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Bounds Testing Approaches to the Analysis of Long-run Relationships

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  • Pesaran, M. Hashem
  • Shin, Y.
  • Smith, R.J.

Abstract

This paper This paper develops a new approach to the problem of testing the existence of a long-run level relationship between a dependent variable and a set of regressors, when it is not known with certainty whether the underlying regressors are trend- or first-difference stationary. The proposed tests are based on standard F- and t-statistics used to test the significance of the lagged levels of the variables in a first-difference regression. Two sets of asymptotic critical values are provided: one set assuming that all the regressors are I(1) and another set assuming they are all I(0). These two sets of critical values provide a band covering all possible classifications of the regressors into I(0), I(1) or mutually cointegrated. Accordingly, various bounds testing procedures are proposed. The empirical relevance of the bounds procedures is demonstrated by a re-examination of the earnings equation included in the UK Treasury macro-econometric model. This is a particularly relevant application as there is considerable doubt concerning the order of integration of variables such as the unemployment rate, union strength and the wedge between the real product wage' and the real consumption wage' that enter the earnings equation

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Bibliographic Info

Paper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 9907.

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Date of creation: Feb 1999
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Handle: RePEc:cam:camdae:9907

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Web page: http://www.econ.cam.ac.uk/index.htm

Related research

Keywords: Long-run relationship; Unrestricted error correction model; Cointegration; Unit roots; Bounds tests;

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References

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  1. Urbain, J-P., 1991. "On Weak Exogeneity in Error Correction Models," Papers 9103, Liege - Centre de Recherches Economiques et Demographiques.
  2. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-93, January.
  3. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-72, June.
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  8. Shin, Yongcheol, 1994. "A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration," Econometric Theory, Cambridge University Press, vol. 10(01), pages 91-115, March.
  9. Olivier J. Blanchard & Lawrence H. Summers, 1986. "Hysteresis And The European Unemployment Problem," NBER Chapters, in: NBER Macroeconomics Annual 1986, Volume 1, pages 15-90 National Bureau of Economic Research, Inc.
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  13. Johansen, Soren, 1992. "Cointegration in partial systems and the efficiency of single-equation analysis," Journal of Econometrics, Elsevier, vol. 52(3), pages 389-402, June.
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  15. repec:cup:etheor:v:11:y:1995:i:5:p:1131-47 is not listed on IDEAS
  16. Pesaran, M. H. & Shin, Y. & Smith, R. J., 1997. "Structural Analysis of Vector Error Correction Models with Exogenous I(1) Variables," Cambridge Working Papers in Economics 9706, Faculty of Economics, University of Cambridge.
  17. Cavanagh, Christopher L. & Elliott, Graham & Stock, James H., 1995. "Inference in Models with Nearly Integrated Regressors," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1131-1147, October.
  18. Hendry, David F. & Pagan, Adrian R. & Sargan, J.Denis, 1984. "Dynamic specification," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 18, pages 1023-1100 Elsevier.
  19. Julia Darby & Simon Wren-Lewis, 1993. "Is There a Cointegrating Vector for UK Wages?," Journal of Economic Studies, Emerald Group Publishing, vol. 20(1/2), pages 87-115, January.
  20. Boswijk, H. Peter, 1995. "Efficient inference on cointegration parameters in structural error correction models," Journal of Econometrics, Elsevier, vol. 69(1), pages 133-158, September.
  21. Pesaran, M.H. & Shin, Y., 1995. "An Autoregressive Distributed Lag Modelling Approach to Cointegration Analysis," Cambridge Working Papers in Economics 9514, Faculty of Economics, University of Cambridge.
  22. repec:cup:etheor:v:11:y:1995:i:3:p:530-36 is not listed on IDEAS
  23. repec:cup:etheor:v:10:y:1994:i:1:p:95-115 is not listed on IDEAS
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