English, Article, Journal or magazine article edition: Multivariate realised kernels: consistent positive semin-definite estimators of the covariation of equity prices with noise and non-synchronous trading Ole E. Barndorff-Nielsen; Peter Reinhard Hansen; Asger Lunde; ...

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Bookmark: http://trove.nla.gov.au/version/20890
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Multivariate realised kernels: consistent positive semin-definite estimators of the covariation of equity prices with noise and non-synchronous trading
Author
  • Ole E. Barndorff-Nielsen
  • Peter Reinhard Hansen
  • Asger Lunde
  • Neil Shephard
Physical Description
  • preprint
Notes
  • 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.
  • HAC Estimator, Long Run Variance Estimator, Market Frictions, Quadratic Variation, Realised Variance
  • RePEc:oxf:wpaper:397
Language
  • English
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