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Chinese Journal of Management Science ›› 2017, Vol. 25 ›› Issue (2): 10-20.doi: 10.16381/j.cnki.issn1003-207x.2017.02.002

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Risk analysis of Foreign Exchange Portfolios Based on High-dimensional Dynamic Vine Copula

HAN Chao, YAN Tai-hua   

  1. School of Economics and Business Administration, Chongqing University, Chongqing 400044, China
  • Received:2015-11-09 Revised:2016-10-05 Online:2017-02-20 Published:2017-05-03

Abstract: The structure of high-dimensional dynamic vine copula can overcome ‘dimensional curse’ faced by bivariate Copula and dynamically describe nonlinear dependence between multi-variables, and represents the academic frontier. Five kinds of foreign exchange log-returns, including USD, EUR, JPY, HKD and GBP, are selected to make empirical analysis, Time series are fitted with AR-GJR-GARCH and GPD models. After probability integral transform, high-dimensional dynamic C and D vine copulas are modelled. Then, portfolio VaR sets are got by Monte-Carlo method, tested by UC back testing, and compared to the corresponding static research. The results show that VaR based on high-dimensional dynamic C vine copula performs the best, and marginal risk of USD is considered as the least by VaR decomposition, the more USD the lest risk. The conclusions provide a new model and method to quantify risk, reasonably allocate asset portfolio, and for authorities to regulate risk.

Key words: AR-GJR-GARCH model, high-dimensional dynamic vine copula, portfolio risk of foreign exchange, VaR, UC back testing

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