are subject to general linear constraints," Journal of Economics and Business, Elsevier, vol. 42(2), pages 105-120, May.
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Cited by:
  1. Marie Briere & Ariane Szafarz, 2011. "Investment in Microfinance Equity: Risk, Return, and Diversification Benefits," Working Papers CEB 11-050, ULB -- Universite Libre de Bruxelles.

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