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Likelihood‐Based Estimation of Latent Generalized ARCH Structures

Likelihood‐Based Estimation of Latent Generalized ARCH Structures GARCH models are commonly used as latent processes in econometrics, financial economics, and macroeconomics. Yet no exact likelihood analysis of these models has been provided so far. In this paper we outline the issues and suggest a Markov chain Monte Carlo algorithm which allows the calculation of a classical estimator via the simulated EM algorithm or a Bayesian solution in O(T) computational operations, where T denotes the sample size. We assess the performance of our proposed algorithm in the context of both artificial examples and an empirical application to 26 UK sectorial stock returns, and compare it to existing approximate solutions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Econometrica Wiley

Likelihood‐Based Estimation of Latent Generalized ARCH Structures

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References (87)

Publisher
Wiley
Copyright
Copyright © 2004 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0012-9682
eISSN
1468-0262
DOI
10.1111/j.1468-0262.2004.00541.x
Publisher site
See Article on Publisher Site

Abstract

GARCH models are commonly used as latent processes in econometrics, financial economics, and macroeconomics. Yet no exact likelihood analysis of these models has been provided so far. In this paper we outline the issues and suggest a Markov chain Monte Carlo algorithm which allows the calculation of a classical estimator via the simulated EM algorithm or a Bayesian solution in O(T) computational operations, where T denotes the sample size. We assess the performance of our proposed algorithm in the context of both artificial examples and an empirical application to 26 UK sectorial stock returns, and compare it to existing approximate solutions.

Journal

EconometricaWiley

Published: Sep 1, 2004

Keywords: ; ; ; ; ;

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