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A Component GARCH Model with Time Varying Weights Author info | Abstract | Publisher info | Download info | Related research | Statistics Luc, BAUWENS (UNIVERSITE CATHOLIQUE DE LOUVAIN, Department of Economics)
G., STORTI
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We present a novel GARCH model that accounts for time varying, state dependent, persistence in the volatility dynamics. The proposed model generalizes the component GARCH model of Ding and Granger (1996). The volatility is modelled as a convex combination of unobserved GARCH components where the combination weights are time varying as a function of appropriately chosen state variables. In order to make inference on the model parameters, we develop a Gibbs sampling algorithm. Adopting a fully Bayesian approach allows to easily obtain medium and long term predictions of relevant risk measures such as value at risk and expected shortfall. Finally we discuss the results of an application to a series of daily returns on the S&P500.
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Paper provided by Université catholique de Louvain, Département des Sciences Economiques in its series Discussion Papers (ECON - Département des Sciences Economiques) with number
2007012.
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Length: 32
Date of creation: 28 Mar 2007Date of revision:
Handle: RePEc:ctl:louvec:2007012Contact details of provider: Postal: Place Montesquieu 3, 1348 Louvain-la-Neuve (Belgium) Fax: +32 10473945 Email: Web page: http://www.uclouvain.be/econ More information through EDIRC
For technical questions regarding this item, or to correct its listing, contact: (Anne DAVISTER).
Keywords: Persistence ; Volatility components ; Value-at-risk ; Expected short-fall ; Other versions of this item:
Find related papers by JEL classification: C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Bayesian Analysis C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
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References listed on IDEAS 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.: Pascual, Lorenzo & Romo, Juan & Ruiz, Esther, 2006.
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Computational Statistics & Data Analysis ,
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[Downloadable!] (restricted)
Ding, Zhuanxin & Granger, Clive W. J., 1996.
"Modeling volatility persistence of speculative returns: A new approach ,"
Journal of Econometrics ,
Elsevier, vol. 73(1), pages 185-215, July.
[Downloadable!] (restricted)
Other versions: Lamoureux, Christopher G & Lastrapes, William D, 1990.
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Journal of Business & Economic Statistics ,
American Statistical Association, vol. 8(2), pages 225-34, April.
Thomas Mikosch & Catalin Starica, 2004.
"Non-stationarities in financial time series, the long range dependence and the IGARCH effects ,"
Econometrics
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[Downloadable!]
Luc Bauwens & Michel Lubrano, 1998.
"Bayesian inference on GARCH models using the Gibbs sampler ,"
Econometrics Journal ,
Royal Economic Society, vol. 1(Conferenc), pages C23-C46.
Other versions:
BAUWENSÊ, Luc & LUBRANOÊ, Michel, 1996.
"Bayesian Inference on GARCH Models using the Gibbs Sampler ,"
CORE Discussion Papers
1996027, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
Bauwens, L. & Lubrano, M., 1996.
"Bayesian Inference on GARCH Models Using the Gibbs Sampler ,"
G.R.E.Q.A.M.
96a21, Universite Aix-Marseille III.
Luc Bauwens & Sébastien Laurent, 2002.
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Computing in Economics and Finance 2002
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Other versions: Peter Christoffersen & Sílvia Gonçalves, 2004.
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CIRANO Working Papers
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[Downloadable!]
Luc, BAUWENS & Arie, PREMINGER & Jeroen, ROMBOUTS, 2006.
"Regime switching GARCH models ,"
Discussion Papers (ECON - Département des Sciences Economiques)
2006006, Université catholique de Louvain, Département des Sciences Economiques.
[Downloadable!]
Other versions:
BAUWENS, Luc & PREMINGER, Arie & ROMBOUTS, Jeroen, 2006.
"Regime switching GARCH models ,"
CORE Discussion Papers
2006011, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
[Downloadable!] Luc Bauwens & Arie Preminger & Jeroen V.K. Rombouts, 2006.
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Cahiers de recherche
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"Value-at-risk for long and short trading positions ,"
Journal of Applied Econometrics ,
John Wiley & Sons, Ltd., vol. 18(6), pages 641-663.
[Downloadable!]
Other versions: Baillie, Richard T. & Bollerslev, Tim, 1992.
"Prediction in dynamic models with time-dependent conditional variances ,"
Journal of Econometrics ,
Elsevier, vol. 52(1-2), pages 91-113.
[Downloadable!] (restricted)
Other versions: Berkowitz, Jeremy, 2001.
"Testing Density Forecasts, with Applications to Risk Management ,"
Journal of Business & Economic Statistics ,
American Statistical Association, vol. 19(4), pages 465-74, October.
Lamoureux, Christopher G & Lastrapes, William D, 1993.
"Forecasting Stock-Return Variance: Toward an Understanding of Stochastic Implied Volatilities ,"
Review of Financial Studies ,
Oxford University Press for Society for Financial Studies, vol. 6(2), pages 293-326.
[Downloadable!] (restricted)
Acerbi, Carlo & Tasche, Dirk, 2002.
"On the coherence of expected shortfall ,"
Journal of Banking & Finance ,
Elsevier, vol. 26(7), pages 1487-1503, July.
[Downloadable!] (restricted)
Paul H. Kupiec, 1995.
"Techniques for verifying the accuracy of risk measurement models ,"
Finance and Economics Discussion Series
95-24, Board of Governors of the Federal Reserve System (U.S.).
Markus Haas, 2004.
"A New Approach to Markov-Switching GARCH Models ,"
Journal of Financial Econometrics ,
Oxford University Press, vol. 2(4), pages 493-530.
[Downloadable!] (restricted)
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