Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2020, Vol. 37 ›› Issue (2): 155-164.doi: 10.3969/j.issn.1005-3085.2020.02.003

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Mean-variance Lower-semi-variance Portfolio Model with Transaction Costs

WANG Xiao-qin1,  GAO Yue-lin1,2   

  1. 1- School of Mathematics and Informational Science, North Minzu University, Yinchuan 750021
    2- Ningxia Province Key Laboratory of Intelligent Information and Big Data Processing, Yinchuan 750021
  • Received:2018-01-18 Accepted:2018-06-25 Online:2020-04-15 Published:2020-06-15
  • Contact: Y. Gao. E-mail address: gaoyuelin@263.net
  • Supported by:
    The National Natural Science Foundation of China (11961001; 61561001); the Construction Project of First-class Subjects in Ningxia Higher Education (NXYLXK2017B09); the Key Scientific Research Project of North Minzu University (ZDZX201901).

Abstract: The research on portfolio selection provides a quantifiable way and scientific basis for investment decision and risk management. In this paper, we introduce a typical nonconcave and nonconvex transaction cost function, and establish a mean-variance lower-semi-variance portfolio model with transaction cost. Considering that different investors have different degrees of risk aversion, the risk aversion coefficient is introduced and the double objective portfolio optimization model is transformed into single objective portfolio optimization model. The model is solved by using Teaching and Learning algorithm, and the optimal portfolio under different returns is obtained. At the same time, the effective boundary of portfolio is given. Finally, the advantage of the algorithm is analyzed, and a good simulation result is presented.

Key words: portfolio, mean-variance, lower semi-variance, transaction cost, teaching-learning-based optimization

CLC Number: