TY - GEN ID - heidok20486 UR - https://archiv.ub.uni-heidelberg.de/volltextserver/20486/ T3 - Discussion Paper Series, University of Heidelberg, Department of Economics Y1 - 2016/03// EP - 10 TI - On the statistical properties of multiplicative GARCH models AV - public CY - Heidelberg KW - Forecast evaluation KW - GARCH-MIDAS KW - Mincer-Zarnowitz regression KW - volatility persistence KW - volatility component model KW - long-term volatility. A1 - Conrad, Christian A1 - Kleen, Onno N2 - 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. ER -