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Geometric Representation of the Mean-Variance-Skewness Portfolio Frontier Based upon the Shortage Function

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Author Info

  • Kristiaan Kerstens

    ()
    (CNRS-LEM (UMR 8179), IESEG School of Management)

  • Amine Mounir

    ()
    (Hogeschool Universiteit Brussel, Brussels, Belgium)

  • Amine Mounir

    ()
    (Hogeschool Universiteit Brussel, Brussels, Belgium)

  • Ignace Van de Woestyne

    ()
    (Hogeschool Universiteit Brussel, Brussels, Belgium)

Abstract

The literature suggests that investors prefer portfolios based on mean, variance and skewness rather than portfolios based on mean-variance (MV) criteria solely. Furthermore, a small variety of methods have been proposed to determine mean-variance-skewness (MVS) optimal portfolios. Recently, the shortage function has been introduced as a measure of efficiency, allowing to characterize MVS optimalportfolios using non-parametric mathematical programming tools. While tracing the MV portfolio frontier has become trivial, the geometric representation of the MVS frontier is an open challenge. A hitherto unnoticed advantage of the shortage function is that it allows to geometrically represent the MVS portfolio frontier. The purpose of this contribution is to systematically develop geometric representations of the MVS portfolio frontier using the shortage function and related approaches.

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Bibliographic Info

Paper provided by IESEG School of Management in its series Working Papers with number 2008-ECO-17.

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Length: 32 pages
Date of creation: Nov 2008
Date of revision:
Handle: RePEc:ies:wpaper:e200817

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Related research

Keywords: shortage function; efficient frontier; mean-variance-skewness efficiency;

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References

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  1. 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.
  2. Walter Briec & Kristiaan Kerstens, 2009. "Portfolio Selection in Multidimensional General and Partial Moment Space," Working Papers 2009-ECO-08, IESEG School of Management.
  3. 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.
  4. Enrique Sentana & Javier Mencía, 2008. "Multivariate Location-Scale Mixtures Of Normals And Mean-Variance-Skwness Portfolio Allocation," Working Papers wp2008_0805, CEMFI.
  5. Arditti, Fred D., 1975. "Skewness and Investors' Decisions: A Reply," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 10(01), pages 173-176, March.
  6. Kane, Alex, 1982. "Skewness Preference and Portfolio Choice," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(01), pages 15-25, March.
  7. Joro, Tarja & Na, Paul, 2006. "Portfolio performance evaluation in a mean-variance-skewness framework," European Journal of Operational Research, Elsevier, vol. 175(1), pages 446-461, November.
  8. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September.
  9. Sun, Qian & Yan, Yuxing, 2003. "Skewness persistence with optimal portfolio selection," Journal of Banking & Finance, Elsevier, vol. 27(6), pages 1111-1121, June.
  10. FERRIER, Gary & KERSTENS, Kris & VANDEN EECKAUT, Philippe, 1994. "Radial and Nonradial Technical Efficiency Measures on a DEA Reference Technology : A Comparison using US Banking Data," CORE Discussion Papers 1994023, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394.
  12. Jondeau, E. & Rockinger, M., 2004. "Optimal Portfolio Allocation Under Higher Moments," Working papers 108, Banque de France.
  13. Daraio, Cinzia & Simar, Leopold, 2006. "A robust nonparametric approach to evaluate and explain the performance of mutual funds," European Journal of Operational Research, Elsevier, vol. 175(1), pages 516-542, November.
  14. Todd Mitton & Keith Vorkink, 2007. "Equilibrium Underdiversification and the Preference for Skewness," Review of Financial Studies, Society for Financial Studies, vol. 20(4), pages 1255-1288.
  15. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October.
  16. 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.
  17. Andre F. Perold, 1984. "Large-Scale Portfolio Optimization," Management Science, INFORMS, vol. 30(10), pages 1143-1160, October.
  18. Rubinstein, Mark E., 1973. "The Fundamental Theorem of Parameter-Preference Security Valuation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(01), pages 61-69, January.
  19. William F. Sharpe, 1965. "Mutual Fund Performance," The Journal of Business, University of Chicago Press, vol. 39, pages 119.
  20. Michael C. Jensen, 1968. "The Performance Of Mutual Funds In The Period 1945–1964," Journal of Finance, American Finance Association, vol. 23(2), pages 389-416, 05.
  21. Joseph Eisenhauer & Luigi Ventura, 2003. "Survey measures of risk aversion and prudence," Applied Economics, Taylor & Francis Journals, vol. 35(13), pages 1477-1484.
  22. Briec, W., 2000. "An extended Fare-Lovell technical efficiency measure," International Journal of Production Economics, Elsevier, vol. 65(2), pages 191-199, April.
  23. Campbell R. Harvey & Akhtar Siddique, 2000. "Conditional Skewness in Asset Pricing Tests," Journal of Finance, American Finance Association, vol. 55(3), pages 1263-1295, 06.
  24. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
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Citations

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Cited by:
  1. Goh, Joel Weiqiang & Lim, Kian Guan & Sim, Melvyn & Zhang, Weina, 2012. "Portfolio value-at-risk optimization for asymmetrically distributed asset returns," European Journal of Operational Research, Elsevier, vol. 221(2), pages 397-406.
  2. Briec, Walter & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2011. "Portfolio Selection with Skewness: A Comparison and a Generalized Two Fund Separation Result," Working Papers 2011/09, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
  3. Chang, Tzu-Pu & Hu, Jin-Li & Chou, Ray Yeutien & Sun, Lei, 2012. "The sources of bank productivity growth in China during 2002–2009: A disaggregation view," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1997-2006.
  4. Brandouy, Olivier & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2009. "Exploring Bi-Criteria versus Multi-Dimensional Lower Partial Moment Portfolio Models," Working Papers 2009/29, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
  5. Walter Briec & Kristiaan Kerstens & Ignace Van de Woestyne, 2013. "Portfolio Selection with Skewness: A Comparison of Methods and a Generalized One Fund Result," Working Papers 2013-ECO-04, IESEG School of Management.
  6. K. Saranya & P. Prasanna, 2014. "Portfolio Selection and Optimization with Higher Moments: Evidence from the Indian Stock Market," Asia-Pacific Financial Markets, Springer, vol. 21(2), pages 133-149, May.
  7. Constantin Zopounidis & Michael Doumpos, 2013. "Multicriteria decision systems for financial problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 21(2), pages 241-261, July.

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