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Benchmarking mean-variance portfolios using a shortage function: the choice of direction vector affects rankings!

Author

Listed:
  • K Kerstens

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

  • A Mounir

    (Mundiapolis University, Casablanca, Morocco)

  • I Van de Woestyne

    (Hogeschool-Universiteit Brussel, Brussels, Belgium)

Abstract

In addition to its use in data envelopment analysis models, the shortage function has been proposed as a tool to gauge performance in multi-moment portfolio models. An open issue is how the choice of direction vector affects the efficiency measurement, especially when some of the data can be negative and, from a practical point of view, whether and how the resulting league tables are affected. This paper illustrates empirically how the choice of direction vector affects the relative ranking of mean-variance portfolios. This result is relevant to all frontier-based applications, especially those where some of the data can be naturally negative.

Suggested Citation

  • K Kerstens & A Mounir & I Van de Woestyne, 2012. "Benchmarking mean-variance portfolios using a shortage function: the choice of direction vector affects rankings!," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(9), pages 1199-1212, September.
    • Handle: RePEc:pal:jorsoc:v:63:y:2012:i:9:p:1199-1212
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    Cited by:

    1. Briec, Walter & Dumas, Audrey & Kerstens, Kristiaan & Stenger, Agathe, 2022. "Generalised commensurability properties of efficiency measures: Implications for productivity indicators," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1481-1492.
    2. Cinzia Daraio & Léopold Simar, 2016. "Efficiency and benchmarking with directional distances: a data-driven approach," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(7), pages 928-944, July.
    3. Farshad Noravesh & Kristiaan Kerstens, 2022. "Some connections between higher moments portfolio optimization methods," Papers 2201.00205, arXiv.org.
    4. Paulo Matos & Guilherme Padilha & Maurício Benegas, 2016. "On the management efficiency of Brazilian stock mutual funds," Operational Research, Springer, vol. 16(3), pages 365-399, October.

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