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Micro versus Macro Cointegration in Heterogeneous Panels

Author

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  • Lorenzo Trapani
  • Giovanni Urga

Abstract

We consider the issue of cross-sectional aggregation in nonstationary and heterogeneous panels where each unit cointegrates. We derive asymptotic properties of the aggregate estimate, and necessary and sufficient conditions for cointegration to hold in the aggregate relationship. We then analyze the case when cointegration does not carry through the aggregation process, and we investigate whether the violation of the formal conditions for perfect aggregation can still lead to an aggregate equation that is observationally equivalent to a cointegrated relationship. We derive a measure of the degree of noncointegration of the aggregate relationship and we explore its asymptotic properties. We propose a valid bootstrap approximation of the test. A Monte Carlo exercise evaluates size and power properties of the bootstrap test.

Suggested Citation

  • Lorenzo Trapani & Giovanni Urga, 2007. "Micro versus Macro Cointegration in Heterogeneous Panels," Working Papers 0711, Department of Management, Information and Production Engineering, University of Bergamo.
    • Handle: RePEc:brh:wpaper:0711
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    File URL: http://hdl.handle.net/10446/416
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    Cited by:

    1. Syed Abul Basher & Elsayed Mousa Elsamadisy, 2012. "Country heterogeneity and long-run determinants of inflation in the Gulf Arab states," OPEC Energy Review, Organization of the Petroleum Exporting Countries, vol. 36(2), pages 170-203, June.
    2. Pesaran, M. Hashem & Chudik, Alexander, 2014. "Aggregation in large dynamic panels," Journal of Econometrics, Elsevier, vol. 178(P2), pages 273-285.
    3. Stephan Smeekes & Jean-Pierre Urbain, 2014. "On the Applicability of the Sieve Bootstrap in Time Series Panels," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 76(1), pages 139-151, February.
    4. Dario Fauceglia & Anirudh Shingal & Martin Wermelinger, 2014. "Natural Hedging of Exchange Rate Risk: The Role of Imported Input Prices," Swiss Journal of Economics and Statistics (SJES), Swiss Society of Economics and Statistics (SSES), vol. 150(IV), pages 261-296, December.

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    Keywords

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    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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