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Journal of Financial Economics Vol. 39 No. 1 1995

All in the family Nesting symmetric and asymmetric GARCH models

Ludger Hentschel

University of Rochester

open access

Abstract

This paper develops a parametric family of models of generalized autoregressive heteroskedasticity (GARCH). The family nests the most popular symmetric and asymmetric GARCH models, thereby highlighting the relation between the models and their treatment of asymmetry. Furthermore, the structure permits nested tests of different types of asymmetry and functional forms. Daily U.S. stock return data reject all standard GARCH models in favor of a model in which, roughly speaking, the conditional standard deviation depends on the shifted absolute value of the shocks raised to the power three halves and past standard deviations.

DOI
10.1016/0304-405x(94)00821-h
Volume
39
Issue
1
Pages
71-104
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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