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Value-at-Risk Prediction: A Comparison of Alternative Strategies

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Author Info
Keith Kuester
Stefan Mittnik
Marc S. Paolella
Abstract

Given the growing need for managing financial risk, risk prediction plays an increasing role in banking and finance. In this study we compare the out-of-sample performance of existing methods and some new models for predicting value-at-risk (VaR) in a univariate context. Using more than 30 years of the daily return data on the NASDAQ Composite Index, we find that most approaches perform inadequately, although several models are acceptable under current regulatory assessment rules for model adequacy. A hybrid method, combining a heavy-tailed generalized autoregressive conditionally heteroskedastic (GARCH) filter with an extreme value theory-based approach, performs best overall, closely followed by a variant on a filtered historical simulation, and a new model based on heteroskedastic mixture distributions. Conditional autoregressive VaR (CAViaR) models perform inadequately, though an extension to a particular CAViaR model is shown to outperform the others. Copyright 2006, Oxford University Press.

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File URL: http://hdl.handle.net/10.1093/jjfinec/nbj002
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Publisher Info
Article provided by Oxford University Press in its journal Journal of Financial Econometrics.

Volume (Year): 4 (2006)
Issue (Month): 1 ()
Pages: 53-89
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Handle: RePEc:oup:jfinec:v:4:y:2006:i:1:p:53-89

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  1. Christian T. Brownlees & Giampiero Gallo, 2008. "Comparison of Volatility Measures: a Risk Management Perspective," Econometrics Working Papers Archive wp2008_03, Universita' degli Studi di Firenze, Dipartimento di Statistica "G. Parenti". [Downloadable!]
  2. Andrew J. Patton & Kevin Sheppard, 2008. "Evaluating Volatility and Correlation Forecasts," OFRC Working Papers Series 2008fe22, Oxford Financial Research Centre. [Downloadable!]
  3. Timotheos Angelidis & Stavros Degiannakis, 2007. "Backtesting VaR Models: An Expected Shortfall Approach," Working Papers 0701, University of Crete, Department of Economics. [Downloadable!]
  4. Davide Ferrari & Sandra Paterlini, 2007. "The Maximum Lq-Likelihood Method: an Application to Extreme Quantile Estimation in Finance," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 07071, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi". [Downloadable!]
  5. Markus Haas, 2007. "Volatility Components and Long Memory-Effects Revisited," Studies in Nonlinear Dynamics & Econometrics, Berkeley Electronic Press, vol. 11(2), pages 1411-1411. [Downloadable!] (restricted)
  6. Juan Carlos Escanciano & Jose Olmo, 2007. "Estimation Risk Effects on Backtesting For Parametric Value-at-Risk Models," Caepr Working Papers 2007-005, Center for Applied Economics and Policy Research, Economics Department, Indiana University Bloomington. [Downloadable!]
    Other versions:
  7. Kulp-Tåg, Sofie, 2007. "An Empirical Investigation of Value-at-Risk in Long and Short Trading Positions," Working Papers 526, Swedish School of Economics and Business Administration. [Downloadable!]
  8. Ivana Komunjer, 2007. "Asymmetric power distribution: Theory and applications to risk measurement," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(5), pages 891-921. [Downloadable!]
  9. Boudt, Kris & Peterson, Brian & Croux, Christophe, 2007. "Estimation and decomposition of downside risk for portfolios with non-normal returns," MPRA Paper 5427, University Library of Munich, Germany, revised 23 Oct 2007. [Downloadable!]
  10. Stanislav Anatolyev, 2006. "Dynamic modeling under linear-exponential loss," Working Papers w0092, Center for Economic and Financial Research (CEFIR). [Downloadable!]
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