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A residual-based cointegration test for near unit root variables

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  • Erik Hjalmarsson
  • Par Osterholm

Abstract

Methods of inference based on a unit root assumption in the data are typically not robust to even small deviations from this assumption. In this paper, we propose robust procedures for a residual-based test of cointegration when the data are generated by a near unit root process. A Bonferroni method is used to address the uncertainty regarding the exact degree of persistence in the process. We thus provide a method for valid inference in multivariate near unit root processes where standard cointegration tests may be subject to substantial size distortions and standard OLS inference may lead to spurious results. Empirical illustrations are given by: (i) a re-examination of the Fisher hypothesis, and (ii) a test of the validity of the cointegrating relationship between aggregate consumption, asset holdings, and labor income, which has attracted a great deal of attention in the recent finance literature.

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Bibliographic Info

Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series International Finance Discussion Papers with number 907.

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Date of creation: 2007
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Handle: RePEc:fip:fedgif:907

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Keywords: Cointegration;

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References

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  1. Martin D.D. Evans & Karen K. Lewis, 1993. "Do Expected Shifts in Inflation Affect Estimates of the Long-Run Fisher Relation?," Working Papers 93-06, New York University, Leonard N. Stern School of Business, Department of Economics.
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  3. Peter C.B. Phillips & Sam Ouliaris, 1987. "Asymptotic Properties of Residual Based Tests for Cointegration," Cowles Foundation Discussion Papers 847R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1988.
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  8. Peter C.B. Phillips, 1986. "Regression Theory for Near-Integrated Time Series," Cowles Foundation Discussion Papers 781R, Cowles Foundation for Research in Economics, Yale University, revised Jan 1987.
  9. Mishkin, Frederic S., 1992. "Is the Fisher effect for real? : A reexamination of the relationship between inflation and interest rates," Journal of Monetary Economics, Elsevier, vol. 30(2), pages 195-215, November.
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Citations

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Cited by:
  1. Felicitas Nowak-Lehmann D. & Inmaculada Martínez-Zarzoso & Dierk Herzer & Stephan Klasen & Axel Dreher, 2009. "In Search for a Long-run Relationship between Aid and Growth: Pitfalls and Findings," Ibero America Institute for Econ. Research (IAI) Discussion Papers 196, Ibero-America Institute for Economic Research.
  2. Meredith Beechey & Erik Hjalmarsson & Par Osterholm, 2008. "Testing the expectations hypothesis when interest rates are near integrated," International Finance Discussion Papers 953, Board of Governors of the Federal Reserve System (U.S.).

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