风险资产组合的均值-WCVaR模糊投资组合优化模型

中国管理科学 ›› 2006, Vol. ›› Issue (6): 16-21.

风险资产组合的均值-WCVaR模糊投资组合优化模型

刘艳春, 高闯

辽宁大学工商管理学院, 辽宁, 沈阳, 110036

收稿日期:2006-06-13 修回日期:2006-10-30 出版日期:2006-12-28 发布日期:2012-03-07
基金资助:
国家自然科学基金项目资助(70372006);教育部人文社科基金项目(03JD630001);韩国高教财团项目(20041011)

Mean-WCVaR Fuzzy Portfolio Optimization Model of Risk Property Combination

LIU Yan-chun, GAO Chuang

College of Business Administration, Liaoning University, Shenyang 110036, China

Received:2006-06-13 Revised:2006-10-30 Online:2006-12-28 Published:2012-03-07

摘要/Abstract

摘要： 本文在均值-方差模型的框架下,建立了以Worst-Case VaR(WCVaR)代替方差作为风险测量指标的均值-WCVaR模型.同时,将对数型隶属函数引入到模型中,以证券组合期望收益率极大化和WCVaR极小化为目标,建立了对数型满意程度的模糊决策投资组合选择模型,更好地反映了投资者对目标值的取值意图.依据上海证券市场的实际数据,采用遗传算法进行了模拟计算,验证了模型的有效性.

关键词: 投资组合优化, 最坏条件下的风险值, 模糊, 遗传算法

Abstract: Based on the mean-variance model framework the essay has established the Mean-WCVaR model with a worst-case VaR(WCVaR)to replace variance as a risk measurement indicator.Meanwhile,the logistic membership function is introduced into the model.The essay regards the maximization of portfolio return and the minimization of worst-case VaR as its goal and sets up a fuzzy selection model of investment portfolio which is satisfied with the logistic membership.It better reflects the value of intent given by the investor to the goal value.According to the actual data of Shanghai Security,we use the genetic algorithm to simulate and test the validity of the model.

Key words: portfolio optimization, worst-case VaR, fuzzy, genetic algorithm

中图分类号:

F224.3

刘艳春, 高闯. 风险资产组合的均值-WCVaR模糊投资组合优化模型[J]. 中国管理科学, 2006, (6): 16-21.

LIU Yan-chun, GAO Chuang. Mean-WCVaR Fuzzy Portfolio Optimization Model of Risk Property Combination[J]. Chinese Journal of Management Science, 2006, (6): 16-21.

参考文献

[1] Markowitz H..Portfolio selection[J].Journal of Finance,1952,3(7):77-91.
[2] Konno H..Piecewise linear sisk functions and portfolio optimization[J].Journal of the Operations Research Society of Japan,1990,33(2):139-156.
[3] 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.
[4] Mao J.C.T..Models of capital budgeting,E-V vs E-S[J].Journal of Financial and Quantitative Analysis,1970,5:657-675.
[5] Swalm R.O..Utility theory-insights into risk taking[J].Harvard Business Review,1966,44:123-136.
[6] Mansini R.,Speranza M.G..Heuristic algorithms for the portfolio selection problem with minimum transaction lots[J].European Journal of Operational Research,1999,114:219-233.
[7] Speranza M.G..Linear programming models for portfolio optimization[J].Finance,1993,14:107-123.
[8] Young M.R..A minimax portfolio selection rule with linear programming solution[J].Management Science,1998,44:673-683.
[9] Cai X.Q.,TeoK.L.,Yan X.Q.,Zhou X.Y.,Portfolio optimization under a minimax rule[J].Management Science,2000,46:957-972.
[10] Alexander G.J.,Baptists A.M..Economic implications of using a mean-VaR model for portfolio selection:A comparison with mean-variance Analysis[J].Journal of Economic Dynamics and Control,2002,26:1159-1193.
[11] 姚京,李仲飞.基于VaR的金融资产配置模型[J].中国管理科学,2004,12(1):8-14.
[12] Tanaka H.,Guo P..Portfolio selection based on upper and lower exponential possibility distributions[J].European Journal of Operational Research,1999,114:115-126.
[13] Tanaka H.,Guo P..Portfolio selection based on fuzzy probabilities and possibility distributions[J].Fuzzy Sets and Systems,2000,111:387-397.
[14] Laurent E.G.,Maksim O.,Francois O..Worst-case value-at-risk and robust portfolio optimization:a conic programming approach[J].Operation Research of Informs,2003,51(4):543-556.
[15] H.Leberling.On finding compromised solutions in multicriteria problems using the fuzzy min-operator[J].Fuzzy Sets and Systems.1981,6(2):105-118.
[16] R.E.Bellman,L.A.Zadeh.Decision making in a fuzzy environment[J].Management Science,1970,17:141 -164.
[17] 雷英杰,张善文,李缕武,周创明.MATLAB遗传算法工具箱及应用[M].西安电子科技大学出版社,2005.