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Designing realized kernels to measure the ex post variation of equity prices in the presence of noise. / Barndorff-Nielsen, Ole Eiler; Hansen, P.R.; Lunde, Asger; Shephard, N.
I: Econometrica, Bind 76, Nr. 6, 2008, s. 1481-1536.Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › peer review
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TY - JOUR
T1 - Designing realized kernels to measure the ex post variation of equity prices in the presence of noise
AU - Barndorff-Nielsen, Ole Eiler
AU - Hansen, P.R.
AU - Lunde, Asger
AU - Shephard, N.
PY - 2008
Y1 - 2008
N2 - 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.
AB - 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.
U2 - 10.3982/ECTA6495
DO - 10.3982/ECTA6495
M3 - Journal article
VL - 76
SP - 1481
EP - 1536
JO - Econometrica
JF - Econometrica
SN - 0012-9682
IS - 6
ER -