On loss functions and ranking forecasting performances of multivariate volatility models

Laurent, Sébastien;Rombouts, Jeroen V.K.;Violante, Francesco
(2013) Journal of Econometrics — Vol. 173, n° 1, p. 1-10 (2013)

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Authors
  • Laurent, SébastienUCLouvain
    Author
  • Rombouts, Jeroen V.K.ESSEC Business School
    Author
  • Violante, FrancescoUCLouvain
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Abstract
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. © 2012 Elsevier B.V. All rights reserved.
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Laurent, S., Rombouts, J. V. K., & Violante, F. (2013). On loss functions and ranking forecasting performances of multivariate volatility models. Journal of Econometrics, 173(1), 1-10. https://doi.org/10.1016/j.jeconom.2012.08.004 (Original work published 2013)