Jump Regressions

dc.contributor.author

Tauchen, GE

dc.contributor.author

Li, J

dc.contributor.author

Todorov, V

dc.date.accessioned

2016-12-19T19:42:39Z

dc.date.issued

2017-01-01

dc.description.abstract

© 2017 The Econometric SocietyWe develop econometric tools for studying jump dependence of two processes from high-frequency observations on a fixed time interval. In this context, only segments of data around a few outlying observations are informative for the inference. We derive an asymptotically valid test for stability of a linear jump relation over regions of the jump size domain. The test has power against general forms of nonlinearity in the jump dependence as well as temporal instabilities. We further propose an efficient estimator for the linear jump regression model that is formed by optimally weighting the detected jumps with weights based on the diffusive volatility around the jump times. We derive the asymptotic limit of the estimator, a semiparametric lower efficiency bound for the linear jump regression, and show that our estimator attains the latter. The analysis covers both deterministic and random jump arrivals. In an empirical application, we use the developed inference techniques to test the temporal stability of market jump betas.

dc.identifier.eissn

1468-0262

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0012-9682

dc.identifier.uri

https://hdl.handle.net/10161/13285

dc.publisher

Econometric Society: Econometrica

dc.relation.ispartof

Econometrica

dc.relation.isversionof

10.3982/ECTA12962

dc.title

Jump Regressions

dc.type

Journal article

pubs.begin-page

173

pubs.end-page

195

pubs.issue

1

pubs.organisational-group

Duke

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Economics

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Trinity College of Arts & Sciences

pubs.publication-status

Published

pubs.volume

85

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