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Estimating risk of foreign exchange portfolio: Using VaR and CVaR based on GARCH–EVT-Copula model

Author

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  • Wang, Zong-Run
  • Chen, Xiao-Hong
  • Jin, Yan-Bo
  • Zhou, Yan-Ju

Abstract

This paper introduces GARCH–EVT-Copula model and applies it to study the risk of foreign exchange portfolio. Multivariate Copulas, including Gaussian, t and Clayton ones, were used to describe a portfolio risk structure, and to extend the analysis from a bivariate to an n-dimensional asset allocation problem. We apply this methodology to study the returns of a portfolio of four major foreign currencies in China, including USD, EUR, JPY and HKD. Our results suggest that the optimal investment allocations are similar across different Copulas and confidence levels. In addition, we find that the optimal investment concentrates on the USD investment. Generally speaking, t Copula and Clayton Copula better portray the correlation structure of multiple assets than Normal Copula.

Suggested Citation

  • Wang, Zong-Run & Chen, Xiao-Hong & Jin, Yan-Bo & Zhou, Yan-Ju, 2010. "Estimating risk of foreign exchange portfolio: Using VaR and CVaR based on GARCH–EVT-Copula model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4918-4928.
  • Handle: RePEc:eee:phsmap:v:389:y:2010:i:21:p:4918-4928
    DOI: 10.1016/j.physa.2010.07.012
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    References listed on IDEAS

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    1. Zongrun Wang & Weitao Wu & Chao Chen & Yanju Zhou, 2010. "The exchange rate risk of Chinese yuan: Using VaR and ES based on extreme value theory," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(2), pages 265-282.
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    8. Geman, Hélyette & Kharoubi, Cécile, 2008. "WTI crude oil Futures in portfolio diversification: The time-to-maturity effect," Journal of Banking & Finance, Elsevier, vol. 32(12), pages 2553-2559, December.
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    1. repec:eee:intfor:v:34:y:2018:i:3:p:497-506 is not listed on IDEAS
    2. repec:eee:quaeco:v:64:y:2017:i:c:p:275-291 is not listed on IDEAS
    3. Lee, Sangwook & Kim, Min Jae & Kim, Soo Yong, 2011. "Interest rates factor model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2531-2548.
    4. Aloui, Chaker & Jammazi, Rania, 2015. "Dependence and risk assessment for oil prices and exchange rate portfolios: A wavelet based approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 62-86.
    5. Lahmiri, Salim, 2017. "Asymmetric and persistent responses in price volatility of fertilizers through stable and unstable periods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 405-414.
    6. Wei, Yu, 2012. "Forecasting volatility of fuel oil futures in China: GARCH-type, SV or realized volatility models?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5546-5556.

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