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Benchmarking Mean-Variance Portfolios. Using a Shortage Function: The Choice of Direction Vector

Author

Listed:
  • Kerstens, Kristiaan

    () (IESEG School of Management, F-59000 Lille, France)

  • Mounir, Amine

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

  • Van de Woestyne, Ignace

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

Abstract

The shortage function has been proposed as a tool to gauge portfolio performance in multi-moment portfolio models. An open issue is how the choice of direction vector affects the efficiency measurement and, from a practical point of view, the resulting league tables. This paper illustrates empirically how the choice of direction vector affects the relative ranking of portfolios.

Suggested Citation

  • Kerstens, Kristiaan & Mounir, Amine & Van de Woestyne, Ignace, 2010. "Benchmarking Mean-Variance Portfolios. Using a Shortage Function: The Choice of Direction Vector," Working Papers 2010/01, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
  • Handle: RePEc:hub:wpecon:201001
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    References listed on IDEAS

    as
    1. Walter Briec & Kristiaan Kerstens & Octave Jokung, 2007. "Mean-Variance-Skewness Portfolio Performance Gauging: A General Shortage Function and Dual Approach," Management Science, INFORMS, vol. 53(1), pages 135-149, January.
    2. Mencía, Javier & Sentana, Enrique, 2009. "Multivariate location-scale mixtures of normals and mean-variance-skewness portfolio allocation," Journal of Econometrics, Elsevier, vol. 153(2), pages 105-121, December.
    3. R. Russell & William Schworm, 2009. "Axiomatic foundations of efficiency measurement on data-generated technologies," Journal of Productivity Analysis, Springer, vol. 31(2), pages 77-86, April.
    4. repec:pal:jorsoc:v:55:y:2004:i:10:d:10.1057_palgrave.jors.2601768 is not listed on IDEAS
    5. repec:bbe:wpaper:200203 is not listed on IDEAS
    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. Walter Briec & Hervé Leleu, 2003. "Dual Representations of Non-Parametric Technologies and Measurement of Technical Efficiency," Journal of Productivity Analysis, Springer, vol. 20(1), pages 71-96, July.
    8. Jarrow, Robert A. & Purnanandam, Amiyatosh K., 2005. "A generalized coherent risk measure: The firm's perspective," Finance Research Letters, Elsevier, vol. 2(1), pages 23-29, March.
    9. Walter Briec & Kristiaan Kerstens & Jean Baptiste Lesourd, 2001. "Single Period Markowitz Portfolio Selection, Performance Gading and Duality: A Variation on Luenberger'a Shortage Function," Working Papers 0203, Departament Empresa, Universitat Autònoma de Barcelona, revised Apr 2002.
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