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平稳序列的POT模型及其在汇率风险价值中的应用
引用本文:高松,李琳,史道济.平稳序列的POT模型及其在汇率风险价值中的应用[J].系统工程,2004,22(6):49-53.
作者姓名:高松  李琳  史道济
作者单位:天津大学,理学院,南开大学-天津大学刘徽应用数学中心,天津,300072
基金项目:南开大学-天津大学刘徽应用数学中心资助项目(T08)
摘    要:经典的极值模型要求数据是独立同分布的,本文考虑平稳序列,引入极值指标,并利用分串方法,建立POT模型,对VaR和CVaR进行估计,最后对日元/美元的汇率进行实证研究。通过比较发现,引入极值指标后,提高了VaR估计的精度。

关 键 词:POT模型  极值指标  风险价值  条件风险价值
文章编号:1001-4098(2004)06-0049-05

The POT Model for the Stationary Sequence and Its Application in Computing Value-at-Rrisk of Exchange Rates
GAO Song,LI Lin,SHI Dao-jiSchool of Science,Tianjin University,LiuHui Center for Applied Mathematics,Tianjin University,Tianjin ,China.The POT Model for the Stationary Sequence and Its Application in Computing Value-at-Rrisk of Exchange Rates[J].Systems Engineering,2004,22(6):49-53.
Authors:GAO Song  LI Lin  SHI Dao-jiSchool of Science  Tianjin University  LiuHui Center for Applied Mathematics  Tianjin University  Tianjin  China
Institution:GAO Song,LI Lin,SHI Dao-jiSchool of Science,Tianjin University,LiuHui Center for Applied Mathematics,Tianjin University,Tianjin 300072,China)
Abstract:The classic extreme value theory requests that sequence is independent and has identical distribution. We intro- (duce) the extremal index under the assumption that the sequence is stationary, and build a POT model by using the method of declustering, then calculate the estimates of VaR and CVaR. The computation result of JPY/USD foreign exchange rate presented at last proves that the accurate for the estimations has been improved by introducing the extremal index.
Keywords:The POT Model  The Extremal Index  Value-at-Risk  Conditional Value-at-Risk
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