Template-type: ReDIF-Paper 1.0 Author-Name: Ole E. Barndorff-Nielsen Author-Email: oebn@imf.au.dk Author-Workplace-Name: Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, DK-8000 Aarhus C, Denmark Author-Name: Neil Shephard Author-Email: neil.shephard@economics.ox.ac.uk Author-Workplace-Name: Nuffield College, Oxford Author-Name: Matthias Winkel Author-Email: winkel@stats.ox.ac.uk Author-Workplace-Name: Department of Statistics, University of Oxford, 1 South Parks Road, Oxford, OX1 3TG, U.K. Title: Limit theorems for multipower variation in the presence of jumps Abstract: In this paper we provide a systematic study of the robustness of probability limits and central limit theory for realised multipower variation when we add finite activity and infinite activity jump processes to an underlying Brownian semimartingale. X-Classification-JEL: Keywords: Bipower variation, Infinite activity, Multipower variation, Power variation, Quadratic variation, Semimartingales, Stochastic volatility Length: 29 pages Creation-Date: 2005-02-25 Number: 2005-W07 File-URL: http://www.nuffield.ox.ac.uk/economics/papers/2005/w7/winkel06.pdf File-Format: application/pdf Handle: RePEc:nuf:econwp:0507