Title: Multi-period mean-variance portfolio selection with practical constraints using heuristic genetic algorithms
Authors: Yao-Tsung Chen; Hao-Qun Yang
Addresses: Department of Computer Science and Information Engineering, National Penghu University of Science and Technology, Taiwan, No. 300, Liao-ho Rd., Ma-kung City, Peng-hu County, 88046, Taiwan ' Department of Computer Science and Information Engineering, National Penghu University of Science and Technology, Taiwan, No. 300, Liao-ho Rd., Ma-kung City, Peng-hu County, 88046, Taiwan
Abstract: Since Markowitz proposed the mean-variance (MV) formulation in 1952, it has been used to configure various portfolio selection problems. However Markowitz's solution is only for a single period. Multi-period portfolio selection problems have been studied for a long time but most solutions depend on various forms of utility function, which are unfamiliar to general investors. Some works have formulated the problems as MV models and solved them analytically in closed form subject to certain assumptions. Unlike analytical solutions, genetic algorithms (GA) are more flexible because they can solve problems without restrictive assumptions. The purpose of this paper is to formulate multi-period portfolio selection problems as MV models and solve them by GA. To illustrate the generality of our algorithm, we implement a program by Microsoft Visual Studio to solve a multi-period portfolio selection problem for which there exists no general analytical solution.
Keywords: multi-period portfolio selection; mean-variance formulation; genetic algorithm; transaction costs.
International Journal of Computational Economics and Econometrics, 2020 Vol.10 No.3, pp.209 - 221
Received: 11 Apr 2017
Accepted: 22 Jan 2018
Published online: 13 Jul 2020 *