← Search

Econometrica Vol. 76 No. 6 2008

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

Ole E. Barndorff-Nielsen1; Peter Reinhard Hansen2; Asger Lunde1; Neil Shephard3

1 Aarhus University · 2 Stanford University · 3 University of Oxford

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.

DOI
10.3982/ecta6495
Volume
76
Issue
6
Pages
1481-1536
Language
en
Sources
bibtex:phds-export.bib crossref openalex

Cite