Single period Markowitz portfolio selection, performance gauging and duality : a variation on Luenberger's shortage function
Briec, Walter
Kerstens, Kristiaan
Lesourd, Jean-Baptiste
Universitat Autònoma de Barcelona. Departament d'Empresa

Imprint: Universitat Autònoma de Barcelona. Departament d'Economia de l'Empresa 2002
Abstract: Markowitz portfolio theory (1952) has induced research into the efficiency of portfolio management. This paper studies existing nonparametric efficiency measurement approaches for single period portfolio selection from a theoretical perspective and generalises currently used efficiency measures into the full mean-variance space. Therefore, we introduce the efficiency improvement possibility function (a variation on the shortage function), study its axiomatic properties in the context of Markowitz efficient frontier, and establish a link to the indirect mean-variance utility function. This framework allows distinguishing between portfolio efficiency and allocative efficiency. Furthermore, it permits retrieving information about the revealed risk aversion of investors. The efficiency improvement possibility function thus provides a more general framework for gauging the efficiency of portfolio management using nonparametric frontier envelopment methods based on quadratic optimisation.
Rights: Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. Creative Commons
Language: Anglès
Series: Departament d'Economia de l'Empresa. Documents de treball
Series: Document de treball (Universitat Autònoma de Barcelona. Departament d'Economia de l'Empresa) ; 02/3
Document: Working paper
Subject: Cartera de valors ; Administració ; Inversions ; Models matemàtics



38 p, 757.4 KB

The record appears in these collections:
Research literature > Working papers > Department of Business. Working papers

 Record created 2009-07-15, last modified 2024-05-26



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