Title
Optimal multi-period mean-variance policy under no-shorting constraint.
Abstract
We consider in this paper the mean-variance formulation in multi-period portfolio selection under no-shorting constraint. Recognizing the structure of a piecewise quadratic value function, we prove that the optimal portfolio policy is piecewise linear with respect to the current wealth level, and derive the semi-analytical expression of the piecewise quadratic value function. One prominent feature of our findings is the identification of a deterministic time-varying threshold for the wealth process and its implications for market settings. We also generalize our results in the mean-variance formulation to utility maximization with no-shorting constraint. ? 2013 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2014
10.1016/j.ejor.2013.02.040
European Journal of Operational Research
Keywords
Field
DocType
Multi-period portfolio selection,Multi-period mean–variance formulation,Expected utility maximization,No-shorting
Mathematical optimization,Quadratic equation,Bellman equation,Portfolio,Utility maximization,Piecewise linear function,Piecewise,Mathematics
Journal
Volume
Issue
ISSN
234
2
0377-2217
Citations 
PageRank 
References 
7
0.51
6
Authors
4
Name
Order
Citations
PageRank
Xiangyu Cui1201.90
Jianjun Gao25111.33
Xun Li31379.90
Duan Li472173.60