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基于模糊优化的最优投资组合模型的研究 被引量:1

Study on a Best Portfolio Model Based on Fuzzy Optimization and Its Application
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摘要 证券价格的波动可视为动态模糊系统,利用模糊数的概念分析了证券价格的变化规律并定义了证券价格的期望值、投资收益率的期望值、预期风险系数,得到一个以熵和极小化风险为目标的证券投资数学模型.利用这些结果,为证券投资者的决策问题提供了一个新的解决途径. We can regard the fluctuation of securities prices as a fuzzy system. In this paper, we make use of the concept of fuzzy number to analyze the laws of changes of securities prices and define these concepts: the expectation value of securities prices, the expectation value of rate of yield, the coefficients of expected risks. Besides, we get a multi-objective mathematic model of securities investment based on three objective functions of this model, that is, income, risk and entropy respectively. By using these results, the model supplies a new solving method for decision questions of securities investment.
作者 戴晓娟
出处 《宁夏师范学院学报》 2008年第6期76-79,共4页 Journal of Ningxia Normal University
基金 教育部重点基金资助项目(20816)
关键词 隶属函数 模糊数 证券投资组合 Membership function Fuzzy Number Entropy Portfolio function
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  • 1唐小我,曹长修.组合证券投资有效边界的研究[J].预测,1993,12(4):35-38. 被引量:55
  • 2姜丹,钱玉美.效用风险熵[J].中国科学技术大学学报,1994,24(4):461-469. 被引量:17
  • 3刘星,杨秀苔.证券组合投资决策的两种最优化方法[J].预测,1996,15(1):66-68. 被引量:3
  • 4张卫国,王荫清.无风险投资或贷款下证券组合优化模型及应用[J].预测,1996,15(6):65-67. 被引量:17
  • 5[1]Merton, R. , Optimal consumption and protfolio rules in a continuous time model, J of Economic Theory, 3(1971),373-413.
  • 6[2]Karatzas, I. , Lehoczky, J. P. , Shreve S E. Optimal portfiolio and consumption decisions for a "small investor" on a finite horizon. SIAM J Control & Optim, 25: 6(1987), 1558~ 1586.
  • 7[4]Duffie, D. , Hedging in incomplete markets with HARA utility, J of Economic Dynamics and Control,21(1997), 753- 782.
  • 8[5]Karatzas, I. , SE. Brownian motion and stochastic calculus, New York: Springer Verlag, 1988,372-387.
  • 9Dorigo M, Gambardella L M. Ant colony system : a cooperative learning approach to the travelling salesman problem[J]. IEEE Transactions on Evolutionary Computation, 1997, 1(1) : 53-- 66.
  • 10Stützle T, Hoos H. MAX-min ant system[J]. Future Generation Comput Systems, 2000, 16: 889--914.

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