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Portfolio Selection with Skewness: A Comparison and a Generalized Two Fund Separation Result

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Author Info

  • Briec, Walter

    ()
    (Universit´e de Perpignan, Perpignan, France)

  • Kerstens, Kristiaan

    ()
    (IESEG School of Management, Lille, France)

  • Van de Woestyne, Ignace

    ()
    (Hogeschool-Universiteit Brussel (HUB), Belgium)

Abstract

The main aim of this contribution is to compare existing and newly developed techniques for geometrically representing mean-variance-skewness portfolio frontiers based on the rather widely adapted methodology of polynomial goal programming (PGP) on the one hand and the more recent approach based on the shortage function on the other hand. Moreover, we explain the working of these different methodologies in detail and provide graphical illustrations. Inspired by these illustrations, we prove a generalization of the well-known two fund separation theorem from traditional mean-variance portfolio theory.

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File URL: https://lirias.hubrussel.be/bitstream/123456789/4819/1/11HRP09.pdf
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Bibliographic Info

Paper provided by Hogeschool-Universiteit Brussel, Faculteit Economie en Management in its series Working Papers with number 2011/09.

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Length: 34 page
Date of creation: Sep 2011
Date of revision:
Handle: RePEc:hub:wpecon:201109

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Web page: http://research.hubrussel.be
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Related research

Keywords: shortage function; PGP; efficient frontier; mean-variance; mean-skewness; mean-varianceskewness;

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References

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  1. Kerstens, Kristiaan & Mounir, Amine & Van de Woestyne, Ignace, 2011. "Geometric representation of the mean-variance-skewness portfolio frontier based upon the shortage function," European Journal of Operational Research, Elsevier, vol. 210(1), pages 81-94, April.
  2. Brodie, Joshua & Daubechies, Ingrid & De Mol, Christine & Giannone, Domenico, 2007. "Sparse and Stable Markowitz Portfolios," CEPR Discussion Papers 6474, C.E.P.R. Discussion Papers.
  3. Shady Aboul-Enein & Georges Dionne & Nicolas Papageorgiou, 2013. "Performance analysis of a collateralized fund obligation (CFO) equity tranche," The European Journal of Finance, Taylor & Francis Journals, vol. 19(6), pages 518-553, July.
  4. Walter Briec & Kristiaan Kerstens & Octave Jokung, 2005. "Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach," Working Papers 2005-ECO-05, IESEG School of Management.
  5. Chunhachinda, Pornchai & Dandapani, Krishnan & Hamid, Shahid & Prakash, Arun J., 1997. "Portfolio selection and skewness: Evidence from international stock markets," Journal of Banking & Finance, Elsevier, vol. 21(2), pages 143-167, February.
  6. Briec, Walter & Kerstens, Kristiaan, 2010. "Portfolio selection in multidimensional general and partial moment space," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 636-656, April.
  7. Prakash, Arun J. & Chang, Chun-Hao & Pactwa, Therese E., 2003. "Selecting a portfolio with skewness: Recent evidence from US, European, and Latin American equity markets," Journal of Banking & Finance, Elsevier, vol. 27(7), pages 1375-1390, July.
  8. Walter Briec & Kristiaan Kerstens & Jean Baptiste Lesourd, 2002. "Single Period Markowitz Portfolio Selection, Performance Gauging and Duality: A Variation on Luenberger’s Shortage Function," Working Paper 200203, Department of Business Economics, Universitat Autonoma de Barcelona.
  9. Chun-Hao Chang & Brice Dupoyet & Arun Prakash, 2008. "Effect of intervalling and skewness on portfolio selection in developed and developing markets," Applied Financial Economics, Taylor & Francis Journals, vol. 18(21), pages 1697-1707.
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