Template-type: ReDIF-Paper 1.0 Author-Name: Diaa Noureldin Author-Email: diaa.noureldin@economics.ox.ac.uk Author-Workplace-Name: Dept of Economics and Oxford-Man Institute of Quantitative Finance, University of Oxford Author-Name: Neil Shephard Author-Email: neil.shephard@economics.ox.ac.uk Author-Workplace-Name: Dept of Economics and Oxford-Man Institute of Quantitative Finance, University of Oxford. Author-Name: Kevin Sheppard Author-Email: kevin.sheppard@economics.ox.ac.uk Author-Workplace-Name: Dept of Economics and Oxford-Man Institute of Quantitative Finance, University of Oxford. Title: Multivariate High-Frequency-Based Volatility (HEAVY) Models Abstract: This paper introduces a new class of multivariate volatility models that utilizes high-frequency data. We discuss the models dynamics and highlight their di¤erences from multivariate GARCH models. We also discuss their covariance targeting specification and provide closed-form formulas for multi-step forecasts. Estimation and inference strategies are outlined. Empirical results suggest that the HEAVY model outperforms the multivariate GARCH model out-of-sample, with the gains being particularly significant at short forecast horizons. Forecast gains are ob- tained for both forecast variances and correlations. Keywords: HEAVY model; GARCH; multivariate volatility; realized covariance; covariance targeting; multi-step forecasting; Wishart distribution. Classification-JEL: C32; C52; C58. Length: 41 pages Creation-Date: 2011-02-18 Number: 2011-W01 File-URL: http://www.nuffield.ox.ac.uk/economics/papers/2011/w1/Heavy_18022011.pdf File-Format: application/pdf Handle: RePEc:nuf:econwp:1101