Multivariate realised kernels: consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading

Neil Shephard (), Ole Barndorff-Nielsen and Peter Hansen

No 397, Economics Series Working Papers from University of Oxford, Department of Economics

Abstract: We propose a multivariate realised kernel to estimate the ex-post covariation of log-prices. We show this new consistent estimator is guaranteed to be positive semi-definite and is robust to measurement noise of certain types and can also handle non-synchronous trading. It is the first estimator which has these three properties which are all essential for empirical work in this area.We derive the large sample asymptotics of this estimator and assess its accuracy using a Monte-Carlo study. We implement the estimator on some US equity data, comparing our results to previous work which has used returns measured over 5 or 10 minutes intervals. We show the new estimator is substantially more precise.

Keywords: HAC Estimator; Long Run Variance Estimator; Market Frictions; Quadratic Variation; Realised Variance (search for similar items in EconPapers)
Date: 2008-07-01
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Citations: View citations in EconPapers (29)

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Related works:
Journal Article: Multivariate realised kernels: Consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading (2011)
Working Paper: Multivariate realised kernels: Consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading (2011)
Working Paper: Multivariate Realised Kernels: Consistent Positive Semi-Definite Estimators of the Covariation of Equity Prices with Noise and Non-Synchronous Trading (2009)
Working Paper: Multivariate realised kernels: consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading (2008)
Working Paper: Multivariate realised kernels: consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading (2008)
Working Paper: Multivariate realised kernels: consistent positive semi-definite estimators of the covariation of equity prices with noise and non-synchronous trading (2008)
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