主管:中国科学院
主办:中国优选法统筹法与经济数学研究会
   中国科学院科技战略咨询研究院

Chinese Journal of Management Science ›› 2012, Vol. 20 ›› Issue (5): 1-6.

• ARTICLES •     Next Articles

The Estimating Method of VaR Based on the Threshold Double AR Model and its Application

JIANG Yong1,2, WU Wu-qing3, WANG Li-wei4, YE Wu-yi1, CHEN Min5   

  1. 1. Department of Statistics and Finance, University of Science and Technology of China,Hefei 230026, China;
    2. The Peoples Bank of China Credit Reference Center, Beijing 100190, China;
    3. School of Business, Renmin University of China, Beijing 100872, China;
    4. Department of Risk management,Bank of China, Beijing 100872, China;
    5. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2011-07-05 Revised:2012-04-09 Online:2012-10-29 Published:2012-10-27

Abstract: In most literature, the measurement methods of VaR are based on the linear statement. However, in practice this assumption cannot be satisfied quite well. So it is needed to put forward the nonlinear estimation method of VaR. In contrast to the traditional model that allows model changes to occur in the "time" space, the threshold double AR model (TDAR) uses threshold space to model the nonlinear phenomena such as asymmetry and the structure change, and also allows the structure change of mean and volatility. In this paper, the method of TDAR-VaR is presented for the first time, and the empirical research and the leverage effect analysis on SZZS and HIS index are also covered. The empirical analysis shows that this method can predict the market risk very well.

Key words: threshold double AR model, VaR, nonlinear, leverage effect

CLC Number: