Template-type: ReDIF-Paper 1.0 Author-Name: Ole E. Barndorff-Nielsen Author-Email: oebn@mi.aau.dk Author-Workplace-Name:The Centre for Mathematical Physics and Stochastics (MaPhySto), University of Aarhus Author-Name: Neil Shephard Author-Email: neil.shephard@nuffield.ox.ac.uk Author-Homepage: http://www.nuff.ox.ac.uk/users/shephard/ Author-Workplace-Name:Nuffield College, Oxford Author-Workplace-Homepage:http://www.nuff.ox.ac.uk/ Title:Realised power variation and stochastic volatility models Abstract: Limit distribution results on realised power variation, that is sums of absolute powers of increments of a process, are derived for certain types of semimartingale with continuous local martingale component, in particular for a class of flexible stochastic volatility models. The theory cover, for example, the cases of realised volatility and realised absolute variation. Such results should be helpful in, for example, the analysis of volatility models using high frequency information. Keywords: Absolute returns; Mixed asymptotic normality; Realised volatility; p-variation; Quadratic variation; Semimartingale. Length:23 pages Creation-Date: 2001-10-03 Number:2001-W18 File-URL:http://www.nuff.ox.ac.uk/Economics/papers/2001/w18/rth_order.pdf File-Format: application/pdf Handle: RePEc:nuf:econwp:0118