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Analytic Score for Multivariate GARCH Models

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Author Info
Riccardo LUCCHETTI () (Universita' Politecnica delle Marche, Dipartimento di Economia)

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Abstract

Multivariate GARCH models constitute the workhorse of empirical applications in several elds, a notable example being nancial econometrics. Unfortunately, ML (or quasi-ML) estimation of such models, although relatively straightforward in theory, is often made dicult by the fact that available software relies on numerical methods for computing the rst derivatives of the log-likelihood; the fact that these models often include several dozens of parameters makes it impractical to estimate even medium-sized models. In this paper, closed-form expressions for the score of the BEKK model of Engle and Kroner (1995) are obtained, and strategies for ecient computation are discussed.

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File URL: http://dea2.univpm.it/quaderni/pdf/119.pdf
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File Function: First version, 1999
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Publisher Info
Paper provided by Universita' Politecnica delle Marche (I), Dipartimento di Economia in its series Working Papers with number 119.

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Date of creation: Oct 1999
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Handle: RePEc:anc:wpaper:119

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  1. Christian Hafner & Helmut Herwartz, 2008. "Analytical quasi maximum likelihood inference in multivariate volatility models," Metrika, Springer, vol. 67(2), pages 219-239, March. [Downloadable!] (restricted)
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  2. Lucchetti, Riccardo & Palomba, Giulio, 2008. "Nonlinear Adjustment in US Bond Yields: an Empirical Analysis with Conditional Heteroskedasticity," MPRA Paper 11571, University Library of Munich, Germany. [Downloadable!]
  3. Sébastien Laurent & Luc Bauwens & Jeroen V. K. Rombouts, 2006. "Multivariate GARCH models: a survey," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(1), pages 79-109. [Downloadable!]
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