Abstract

http://ssrn.com/abstract=2045571
 


 



Econometric Analysis of Multivariate Realised QML: Estimation of the Covariation of Equity Prices under Asynchronous Trading


Neil Shephard


University of Oxford - Oxford-Man Institute; University of Oxford - Nuffield College; University of Oxford - Oxford Financial Research Centre

Dacheng Xiu


University of Chicago - Booth School of Business

April 19, 2014

Chicago Booth Research Paper No. 12-14

Abstract:     
Estimating the covariance between assets using high frequency data is challenging due to market microstructure effects and asynchronous trading. In this paper we develop a multivariate realized quasi-likelihood (QML) approach, carrying out inference as if the observations arise from an asynchronously observed vector scaled Brownian model observed with error. Under stochastic volatility the resulting realised QML estimator is positive semi-definite, uses all available data, is consistent and asymptotically mixed normal. The quasi-likelihood is computed using a Kalman filter and optimized using a relatively simple EM algorithm which scales well with the number of assets. We derive the theoretical properties of the estimator and prove that it achieves the efficient rate of convergence. The estimator is also analysed using Monte Carlo methods and applied to equity data with varying levels of liquidity.

Number of Pages in PDF File: 45

Keywords: EM algorithm, Kalman filter, market microstructure noise, non-synchronous data, quasi-likelihood, semimartingale

JEL Classification: C01, C14, C58, D53, D81

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Date posted: April 26, 2012 ; Last revised: April 21, 2014

Suggested Citation

Shephard, Neil and Xiu, Dacheng, Econometric Analysis of Multivariate Realised QML: Estimation of the Covariation of Equity Prices under Asynchronous Trading (April 19, 2014). Chicago Booth Research Paper No. 12-14. Available at SSRN: http://ssrn.com/abstract=2045571 or http://dx.doi.org/10.2139/ssrn.2045571

Contact Information

Neil Shephard
University of Oxford - Oxford-Man Institute ( email )
Eagle House
Walton Well Road
Oxford, Oxfordshire OX2 6ED
United Kingdom
44 1865 616600 (Phone)
44 1865 616601 (Fax)
HOME PAGE: http://www.oxford-man.ox.ac.uk
University of Oxford - Nuffield College ( email )
New Road
Oxford, OX1 1NF
United Kingdom
44 1865 278593 (Phone)
44 1865 278500 (Fax)
University of Oxford - Oxford Financial Research Centre ( email )
Oxford
United Kingdom
HOME PAGE: http://www.finance.ox.ac.uk
Dacheng Xiu (Contact Author)
University of Chicago - Booth School of Business ( email )
5807 S. Woodlawn Avenue
Chicago, IL 60637
United States
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