Int. J. Society Systems Science, Vol. 3, Nos. 1/2, 2011 119
Copyright © 2011 Inderscience Enterprises Ltd.
Mutual funds return and risk decomposition
evaluation based on quadratic-constrained DEA
models
Xiujuan Zhao
School of Economics and Management,
Beijing University of Posts and Telecommunication,
Beijing 100876, China
E-mail: xjzhao@iss.ac.cn
Kin Keung Lai*
Department of Management Sciences,
City University of Hong Kong,
Tat Chee Avenue, Kowloon, Hong Kong
E-mail: mskklai@cityu.edu.hk
*Corresponding author
Shouyang Wang
Academy of Mathematics and Systems Science,
Chinese Academy of Sciences,
Beijing 100080, China
E-mail: sywang@amss.ac.cn
Abstract: This paper proposes two quadratic-constrained DEA models for the
evaluation of mutual funds, from a perspective of evaluation based on
endogenous benchmarks. In comparison to the previous studies, this paper
decomposes the two vital factors for mutual funds performance, i.e., risk and
return, in these quadratic-constrained DEA models, one of which is a partly
controllable quadratic-constrained programming, in order to construct mutual
funds’ endogenous benchmarks and give insight management suggestions. The
approach is illustrated on a sample of 64 actual mutual funds in the China
market. It identifies the root reasons of inefficiency and the ways for improving
performance. The most important conclusion is that the ranking of mutual
funds in China depends mostly on the system risk control.
Keywords: mutual funds; data envelopment analysis; DEA; performance
evaluation; efficiency; persistence.
Reference to this paper should be made as follows: Zhao, X., Lai, K.K and
Wang, S. (2011) ‘Mutual funds return and risk decomposition evaluation based
on quadratic-constrained DEA models’, Int. J. Society Systems Science,
Vol. 3, Nos. 1/2, pp.119–136.
Biographical notes: Xiujuan Zhao is an Associate Professor at the School
of Economics and Management, Beijing University of Posts and
Telecommunications. She has worked in City University of Hong Kong, the