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多心理账户投资决策优化模型研究
引用本文:厉浩,陈庭强,何建敏.多心理账户投资决策优化模型研究[J].中国矿业大学学报(社会科学版),2012,14(1):54-58.
作者姓名:厉浩  陈庭强  何建敏
作者单位:1. 东南大学经济管理学院,江苏南京210096/江苏省教育考试院网络信息中心,江苏南京210024
2. 东南大学经济管理学院,江苏南京,210096
基金项目:国家自然科学基金项目(项目编号:71071034);江苏省自然科学基金项目(项目编号:BK2009290);教育部人文社科基金项目(项目编号09YJA630021;10YJC630296)
摘    要:本文在行为投资组合模型的基础上,引入模糊数学来描述投资者在多心理账户下投资决策过程中的多种模糊属性,用隶属度函数刻画投资者的心理满意度。本文在投资收益服从Log-Normal分布,用下偏矩的方法度量每个心理账户的风险承受度。最后根据模型给出了相应的数值模拟。

关 键 词:投资组合  心理账户  模糊数学  对数正态分布

Optimization Model of Investment Decision Based on the Fuzzy Theory with Multiple Mental Accounts
LI Hao,CHEN Ting-qiang,HE Jian-min.Optimization Model of Investment Decision Based on the Fuzzy Theory with Multiple Mental Accounts[J].Journal of China University of Mining & Technology(Social Sciences),2012,14(1):54-58.
Authors:LI Hao  CHEN Ting-qiang  HE Jian-min
Institution:1(1.School of Economic Management,Southeast University,Nanjing 210096,China; 2.Network Information Center,Jiangsu Provincial Education Examination Authority,Nanjing 210024,China)
Abstract:With the mental accounts as the theoretical framework and on the basis of behavior portfolio model,this paper introduces fuzzy mathematics to describe multiple fuzzy attributes of investors in decision-making process.The investor’s mental satisfaction is depicted by using membership functions.In this paper,the investor’s profits are subject to Log-Normal distribution.The risk tolerance of every mental account is measured by means of lower partial moment.Finally,the corresponding numerical simulation is suggested based on the model.
Keywords:investment portfolio  mental accounts  fuzzy mathematics  Log-Normal
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