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Flexible Fourier form for volatility breaks

Flexible Fourier form for volatility breaks AbstractThis paper proposes a class of models: TRIARCH/TRIGARCH models that account for structural breaks in conditional variance using a variant of the flexible Fourier form. Based on the new model, three likelihood multiplier tests are proposed for the null hypotheses of (1) homoskedasticity in the presence of unknown structural breaks; (2) no structural changes in conditional variance; and (3) Integrated GARCH effect. The in-sample fit and out-of-sample forecasts of the TRIGARCH model and GARCH model are compared by simulations. We apply the new models to the SP500 returns. Our finding indicates level shifts in variance, and therefore, the almost integration indicated by the GARCH(1,1) model may be spurious. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Studies in Nonlinear Dynamics & Econometrics de Gruyter

Flexible Fourier form for volatility breaks

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References (43)

Publisher
de Gruyter
Copyright
©2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1558-3708
eISSN
1558-3708
DOI
10.1515/snde-2016-0039
Publisher site
See Article on Publisher Site

Abstract

AbstractThis paper proposes a class of models: TRIARCH/TRIGARCH models that account for structural breaks in conditional variance using a variant of the flexible Fourier form. Based on the new model, three likelihood multiplier tests are proposed for the null hypotheses of (1) homoskedasticity in the presence of unknown structural breaks; (2) no structural changes in conditional variance; and (3) Integrated GARCH effect. The in-sample fit and out-of-sample forecasts of the TRIGARCH model and GARCH model are compared by simulations. We apply the new models to the SP500 returns. Our finding indicates level shifts in variance, and therefore, the almost integration indicated by the GARCH(1,1) model may be spurious.

Journal

Studies in Nonlinear Dynamics & Econometricsde Gruyter

Published: Feb 23, 2018

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