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基于两时段的WCVaR风险分析及其应用
引用本文:何冬梅,童小娇,唐民.基于两时段的WCVaR风险分析及其应用[J].经济数学,2011(4):24-29.
作者姓名:何冬梅  童小娇  唐民
作者单位:长沙理工大学数学与计算科学学院;长沙理工大学电气与信息工程学院
基金项目:湖南省自然科学衡阳联合基金重点资助项目(10JJ8008);国家自然科学基金资助项目(10871031)
摘    要:针对随机变量的分布信息不完全的情况下,提出了两时段的Worst-Case Conditional Valueat-Risk(WCVaR)指标,并建立了两时段的风险-利润投资组合优化模型,该模型是一高维问题,具有复杂的优化结构.在损失函数为线性以及随机变量为离散界约束分布的假设下,运用最优化对偶理论将具有多层min-ma...

关 键 词:条件风险  两时段  投资组合优化

WCVaR Risk Analysis in Two-Time Periods and Calculation
HE Dong-mei,TONG Xiao-jiao,TANG Min.WCVaR Risk Analysis in Two-Time Periods and Calculation[J].Mathematics in Economics,2011(4):24-29.
Authors:HE Dong-mei  TONG Xiao-jiao  TANG Min
Institution:1.College of Mathematics and Computing Science,Changsha University of Science and Technology,Changsha,Hunan 410114,China; 2.College of Electrical and Information Engineering,Changsha University of Science and Technology,Changsha,Hunan 410114,China)
Abstract:According to the known part information of random variable ,this paper presented a concept of worst-case conditional value-at-risk(WCVaR) in two-time periods, and set up a profit-risk robust portfolio model. This model is a high- dimension problem and has multi-layer min-max type. For the case of linear loss function and box discrete distribution of ran- dom variable,the new model can be further reformulated equivalently to simple linear programming problem by using optimal duality theory. This study is the development of one-stage, whicn can be used for risk-profit problems with the uncertain distri- bution of random variables. Becanuse electric power market is a typical risk market, WCVaR in two-time periods was used for solving power asset allocation in power markets,and the numerical results show the validity of the proposed method.
Keywords:conditional value-at-risk(CVaR)  two-time periods  portfolio optimization
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