Template-type: ReDIF-Paper 1.0 Author-Name:Ole E. Barndorff-Nielsen Author-Email: oebn@imf.au.dk Author-Workplace-Name: Center for Mathematical Physics and Stochastics (MaPhySto) Author-Name: Neil Shephard Author-Email: neil.shephard@nuf.ox.ac.uk Author-Homepage: http://www.nuff.ox.ac.uk/users/shephard/neilframe.htm Author-Workplace-Name: Nuffield College, Oxford Author-Workplace-Homepage: http://www.nuff.ox.ac.uk/economics/ Title: Integrated OU Processes Abstract: In this paper we study the detailed distributional properties of integrated non-Gaussian OU (intOU) processes. Both exact results and approximate results are given. We emphasise the study of the tail behaviour of the intOU process. Our results have many potential applications in financial economics, for OU processes are used as models of instantaneous volatility in stochastic volatility (SV) models. In this case an intOU process can be regarded as a model of integrated volatility. Hence the tail behaviour of the intOU process will determine the tail behaviour of returns generated by SV models. Keywords: Background driving Levy process; Chronometer; Co-break; Econometrics; Integrated volatility; Kumulant function; Levy density; Option pricing; OU processes; Stochastic volatility Length: 23 pages Creation-Date: 2001-05-31 Number: 2001-W1 File-URL: http://www.nuff.ox.ac.uk/Economics/papers/2001/w1/intou1.pdf File-Format: application/pdf Handle: RePEc:nuf:econwp:0101