Alper Ozun
Market Risk Management, Is Bank of Turkey, Istanbul, Turkey
Atilla Cifter
Financial Reporting Vice President, Deniz Yatirim-Dex1a Group, Istanbul, Turkey
ABSTRACT
Model risk in the estimation of value-at-risk is a challenging threat for the success of any financial investments. The degree of the model risk increases when the estimation process is constructed with a portfolio in the emerging markets. The proper model should both provide flexible joint distributions by splitting the marginality from the dependencies among the financial assets within the portfolio and also capture the non-linear behaviours and extremes in the returns arising from the special features of the emerging markets. In this study, we use time-varying copula to estimate the value-at-risk of the portfolio comprised of the Bovespa and the IPC Mexico in equal and constant weights. The performance comparison of the copula model to the EWMA portfolio model made by the Christoffersen back-test shows that the copula model captures the extremes most successfully. The copula model, by estimating the portfolio value-at-risk with the least violation number in the back-tests, provides the investors to allocate the minimum regulatory capital requirement in accordance with the Basel II Accord.
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How to cite this article
Alper Ozun and Atilla Cifter, 2007. Portfolio Value-at-Risk with Time-Varying Copula: Evidence from Latin America. Journal of Applied Sciences, 7: 1916-1923.
DOI: 10.3923/jas.2007.1916.1923
URL: https://scialert.net/abstract/?doi=jas.2007.1916.1923
DOI: 10.3923/jas.2007.1916.1923
URL: https://scialert.net/abstract/?doi=jas.2007.1916.1923
REFERENCES
- Ang, A. and J. Chen, 2002. Asymmetric correlations of equity portfolios. J. Financial Econ., 63: 443-494.
Direct Link - Bauwens, L., S. Laurent and J.V.K. Rombouts, 2006. Multivariate GARCH models: A survey. J. Applied Econometr., 21: 79-109.
CrossRefDirect Link - Campbell, R.A., C.G. Koedijk and P. Kofman, 2002. Increased correlation in bear markets. Financial Anal. J., 58: 87-94.
Direct Link - Chen, X. and Y. Fan, 2006. Estimation and model selection of semiparametric copula-based multivariate dynamic models under copula misspecification. J. Econometr., 135: 125-154.
Direct Link - Dickey, D.A. and W.A. Fuller, 1981. Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica, 49: 1057-1072.
CrossRefDirect Link - Embrechts, P., A. Hoing and A. Juri, 2003. Using copulae to bound the value-at-risk for functions of dependent risks. Finance Stochast., 7: 145-167.
Direct Link - Embrechts, P., A. Hoing and G. Puchetti, 2005. Worst VaR scenarios. Insurance: Math. Econ., 37: 115-134.
Direct Link - Fortin, I. and C. Kuzmics, 2002. Tail dependence in stock return pairs. Int. J. Intell. Syst. Account. Finance Manage., 11: 89-107.
Direct Link - Goorbergh, R., W.J.C. Genest and B.J.M. Werker, 2005. Bivariate option pricing using dynamic copula models. Insurance, Math. Econ., 37: 101-114.
Direct Link - Jondea, U.E. and M. Rockinger, 2006. The copula-garch model of conditional dependencies: An international stock market application. J. Int. Money Finance, 25: 827-853.
Direct Link - Junker, M., A. Szimayer and N. Wagner, 2006. Nonlinear term structure dependence: Copula functions, empirics and risk implications. J. Bank. Finance, 30: 1171-1199.
Direct Link - Juri, A. and M.V. Wuthrichts, 2002. Copula convergence theorems for tail events. Insurance: Math. Econ., 30: 405-420.
Direct Link - Longin, F. and B. Solnik, 2001. Extreme correlation of international equity markets. J. Finance, 56: 649-676.
Direct Link - Meneguzzo, D. and W. Vecchiato, 2004. Copula sensitivity in collateralized debt obligations and basket default swaps. J. Future Markets, 1: 37-70.
Direct Link - Neslehova, J., P. Embrechts and C. Demoulin, 2006. Infinite-mean models and the LDA for operational risk. J. Operat. Risk, 1/1: 3-25.
Direct Link - Palaro, H. and L.K. Hotta, 2006. Using conditional copulas to estimate value at risk. J. Data Sci., 4: 93-115.
Direct Link - Patton, A., 2006. Modelling asymetric exchange rate dependence. Int. Econ. Rev., 47: 527-556.
Direct Link - Patton, A., 2006. Estimation of multivariate models for time series of possibly different lenghts. J. Applied Econometr., 21: 147-173.
Direct Link - Phillips, P.C.B. and P. Perron, 1988. Testing for a unit root in time series regression. Biometrika, 75: 335-346.
Direct Link - Poon, S.H., M. Rockinger and J. Tawn, 2004. Extreme value dependence in financial markets: Diagnostics, models and financial implications. Rev. Financial Stud., 17: 586-610.
Direct Link - Rockinger, M. and E. Jondeau, 2006. The Coplua-GARCH model of conditional dependencies: An international stock market application. J. Int. Money Finance, 25: 827-853.
Direct Link