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A quasi-maximum likelihood approach for integrated covariance matrix estimation with high frequency data

Cheng Liu and Cheng Yong Tang

Journal of Econometrics, 2014, vol. 180, issue 2, 217-232

Abstract: Estimating the integrated covariance matrix (ICM) from high frequency financial trading data is crucial to reflect the volatilities and covariations of the underlying trading instruments. Such an objective is difficult due to contaminated data with microstructure noises, asynchronous trading records, and increasing data dimensionality. In this paper, we study a quasi-maximum likelihood (QML) approach for estimating an ICM from high frequency financial data. We explore a novel multivariate moving average time series device that is convenient for evaluating the estimator both theoretically for its asymptotic properties and numerically for its practical implementations. We demonstrate that the QML estimator is consistent to the ICM, and is asymptotically normally distributed. Efficiency gain of the QML approach is theoretically quantified, and numerically demonstrated via extensive simulation studies. An application of the QML approach is illustrated through analyzing a high frequency financial trading data set.

Keywords: High frequency data; Integrated covariance matrix; Microstructure noises; Quasi-maximum likelihood (search for similar items in EconPapers)
JEL-codes: C13 C22 C51 (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:180:y:2014:i:2:p:217-232

DOI: 10.1016/j.jeconom.2014.01.008

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Journal of Econometrics is currently edited by T. Amemiya, A. R. Gallant, J. F. Geweke, C. Hsiao and P. M. Robinson

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