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Designing Realized Kernels to Measure the ex post Variation of Equity Prices in the Presence of Noise

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Author Info
Ole E. Barndorff-Nielsen
Peter Reinhard Hansen
Asger Lunde
Neil Shephard

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Abstract

This paper shows how to use realized kernels to carry out efficient feasible inference on the ex post variation of underlying equity prices in the presence of simple models of market frictions. The weights can be chosen to achieve the best possible rate of convergence and to have an asymptotic variance which equals that of the maximum likelihood estimator in the parametric version of this problem. Realized kernels can also be selected to (i) be analyzed using endogenously spaced data such as that in data bases on transactions, (ii) allow for market frictions which are endogenous, and (iii) allow for temporally dependent noise. The finite sample performance of our estimators is studied using simulation, while empirical work illustrates their use in practice. Copyright 2008 The Econometric Society.

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File URL: http://hdl.handle.net/10.3982/ECTA6495
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Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 76 (2008)
Issue (Month): 6 (November)
Pages: 1481-1536
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Handle: RePEc:ecm:emetrp:v:76:y:2008:i:6:p:1481-1536

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  3. Ole E. Barndorff-Nielsen & Neil Shephard, 2006. "Econometrics of Testing for Jumps in Financial Economics Using Bipower Variation," Journal of Financial Econometrics, Oxford University Press, vol. 4(1), pages 1-30. [Downloadable!] (restricted)
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