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Efficient estimation of a multivariate multiplicative volatility model

Linton, Oliver and Hafner, Christian M. (2010) Efficient estimation of a multivariate multiplicative volatility model. Journal of Econometrics, 159 (1). pp. 55-73. ISSN 0304-4076

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Identification Number: 10.1016/j.jeconom.2010.04.007

Abstract

We propose a multivariate generalization of the multiplicative volatility model of Engle and Rangel (2008), which has a nonparametric long run component and a unit multivariate GARCH short run dynamic component. We suggest various kernel-based estimation procedures for the parametric and nonparametric components, and derive the asymptotic properties thereof. For the parametric part of the model, we obtain the semiparametric efficiency bound. Our method is applied to a bivariate stock index series. We find that the univariate model of Engle and Rangel (2008) appears to be violated in the data whereas our multivariate model is more consistent with the data.

Item Type: Article
Official URL: http://www.elsevier.com/wps/find/journaldescriptio...
Additional Information: © 2010 Elsevier B.V
Divisions: Economics
STICERD
Financial Markets Group
Subjects: H Social Sciences > H Social Sciences (General)
H Social Sciences > HA Statistics
Q Science > QA Mathematics
JEL classification: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C12 - Hypothesis Testing
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C13 - Estimation
C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods: General > C14 - Semiparametric and Nonparametric Methods
Date Deposited: 03 Nov 2010 15:44
Last Modified: 19 Nov 2024 17:03
URI: http://eprints.lse.ac.uk/id/eprint/29840

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