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Nonparametric portfolio efficiency measurement with higher moments

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  • Jens J. Krüger

    (Technical University of Darmstadt)

Abstract

The paper considers a nonparametric approach to determine portfolio efficiency using specific directions toward the portfolio frontier function. This approach allows for a straightforward incorporation of higher moments of the returns distribution beyond mean and variance. The nonparametric approach is extended by the computation of optimal directions endogenously by maximizing the distance toward the portfolio frontier as a novel methodological feature. An empirical application to Fama–French portfolios demonstrates the applicability of the nonparametric approach. The results show that the optimal directions to the frontier depend on the portfolio considered as well as on the period for which the moments are estimated. Skewness in particular plays a role in determining the optimal direction, whereas kurtosis seems to be less crucial.

Suggested Citation

  • Jens J. Krüger, 2021. "Nonparametric portfolio efficiency measurement with higher moments," Empirical Economics, Springer, vol. 61(3), pages 1435-1459, September.
    • Handle: RePEc:spr:empeco:v:61:y:2021:i:3:d:10.1007_s00181-020-01917-0
    DOI: 10.1007/s00181-020-01917-0
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    References listed on IDEAS

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    More about this item

    Keywords

    Finance; Portfolio choice; Directional distance functions; Skewness and kurtosis;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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