Nonparametric portfolio efficiency measurement with higher moments

Artikel

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Empirical Economics ; ISSN: 1435-8921 ; Volume: 61 ; Year: 2020 ; Issue: 3 ; Pages: 1435-1459 ; Berlin, Heidelberg: Springer

Classification and Topics

• Classification: Wirtschaft ; Portfolio Choice; Investment Decisions ; Semiparametric and Nonparametric Methods: General
• Subject: Finance ; Portfolio choice ; Directional distance functions ; Skewness and kurtosis

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Krüger, Jens J.
• Event: Veröffentlichung
• (who): Springer
• (where): Berlin, Heidelberg
• (when): 2020

Further information

• DOI: doi:10.1007/s00181-020-01917-0
• Last update: 10.03.2025, 11:42 AM CET