Abstract
This paper introduces GARCH-EVT-Copula model and applies it to study the portfolio risk of exchange rates. Multivariate Copulas including Gaussian Copula, t Copula and Clayton Copula were used to describe the structure and extend the analysis from bivariate to any n-dimension. We apply this methodology to study the returns of a portfolio of four major foreign currencies in China. Our results suggest that the optimal investment allocations are similar across different Copula and confidence levels and the optimal investment concentrates in the USD investment. Generally speaking, t Copula and Clayton Copula can better portray the correlation structure of multiple assets than Normal Copula.
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References
Frey, R., McNeil, A.J.: Estimation of tail-related risk measures for heteroscedastic financial time series: an extreme value approach. Journal of Empirical Finance 7, 271–300 (2000)
Bystrom, H.N.E.: Managing extreme risks in tranquil and volatile markets using conditional extreme value theory. International Review of Financial Analysis 13, 133–152 (2004)
Malay, B., Gopal, R.: Conditional VaR using EVT- Towards a planned margin scheme. International Review of Financial Analysis 17, 382–395 (2008)
Xiao, Z., Fu, X.X., Zhang, B.: Dynamic VaR Risk Measures Based on EVT-POT-FIGARCH. Nankai management review 11(4), 100–104 (2008) (in Chinese)
Patton, A.J.: Modelling time-varying exchange rate dependence using the conditional Copula. Working Paper of London School of Economics & Political Science (2001)
Patton, A.J.: Modeling asymmetric exchange rate dependence. International Economic Review 2(47), 527–556 (2006)
Tursunalieva, A., Silvapulle, P.: Assessing and modeling the changes in dependence between exchange rates. Working Paper of Monash University (2007)
Wu, Z.X., Ye, W.Y.: Risk Analysis of Foreign Exchange Markets by Copula. Chinese management science 4, 1–5 (2004) (in Chinese)
Sun, L.J., Bai, M.Y.: The Research of Optimal Archimdean Copula Based Exchange Rate Correlation. Data Analyses 3(2), 91–102 (2008)
Wang, Z.R., Chen, C.: The exchange rate risk of Chinese yuan: using VaR and ES based on extreme value theory. Journal of Applied Statistics 37(2), 265–282 (2010)
Eric, J., Micheal, R.: Copula-GARCH model of Conditional Dependency of Financial Series: the Copula-GARCH Model. Working Paper (2002)
Eric, J., Micheal, R.: The Copula-GARCH model of Conditional Dependency: An international stock market application. Journal of International Money and Finance 25, 827–853 (2006)
Lee, T.H., Long, X.D.: Copula-based multivariate GARCH model with uncorrelated dependent errors. Journal of Econometrics 150, 207–218 (2009)
Wu, Z.X., Chen, M., Ye, W.Y.: Risk Analysis of Portfolio by Copula-GARCH. Journal of Systems Engineering Theory and Practice 2(8), 45–52 (2006) (in Chinese)
Coles, S.: An Introduction to Statistical Modeling of Extreme Values. Series in Statistics, New York (2001)
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Wang, Z., Jin, Y., Zhou, Y. (2010). Estimating Portfolio Risk Using GARCH-EVT-Copula Model: An Empirical Study on Exchange Rate Market. In: Zeng, Z., Wang, J. (eds) Advances in Neural Network Research and Applications. Lecture Notes in Electrical Engineering, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12990-2_8
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DOI: https://doi.org/10.1007/978-3-642-12990-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12989-6
Online ISBN: 978-3-642-12990-2
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