title: On the statistical properties of multiplicative GARCH models creator: Conrad, Christian creator: Kleen, Onno subject: 330 subject: 330 Economics description: We examine the statistical properties of multiplicative GARCH models. First, we show that in multiplicative models, returns have higher kurtosis and squared returns have a more persistent autocorrelation function than in the nested GARCH model. Second, we extend the results of Andersen and Bollerslev (1998) on the upper bound of the R2 in a Mincer-Zarnowitz regression to the case of a multiplicative GARCH model, using squared returns as a proxy for the true but unobservable conditional variance. Our theoretical results imply that multiplicative GARCH models provide an explanation for stylized facts that cannot be captured by classical GARCH modeling. date: 2016-03 type: Working paper type: info:eu-repo/semantics/workingPaper type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/20486/1/conrad_kleen_2016_dp613.pdf identifier: DOI:10.11588/heidok.00020486 identifier: urn:nbn:de:bsz:16-heidok-204866 identifier: Conrad, Christian ; Kleen, Onno (2016) On the statistical properties of multiplicative GARCH models. [Working paper] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/20486/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng