MGARCH models: Trade-off between feasibility and flexibility

By D. Almeida, Luiz Koodi Hotta, Esther Ruiz. 2018

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The parameters of popular multivariate GARCH (MGARCH) models are restricted so that their estimation is feasible in large systems and covariance stationarity and positive definiteness of conditional covariance matrices are guaranteed. These restrictions limit the dynamics that the models can represent, assuming, for example, that volatilities evolve in an univariate fashion, not being related neither among them nor with the correlations. This paper updates previous surveyson parametric MGARCH models focusing on their limitations to represent the dynamics observed in real systems of financial returns. The conclusions are illustrated using simulated data and a five-dimensional system of exchange rate returns.

Subfields: Economics and Econometrics, Finance

View Paper: https://www.semanticscholar.org/paper/3a8c887d7e45adc5ea9c1279ad7bc467143412fe