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Portfolio Value-at-Risk with Time-Varying Copula: Evidence from the Americas

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Author Info
Ozun, Alper
Cifter, Atilla

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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 paper, 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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Publisher Info
Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 2711.

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Date of creation: 10 Apr 2007
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Handle: RePEc:pra:mprapa:2711

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Related research
Keywords: Time-varying Copula portfolio value-at-risk Latin American equity markets portfolio GARCH

Find related papers by JEL classification:
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods
G1 - Financial Economics - - General Financial Markets
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Jondeau, Eric & Rockinger, Michael, 2006. "The Copula-GARCH model of conditional dependencies: An international stock market application," Journal of International Money and Finance, Elsevier, vol. 25(5), pages 827-853, August. [Downloadable!] (restricted)
  2. Embrechts, Paul & Hoing, Andrea & Puccetti, Giovanni, 2005. "Worst VaR scenarios," Insurance: Mathematics and Economics, Elsevier, vol. 37(1), pages 115-134, August. [Downloadable!] (restricted)
  3. Kevin Dowd, 2004. "FOMC Forecasts of Macroeconomic Risks," Occasional Papers 12, Industrial Economics Division, revised 10 Jan 2004. [Downloadable!]
  4. Christoffersen, Peter F, 1998. "Evaluating Interval Forecasts," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(4), pages 841-62, November.
  5. Joshua V. Rosenberg, 2003. "Nonparametric pricing of multivariate contingent claims," Staff Reports 162, Federal Reserve Bank of New York. [Downloadable!]
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