Journal of Guangdong University of Technology ›› 2020, Vol. 37 ›› Issue (05): 13-21.doi: 10.12052/gdutxb.200071

Previous Articles     Next Articles

A Diversified Portfolio Selection Strategy Based on Fuzzy Return Rate

Yang Xing-yu, Liu Wei-long, Jing Ming-yue, Zhang Yong   

  1. School of Management, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2020-05-19 Online:2020-09-17 Published:2020-09-17

Abstract: Portfolio selection is one of the core issues in the field of quantitative finance. A diversified portfolio selection strategy is proposed by considering transaction cost and cardinality constraint. Firstly, the return rates of risky assets are regarded as fuzzy numbers and a fuzzy return rate fitting model is proposed to determine the fuzzy distribution of the assets’ return rates. Then, a new diversification measure is proposed for the portfolio and a fuzzy mean-semi-variance-diversification portfolio selection model is established. Next, a modified genetic algorithm is designed to solve the proposed models. Finally, an empirical example with real stock data is used to illustrate the proposed strategy. The results show that the proposed strategy performs better than the conventional portfolio selection strategies.

Key words: fuzzy portfolio model, fuzzy return rate fitting, diversification measure, modified genetic algorithm

CLC Number: 

  • F830
[1] MARKOWITZ H. Portfolio selection [J]. The Journal of Finance, 1952, 7(1): 77-91
[2] KONNO H, YAMAZAKI H. Mean-absolute deviation portfolio optimization model and its applications to Tokyo stock market [J]. Management Science, 1991, 37(5): 519-531
[3] 王伟, 刘巍. 不确定收益率下投资组合的可拓评价及变换[J]. 广东工业大学学报, 2012, 29(1): 83-87
WANG W, LIU W. Extension evaluation and transformation of the stock under uncertain profit rates [J]. Journal of Guangdong University of Technology, 2012, 29(1): 83-87
[4] 李佳, 徐维军, 张卫国. 含有背景风险的双目标投资组合模型研究[J]. 运筹与管理, 2017(4): 118-123
LI J, XU W J, ZHANG W G. Bi-objective portfolio selection model and algorithm with background risk [J]. Operations Research and Management Science, 2017(4): 118-123
[5] 杨兴雨, 何锦安, 沈健华. 基于移动窗口的适应性在线投资组合策略[J]. 广东工业大学学报, 2018, 35(3): 65-70
YANG X Y, HE J A, SHEN J H. An adaptive online portfolio strategy based on moving window [J]. Journal of Guangdong University of Technology, 2018, 35(3): 65-70
[6] ZADEH L A. Fuzzy sets [J]. Information and Control, 1965, 8(3): 338-353
[7] CARLSSON C, ROBERT F, PÉTER M. A possibilistic approach to selecting portfolios with highest utility score [J]. Fuzzy Sets and Systems, 2002, 131(1): 13-21
[8] 刘勇军, 张卫国, 徐维军. 考虑现实约束的模糊多准则投资组合优化模型[J]. 系统工程理论与实践, 2013, 33(10): 2462-2470
LIU Y J, ZHANG W G, XU W J. Fuzzy multiple criteria portfolio selection optimization model under real constrains [J]. Systems Engineering-Theory & Practice, 2013, 33(10): 2462-2470
[9] YUE W, WANG Y P, XUAN H J. Fuzzy multi-objective portfolio model based on semi-variance-semi-absolute deviation risk measures [J]. Soft Computing, 2019, 23(17): 8159-8179
[10] 王灿杰, 邓雪. 基于可信性理论的均值-熵-偏度投资组合模型及其算法求解[J]. 运筹与管理, 2019, 28(2): 154-159, 192
WANG C J, DENG X. Mean-entropy-skewness portfolio model based on credibility theory and its algorithm solution [J]. Operations Research and Management Science, 2019, 28(2): 154-159, 192
[11] 宋健, 邓雪. 基于PSO-AFSA混合算法的模糊投资组合问题的研究[J]. 运筹与管理, 2018, 27(9): 148-155
SONG J, DENG X. Research on fuzzy portfolio based on the hybrid algorithm of PSO and AFSA [J]. Operations Research and Management Science, 2018, 27(9): 148-155
[12] LIU Y J, ZHANG W G. Possibilistic moment models for multi-period portfolio selection with fuzzy returns [J]. Computational Economics, 2019, 53(4): 1657-1686
[13] GUO S, YU L, LI X, et al. Fuzzy multi-period portfolio selection with different investment horizons [J]. European Journal of Operational Research, 2016, 245(3): 1026-1035
[14] KAR M B, KAR S, GUO S N, et al. A new bi-objective fuzzy portfolio selection model and its solution through evolutionary algorithms [J]. Soft Computing, 2019, 23(12): 4367-4381
[15] ZHANG W G, ZHANG X L, XU W J. A risk tolerance model for portfolio adjusting problem with transaction costs based on possibilistic moments [J]. Insurance: Mathematics and Economics, 2010, 46(3): 493-499
[16] VERCHER E, BERMÚDEZ J D, SEGURA J V. Fuzzy portfolio optimization under downside risk measures [J]. Fuzzy Sets and Systems, 2007, 158(7): 769-782
[17] INUIGUCHI M, TANINO T. Portfolio selection under independent possibilistic information [J]. Fuzzy Sets and Systems, 2000, 155(1): 83-92
[18] TSAUR R C. Fuzzy portfolio model with different investor risk attitudes [J]. Operations Research and Management Science, 2013, 227(2): 385-390
[19] JANA P, ROY T K, MAZUMDER S K. Multi-objective possibilistic model for portfolio selection with transaction cost [J]. Journal of Computational and Applied Mathematics, 2009, 228(1): 188-196
[20] YU J R, LEE W Y, CHIOU W J P. Diversified portfolios with different entropy measures [J]. Applied Mathematics and Computation, 2014, 241(3): 47-63
[21] YUE W, WANG Y P. A new fuzzy multi-objective higher order moment portfolio selection model for diversified portfolios [J]. Physica A: Statistical Mechanics and Its Applications, 2017, 465: 124-140
[22] GUERRA M L, STEFANINI L. Approximate fuzzy arithmetic operations using monotonic interpolations [J]. Fuzzy Sets and Systems, 2005, 150(1): 5-33
[23] CARLSSON C, FULLÉR R. On possibilistic mean value and variance of fuzzy numbers [J]. Fuzzy Sets and Systems, 2001, 122(2): 315-326
[24] ZHANG W G, WANG Y L, CHEN Z P, et al. Possibilistic mean-variance models and efficient frontiers for portfolio selection problem [J]. Information Sciences, 2007, 177(13): 2787-2801
[25] LIN C C. A weighted max-min model for fuzzy goal programming [J]. Fuzzy Sets and Systems, 2004, 142(3): 407-420
[1] Zhu Huai-nian, Huang Si-han, Huang Jia-yi, Huang Yong-hao. Ambiguity Aversion and Optimal Investment and Reinsurance Strategies for Insurers with Derivative Trading [J]. Journal of Guangdong University of Technology, 2022, 39(06): 26-35.
[2] Chen Si-dou, Huang Zhuo-quan, Yang Xing-yu. A Multi-period Fuzzy Portfolio Optimization Model Considering Restricted Short Selling [J]. Journal of Guangdong University of Technology, 2021, 38(02): 39-47.
[3] He Jin-an, Wang Bei, Lin Jia-xing. An Online Portfolio Strategy Based on Active Expert Advice [J]. Journal of Guangdong University of Technology, 2020, 37(04): 59-64.
[4] Wei Sheng, Dai Ke-mian. An Analysis of Blockchain Applications in Financial Scenarios and an Exploration of Enterprise Software Architecture of Blockchain as a Service(BaaS) [J]. Journal of Guangdong University of Technology, 2020, 37(02): 1-10.
[5] Wei Sheng, Dai Ke-mian. Revolution and Prospect of Private Equity Crowd-Funding Platform Based on Blockchain Technology [J]. Journal of Guangdong University of Technology, 2019, 36(02): 37-46.
[6] Yang Xing-yu, He Jin-an, Shen Jian-hua. An Adaptive Online Portfolio Strategy Based on Moving Window [J]. Journal of Guangdong University of Technology, 2018, 35(03): 61-66.
[7] Qu Jiang, Liu Hong-wei, Zhang Yu-lei, Zhu Hui. A Research on the Pricing and Profitability Effect of Intellectual Property Asset Securitization [J]. Journal of Guangdong University of Technology, 2022, 39(01): 85-92.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!