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Efficient estimation of a multivariate multiplicative volatility model

  • Christian M. Hafner

    ()

    (Université catholique de Louvain - Université Catholique de Louvain)

  • Oliver Linton

    ()

    (Department of Economics - London School of Economics)

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.

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Paper provided by HAL in its series Post-Print with number peer-00732539.

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Date of creation: 15 Sep 2010
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Publication status: Published, Journal of Econometrics, 2010, 159, 1, 55
Handle: RePEc:hal:journl:peer-00732539
Note: View the original document on HAL open archive server: http://peer.ccsd.cnrs.fr/peer-00732539
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