Impact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Levy Processes.

In order to assess the effect of jumps on realised variance calculations, we study some of the econometric properties of time-changed Levy processes. We show that in general realised variance is an inconsistent estimator of the time-change, however we can derive the second-order properties of realis...

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Những tác giả chính: Barndorff-Nielsen, O, Shephard, N
Định dạng: Journal article
Ngôn ngữ:English
Được phát hành: Elsevier 2006
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author Barndorff-Nielsen, O
Shephard, N
author_facet Barndorff-Nielsen, O
Shephard, N
author_sort Barndorff-Nielsen, O
collection OXFORD
description In order to assess the effect of jumps on realised variance calculations, we study some of the econometric properties of time-changed Levy processes. We show that in general realised variance is an inconsistent estimator of the time-change, however we can derive the second-order properties of realised variances and use these to estimate the parameters of such models. Our analytic results give a first indication of the degrees of inconsistency of realised variance as an estimator of the time-change in the non-Brownian case. Further, our results suggest volatility is even more predictable than has been shown by the recent econometric work on realised variance.
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spelling oxford-uuid:e4cec3f9-10bd-480c-a783-5002585db6db2022-03-27T10:19:17ZImpact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Levy Processes.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e4cec3f9-10bd-480c-a783-5002585db6dbEnglishDepartment of Economics - ePrintsElsevier2006Barndorff-Nielsen, OShephard, NIn order to assess the effect of jumps on realised variance calculations, we study some of the econometric properties of time-changed Levy processes. We show that in general realised variance is an inconsistent estimator of the time-change, however we can derive the second-order properties of realised variances and use these to estimate the parameters of such models. Our analytic results give a first indication of the degrees of inconsistency of realised variance as an estimator of the time-change in the non-Brownian case. Further, our results suggest volatility is even more predictable than has been shown by the recent econometric work on realised variance.
spellingShingle Barndorff-Nielsen, O
Shephard, N
Impact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Levy Processes.
title Impact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Levy Processes.
title_full Impact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Levy Processes.
title_fullStr Impact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Levy Processes.
title_full_unstemmed Impact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Levy Processes.
title_short Impact of Jumps on Returns and Realised Variances: Econometric Analysis of Time-Deformed Levy Processes.
title_sort impact of jumps on returns and realised variances econometric analysis of time deformed levy processes
work_keys_str_mv AT barndorffnielseno impactofjumpsonreturnsandrealisedvarianceseconometricanalysisoftimedeformedlevyprocesses
AT shephardn impactofjumpsonreturnsandrealisedvarianceseconometricanalysisoftimedeformedlevyprocesses