On loss functions and ranking forecasting performances of multivariate volatility models

The ranking of multivariate volatility models is inherently problematic because when the unobservable volatility is substituted by a proxy, the ordering implied by a loss function may be biased with respect to the intended one. We point out that the size of the distortion is strictly tied to the lev...

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Veröffentlicht in:Journal of econometrics 2013-03, Vol.173 (1), p.1-10
Hauptverfasser: Laurent, Sébastien, Rombouts, Jeroen V.K., Violante, Francesco
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creator Laurent, Sébastien
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Violante, Francesco
description The ranking of multivariate volatility models is inherently problematic because when the unobservable volatility is substituted by a proxy, the ordering implied by a loss function may be biased with respect to the intended one. We point out that the size of the distortion is strictly tied to the level of the accuracy of the volatility proxy. We propose a generalized necessary and sufficient functional form for a class of non-metric distance measures of the Bregman type which ensure consistency of the ordering when the target is observed with noise. An application to three foreign exchange rates is provided.
doi_str_mv 10.1016/j.jeconom.2012.08.004
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subjects Economic forecasting
Foreign exchange rates
Loss function
Matrix norm
Model confidence set
Multivariate analysis
Multivariate GARCH
Studies
Volatility
title On loss functions and ranking forecasting performances of multivariate volatility models
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