eprintid: 18010 rev_number: 19 eprint_status: archive userid: 2744 dir: disk0/00/01/80/10 datestamp: 2015-01-19 07:52:09 lastmod: 2015-04-22 08:22:29 status_changed: 2015-01-19 07:52:09 type: workingPaper metadata_visibility: show creators_name: Conrad, Christian creators_name: Mammen , Enno title: Asymptotics for parametric GARCH-in-Mean Models subjects: ddc-330 divisions: i-181000 keywords: GARCH-in-Mean, stochastic recurrence equations, risk-return relationship abstract: In this paper we develop an asymptotic theory for the parametric GARCH-in-Mean model. The asymptotics is based on a study of the volatility as a process of the model parameters. The proof makes use of stochastic recurrence equations for this random function and uses exponential inequalities to localize the problem. Our results show why the asymptotics for this speciļ¬cation is quite complex although it is a rather standard parametric model. Nevertheless, our theory does not yet treat all standard speciļ¬cations of the mean function. date: 2015-01 id_scheme: DOI id_number: 10.11588/heidok.00018010 schriftenreihe_cluster_id: sr-3 schriftenreihe_order: 0579 ppn_swb: 1654740977 own_urn: urn:nbn:de:bsz:16-heidok-180103 language: eng bibsort: CONRADCHRIASYMPTOTIC201501 full_text_status: public series: Discussion Paper Series, University of Heidelberg, Department of Economics volume: 0579 place_of_pub: Heidelberg pages: 21 citation: Conrad, Christian ; Mammen , Enno (2015) Asymptotics for parametric GARCH-in-Mean Models. [Working paper] document_url: https://archiv.ub.uni-heidelberg.de/volltextserver/18010/1/Conrad_Mammen_2015_dp579.pdf