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Panel Unit Root Tests in the Presence of a Multifactor Error Structure

Author

Listed:
  • Pesaran, M. Hashem

    (University of Cambridge)

  • Smith, L. Vanessa

    (University of Cambridge)

  • Yamagata, Takashi

    (University of York)

Abstract

This paper extends the cross sectionally augmented panel unit root test proposed by Pesaran (2007) to the case of a multifactor error structure. The basic idea is to exploit information regarding the unobserved factors that are shared by other time series in addition to the variable under consideration. Importantly, our test procedure only requires specification of the maximum number of factors, in contrast to other panel unit root tests based on principal components that require in addition the estimation of the number of factors as well as the factors themselves. Small sample properties of the proposed test are investigated by Monte Carlo experiments, which suggest that it controls well for size in almost all cases, especially in the presence of serial correlation in the error term, contrary to alternative test statistics. Empirical applications to Fisher's inflation parity and real equity prices across different markets illustrate how the proposed test works in practice.

Suggested Citation

  • Pesaran, M. Hashem & Smith, L. Vanessa & Yamagata, Takashi, 2007. "Panel Unit Root Tests in the Presence of a Multifactor Error Structure," IZA Discussion Papers 3254, Institute of Labor Economics (IZA).
  • Handle: RePEc:iza:izadps:dp3254
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    More about this item

    Keywords

    real equity prices; multi-factor residual structure; cross section dependence; panel unit root tests; Fisher inflation parity;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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