TESTING FOR UNIT ROOTS IN THE PRESENCE OF A POSSIBLE BREAK IN TREND AND NONSTATIONARY VOLATILITY

Giuseppe Cavaliere, David Harvey, Stephen Leybourne () and Robert Taylor

Econometric Theory, 2011, vol. 27, issue 5, 957-991

Abstract: We analyze the impact of nonstationary volatility on the break fraction estimator and associated trend break unit root tests of Harris, Harvey, Leybourne, and Taylor (2009) (HHLT). We show that although HHLT’s break fraction estimator retains the same large-sample properties as demonstrated by HHLT for homoskedastic shocks, the limiting null distributions of unit root statistics based around this estimator are not pivotal under nonstationary volatility. A solution to the identified inference problem, which does not require the practitioner to specify a parametric model for volatility, is provided using the wild bootstrap and is shown to perform well in practice.

Date: 2011
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Related works:
Working Paper: Testing for unit roots in the presence of a possible break in trend and non-stationary volatility (2009)
Working Paper: Testing for Unit Roots in the Presence of a Possible Break in Trend and Non-Stationary Volatility (2008)
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Persistent link: https://EconPapers.repec.org/RePEc:cup:etheor:v:27:y:2011:i:05:p:957-991_00

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