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Testing for a Unit Root in a Process Exhibiting a Structural Break in the Presence of GARCH Errors

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  • Brooks, Chris
  • Rew, Alistair G

Abstract

This paper considers the effect of GARCH errors on the tests proposed by Perron (1997) for a unit root in the presence of a structural break. We assess the impact of degeneracy and integratedness of the conditional variance individually and find that, apart from in the limit, the testing procedure is insensitive to the degree of degeneracy but does exhibit an increasing over-sizing as the process becomes more integrated. When we consider the GARCH specifications that we are likely to encounter in empirical research, we find that the Perron tests are reasonably robust to the presence of GARCH and do not suffer from severe over- or under-rejection of a correct null hypothesis. Copyright 2002 by Kluwer Academic Publishers

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  • Brooks, Chris & Rew, Alistair G, 2002. "Testing for a Unit Root in a Process Exhibiting a Structural Break in the Presence of GARCH Errors," Computational Economics, Springer;Society for Computational Economics, vol. 20(3), pages 157-176, December.
    • Handle: RePEc:kap:compec:v:20:y:2002:i:3:p:157-76
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    Cited by:

    1. Naqvi, Bushra & Mirza, Nawazish & Umar, Muhammad & Rizvi, Syed Kumail Abbas, 2023. "Shanghai crude oil futures: Returns Independence, volatility asymmetry, and hedging potential," Energy Economics, Elsevier, vol. 128(C).
    2. Steven Cook, 2009. "A re-examination of the stationarity of inflation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(6), pages 1047-1053.
    3. Rashmi Chaudhary & Priti Bakhshi & Hemendra Gupta, 2020. "Volatility in International Stock Markets: An Empirical Study during COVID-19," JRFM, MDPI, vol. 13(9), pages 1-17, September.
    4. Maaz Khan & Umar Nawaz Kayani & Mrestyal Khan & Khurrum Shahzad Mughal & Mohammad Haseeb, 2023. "COVID-19 Pandemic & Financial Market Volatility; Evidence from GARCH Models," JRFM, MDPI, vol. 16(1), pages 1-20, January.
    5. Adriana AnaMaria Davidescu & Eduard Mihai Manta & Oana Mihaela Vacaru (Boita) & Mihaela Gruiescu & Razvan Gabriel Hapau & Paul Laurentiu Baranga, 2023. "Has the COVID-19 Pandemic Led to a Switch in the Volatility of Biopharmaceutical Companies?," Mathematics, MDPI, vol. 11(14), pages 1-24, July.
    6. Cook, Steven, 2008. "Joint maximum likelihood estimation of unit root testing equations and GARCH processes: Some finite-sample issues," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 109-116.
    7. Ghoshray, Atanu & Johnson, Ben, 2010. "Trends in world energy prices," Energy Economics, Elsevier, vol. 32(5), pages 1147-1156, September.
    8. Sen, Amit, 2009. "Unit root tests in the presence of an innovation variance break that has power against the mean break stationary alternative," Statistics & Probability Letters, Elsevier, vol. 79(3), pages 354-360, February.

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