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Subsampling hypothesis tests for nonstationary panels with applications to exchange rates and stock prices

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  • Timothy K. Chue

    (Department of Economics, Hong Kong University of Science and Technology, Hong Kong)

  • In Choi

    (Department of Economics, Hong Kong University of Science and Technology, Hong Kong)

Abstract

This paper studies subsampling hypothesis tests for panel data that may be nonstationary, cross-sectionally correlated, and cross-sectionally cointegrated. The subsampling approach provides approximations to the finite sample distributions of the tests without estimating nuisance parameters. The tests include panel unit root and cointegration tests as special cases. The number of cross-sectional units is assumed to be finite and that of time-series observations infinite. It is shown that subsampling provides asymptotic distributions that are equivalent to the asymptotic distributions of the panel tests. In addition, the tests using critical values from subsampling are shown to be consistent. The subsampling methods are applied to panel unit root tests. The panel unit root tests considered are Levin, Lin, and Chu's (2002) t-test; Im, Pesaran, and Shin's (2003) averaged t-test; and Choi's (2001) inverse normal test. Simulation results regarding the subsampling panel unit root tests and some existing unit root tests for cross-sectionally correlated panels are reported. In using the subsampling approach to examine the real exchange rates of the G7 countries and a group of 26 OECD countries, we find only mixed support for the purchasing power parity (PPP) hypothesis. We then examine a panel of 17 developed stock market indexes, and also find only mixed empirical support for them exhibiting relative mean reversion with respect to the US stock market index. Copyright © 2007 John Wiley & Sons, Ltd.

Suggested Citation

  • Timothy K. Chue & In Choi, 2007. "Subsampling hypothesis tests for nonstationary panels with applications to exchange rates and stock prices," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 233-264.
  • Handle: RePEc:jae:japmet:v:22:y:2007:i:2:p:233-264 DOI: 10.1002/jae.920
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    References listed on IDEAS

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    Cited by:

    1. Oliveira, Luís & Curto, José Dias & Nunes, João Pedro, 2012. "The determinants of sovereign credit spread changes in the Euro-zone," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 22(2), pages 278-304.
    2. In Choi, 2014. "Unit root tests for dependent and heterogeneous micropanels," Working Papers 1404, Research Institute for Market Economy, Sogang University.
    3. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    4. Pesaran, M. Hashem & Vanessa Smith, L. & Yamagata, Takashi, 2013. "Panel unit root tests in the presence of a multifactor error structure," Journal of Econometrics, Elsevier, vol. 175(2), pages 94-115.
    5. Benoit Perron & Hyungsik Roger Moon, 2007. "An empirical analysis of nonstationarity in a panel of interest rates with factors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 383-400.
    6. Cheng Hsiao, 2016. "Panel Macroeconometric Modeling," WISE Working Papers 2016-02-21, Wang Yanan Institute for Studies in Economics (WISE), Xiamen University.
    7. Lau, Marco Chi Keung & Fung, Ka Wai Terence, 2013. "Convergence in Health Care Expenditure of 14 EU Countries: New Evidence from Non-linear Panel Unit Root Test," MPRA Paper 52871, University Library of Munich, Germany.
    8. Xuguang Sheng & Jingyun Yang, 2013. "Truncated Product Methods for Panel Unit Root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(4), pages 624-636, August.
    9. Palm, Franz C. & Smeekes, Stephan & Urbain, Jean-Pierre, 2011. "Cross-sectional dependence robust block bootstrap panel unit root tests," Journal of Econometrics, Elsevier, vol. 163(1), pages 85-104, July.
    10. Berg, Arthur & McMurry, Timothy L. & Politis, Dimitris N., 2010. "Subsampling p-values," Statistics & Probability Letters, Elsevier, vol. 80(17-18), pages 1358-1364, September.
    11. Bodart, Vincent & Candelon, Bertrand & Carpantier, Jean-Francois, 2015. "Real exchanges rates, commodity prices and structural factors in developing countries," Journal of International Money and Finance, Elsevier, vol. 51(C), pages 264-284.
    12. Bodart, V. & Candelon, B. & Carpantier, J.-F., 2012. "Real exchanges rates in commodity producing countries: A reappraisal," Journal of International Money and Finance, Elsevier, vol. 31(6), pages 1482-1502.
    13. Lee, Chia-Hao & Chou, Pei-I, 2013. "The behavior of real exchange rate: Nonlinearity and breaks," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 125-133.
    14. Olalekan Bashir Aworinde, 2014. "Are Bilateral Real Exchange Rates Stationary? Empirical Evidence from Nigeria," Economics Bulletin, AccessEcon, vol. 34(1), pages 271-286.
    15. Declan French, 2012. "Causation between health and income: a need to panic," Empirical Economics, Springer, vol. 42(2), pages 583-601, April.
    16. Hadri, Kaddour & Kurozumi, Eiji, 2008. "A Simple Panel Stationarity Test in the Presence of Cross-Sectional Dependence," CCES Discussion Paper Series 7, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    17. Wu, Jyh-Lin & Lee, Hsiu-Yun, 2009. "A revisit to the non-linear mean reversion of real exchange rates: Evidence from a series-specific non-linear panel unit-root test," Journal of Macroeconomics, Elsevier, vol. 31(4), pages 591-601, December.
    18. He, Huizhen & Chou, Ming Che & Chang, Tsangyao, 2014. "Purchasing power parity for 15 Latin American countries: Panel SURKSS test with a Fourier function," Economic Modelling, Elsevier, vol. 36(C), pages 37-43.
    19. Kim, Jae H. & Ji, Philip Inyeob, 2011. "Mean-reversion in international real interest rates," Economic Modelling, Elsevier, vol. 28(4), pages 1959-1966, July.
    20. Orlando Lorduy Herrera, 2015. "La paridad del poder adquisitivo: nueva evidencia para Colombia y Latinoamérica," REVISTA CIFE, UNIVERSIDAD SANTO TOMÁS, February.
    21. Ji, Philip Inyeob, 2012. "Time-varying financial stress linkages: Evidence from the LIBOR-OIS spreads," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 22(4), pages 647-657.
    22. Apergis, Nicholas & Lau, Marco Chi Keung, 2015. "Structural breaks and electricity prices: Further evidence on the role of climate policy uncertainties in the Australian electricity market," Energy Economics, Elsevier, vol. 52(PA), pages 176-182.
    23. Chi Lau & Ka Fung & Lee Pugalis, 2014. "Is health care expenditure across Europe converging? Findings from the application of a nonlinear panel unit root test," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 4(2), pages 137-156, December.
    24. Cunado, J. & Gil-Alana, L.A. & Gracia, Fernando Perez de, 2010. "Mean reversion in stock market prices: New evidence based on bull and bear markets," Research in International Business and Finance, Elsevier, vol. 24(2), pages 113-122, June.

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