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Conditional autoregressive valu at risk by regression quantile: Estimatingmarket risk for major stock markets

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Author Info
George Kouretas () (Department of Economics, University of Crete, Greece)
Leonidas Zarangas (Department of Finance and Auditing, Technological Educational Institute of Epirus, Greece)
Abstract

This paper employs a new approach due to Engle and Manganelli (2004) in order to examine market risk in several major equity markets, as well as for major companies listed in New York Stock Exchange and Athens Stock Exchange. By interpreting the VaR as the quantile of future portfolio values conditional on current information, Engle and Manganelli (2004) propose a new approach to quantile estimation that does not require any of the extreme assumptions of the existing methodologies, mainly normality and i.i.d. returns. The CAViaR model shifts the focus of attention from the distribution of returns directly to the behaviour of the quantile. We provide a comparative evaluation of the predictive performance of four alternative CAViaR specifications, namely Adaptive, Symmetric Absolute Value, Asymmetric Slope and Indirect GARCH(1,1) models. The main findings of the present analysis is that we are able to confirm some stylized facts of financial data such as volatility clustering while the Dynamic Quantile criterion selects different models for different confidence intervals for the case of the five general indices, the US companies and the Greek companies respectively.

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Publisher Info
Paper provided by University of Crete, Department of Economics in its series Working Papers with number 0521.

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Length: 46 pages
Date of creation: 00 Nov 2005
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Handle: RePEc:crt:wpaper:0521

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Related research
Keywords: Non-linear Regression Quantile Value-at-Risk Risk Management

Find related papers by JEL classification:
C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Other Model Applications
G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Mortgages
G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

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  1. Bekiros, Stelios D. & Georgoutsos, Dimitris A., 2005. "Estimation of Value-at-Risk by extreme value and conventional methods: a comparative evaluation of their predictive performance," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 15(3), pages 209-228, July. [Downloadable!] (restricted)
  2. G. William Schwert, 1990. "Why Does Stock Market Volatility Change Over Time?," NBER Working Papers 2798, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  3. repec:cup:etheor:v:12:y:1996:i:5:p:793-813 is not listed on IDEAS
  4. Singh, A. & Weisse, B. A., 1998. "Emerging Stock Markets, Portfolio Capital Flows and Long-term Economic Growth: Micro and Macroeconomic Perspectives," Accounting and Finance Discussion Papers 98-af40, Faculty of Economics, University of Cambridge.
    Other versions:
  5. Jón Daníelsson & Casper G. de Vries, 1998. "Value-at-Risk and Extreme Returns," Tinbergen Institute Discussion Papers 98-017/2, Tinbergen Institute. [Downloadable!]
  6. Koenker, Roger & Bassett, Gilbert, Jr, 1982. "Robust Tests for Heteroscedasticity Based on Regression Quantiles," Econometrica, Econometric Society, vol. 50(1), pages 43-61, January. [Downloadable!] (restricted)
  7. Simone Manganelli & Robert F. Engle, 2001. "Value at risk models in finance," Working Paper Series 075, European Central Bank. [Downloadable!]
  8. John Drzik, 2005. "New Directions in Risk Management," Journal of Financial Econometrics, Oxford University Press, vol. 3(1), pages 26-36. [Downloadable!] (restricted)
  9. 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.
  10. Granger, C. W. J. & White, Halbert & Kamstra, Mark, 1989. "Interval forecasting : An analysis based upon ARCH-quantile estimators," Journal of Econometrics, Elsevier, vol. 40(1), pages 87-96, January. [Downloadable!] (restricted)
  11. Bams, Dennis & Lehnert, Thorsten & Wolff, Christian C.P., 2005. "An evaluation framework for alternative VaR-models," Journal of International Money and Finance, Elsevier, vol. 24(6), pages 944-958, October. [Downloadable!] (restricted)
  12. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January. [Downloadable!] (restricted)
  13. Brooks, C. & Clare, A.D. & Dalle Molle, J.W. & Persand, G., 2005. "A comparison of extreme value theory approaches for determining value at risk," Journal of Empirical Finance, Elsevier, vol. 12(2), pages 339-352, March. [Downloadable!] (restricted)
  14. Robert Engle, 2002. "New frontiers for arch models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(5), pages 425-446. [Downloadable!]
  15. Carol Alexander, 2005. "The Present and Future of Financial Risk Management," Journal of Financial Econometrics, Oxford University Press, vol. 3(1), pages 3-25. [Downloadable!] (restricted)
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