# Multi-period mean–semivariance portfolio optimization based on uncertain measure

Multi-period mean–semivariance portfolio optimization based on uncertain measure In this paper, we discuss a multi-period portfolio selection problem when security returns are given by experts’ estimations. By considering the security returns as uncertain variables, we propose a multi-period mean–semivariance portfolio optimization model with real-world constraints, in which transaction costs, cardinality and bounding constraints are considered. Furthermore, we provide an equivalent deterministic form of mean–semivariance model under the assumption that the security returns are zigzag uncertain variables. After that, a modified imperialist competitive algorithm is developed to solve the corresponding optimization problem. Finally, a numerical example is given to illustrate the effectiveness of the proposed model and the corresponding algorithm. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Soft Computing Springer Journals

# Multi-period mean–semivariance portfolio optimization based on uncertain measure

, Volume 23 (15) – Jun 2, 2018
17 pages      /lp/springer_journal/multi-period-mean-semivariance-portfolio-optimization-based-on-6bB89gUpWy
Publisher
Springer Journals
Subject
Engineering; Computational Intelligence; Artificial Intelligence; Mathematical Logic and Foundations; Control, Robotics, Mechatronics
ISSN
1432-7643
eISSN
1433-7479
DOI
10.1007/s00500-018-3281-z
Publisher site
See Article on Publisher Site

### Abstract

In this paper, we discuss a multi-period portfolio selection problem when security returns are given by experts’ estimations. By considering the security returns as uncertain variables, we propose a multi-period mean–semivariance portfolio optimization model with real-world constraints, in which transaction costs, cardinality and bounding constraints are considered. Furthermore, we provide an equivalent deterministic form of mean–semivariance model under the assumption that the security returns are zigzag uncertain variables. After that, a modified imperialist competitive algorithm is developed to solve the corresponding optimization problem. Finally, a numerical example is given to illustrate the effectiveness of the proposed model and the corresponding algorithm.

### Journal

Soft ComputingSpringer Journals

Published: Jun 2, 2018

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