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Forecasting VaR and Expected Shortfall using Dynamical Systems: A Risk Management Strategy

Cyril Caillault and Dominique Guegan ()
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Cyril Caillault: Fortis Investments - Fortis investments
Dominique Guegan: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

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Abstract: Using non-parametric and parametric models, we show that the bivariate distribution of an Asian portfolio is not stable along all the period under study. We suggest several dynamic models to compute two market risk measures, the Value at Risk and the Expected Shortfall: the RiskMetrics methodology, the Multivariate GARCH models, the Multivariate Markov-Switching models, the empirical histogram and the dynamic copulas. We discuss the choice of the best method with respect to the policy management of bank supervisors. The copula approach seems to be a good compromise between all these models. It permits taking financial crises into account and obtaining a low capital requirement during the most important crises.

Keywords: Value at Risk; Expected Shortfall; Copulas; Risk management; GARCH models; Markov switching models (search for similar items in EconPapers)
Date: 2009-04
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00375765v1
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Citations: View citations in EconPapers (9)

Published in Frontiers in finance and economics, 2009, 6 (1), pp.26-50

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