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Estimating Long-Run Relationships between Observed Integrated Variables by Unobserved Component Methods

  • G. EVERAERT

    ()

A regression including integrated variables yields spurious results if the residuals contain a unit root. Although the obtained estimates are unreliable, this does not automatically imply that there is no long-run relation between the included variables as the unit root in the residuals may be induced by omitted or unobserved integrated variables. This paper uses an unobserved component model to estimate the partial long-run relation between observed integrated variables. This provides an alternative to standard cointegration analysis. The proposed methodology is described using a Monte Carlo simulation and applied to investigate purchasing-power parity.

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File URL: http://wps-feb.ugent.be/Papers/wp_07_452.pdf
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Paper provided by Ghent University, Faculty of Economics and Business Administration in its series Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium with number 07/452.

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Length: 26 pages
Date of creation: Jan 2007
Date of revision:
Handle: RePEc:rug:rugwps:07/452
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Web page: http://www.ugent.be/eb

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  1. Leybourne, S J & McCabe, B P M, 1994. "A Simple Test for Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 56(1), pages 97-103, February.
  2. repec:cup:etheor:v:10:y:1994:i:1:p:95-115 is not listed on IDEAS
  3. Engel, C., 1996. "Long-Run PPP May Not Hold After All," Discussion Papers in Economics at the University of Washington 96-05, Department of Economics at the University of Washington.
  4. James G. MacKinnon, 1995. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Working Papers 918, Queen's University, Department of Economics.
  5. Alan M. Taylor, 2002. "A Century Of Purchasing-Power Parity," The Review of Economics and Statistics, MIT Press, vol. 84(1), pages 139-150, February.
  6. Harvey, A C, et al, 1986. "Stochastic Trends in Dynamic Regression Models: An Application to the Employment-Output Equations," Economic Journal, Royal Economic Society, vol. 96(384), pages 975-85, December.
  7. James Morley & Charles Nelson & Eric Zivot, 2002. "Why Are Beveridge-Nelson and Unobserved-Component Decompositions of GDP So Different?," Working Papers UWEC-2002-01, University of Washington, Department of Economics.
  8. Inder, Brett, 1993. "Estimating long-run relationships in economics : A comparison of different approaches," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 53-68.
  9. Durbin, James & Koopman, Siem Jan, 2001. "Time Series Analysis by State Space Methods," OUP Catalogue, Oxford University Press, number 9780198523543, March.
  10. Neil R. Ericsson & James G. MacKinnon, 1999. "Distributions of error correction tests for cointegration," International Finance Discussion Papers 655, Board of Governors of the Federal Reserve System (U.S.).
  11. James C. Morley, 2007. "The Slow Adjustment of Aggregate Consumption to Permanent Income," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 39(2-3), pages 615-638, 03.
  12. Banerjee, Anindya, et al, 1986. "Exploring Equilibrium Relationships in Econometrics through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 253-77, August.
  13. Nicholas Sarantis & Chris Stewart, 2001. "Unobserved components in an error-correction model of consumption for Southern European countries," Empirical Economics, Springer, vol. 26(2), pages 391-405.
  14. Pagan, Adrian, 1980. "Some identification and estimation results for regression models with stochastically varying coefficients," Journal of Econometrics, Elsevier, vol. 13(3), pages 341-363, August.
  15. Adler, Michael & Lehmann, Bruce, 1983. " Deviations from Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 38(5), pages 1471-87, December.
  16. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  17. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-56, September.
  18. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
  19. Kim, Yoonbai, 1990. "Purchasing Power Parity in the Long Run: A Cointegration Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 22(4), pages 491-503, November.
  20. James C. Morley & Charles R. Nelson & Eric Zivot, 2003. "Why Are the Beveridge-Nelson and Unobserved-Components Decompositions of GDP So Different?," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 235-243, May.
  21. Glen, Jack D., 1992. "Real exchange rates in the short, medium, and long run," Journal of International Economics, Elsevier, vol. 33(1-2), pages 147-166, August.
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  23. Zivot, E., 1994. "Single Equation Conditional Error Correction Model Based Tests for Cointegration," Working Papers 94-12, University of Washington, Department of Economics.
  24. Jeremy Rudd & Karl Whelan, 2006. "Empirical Proxies for the Consumption-Wealth Ratio," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 34-51, January.
  25. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
  26. Kwiatkowski, D. & Phillips, P.C.B. & Schmidt, P., 1990. "Testing the Null Hypothesis of Stationarity Against the Alternative of Unit Root : How Sure are we that Economic Time Series have a Unit Root?," Papers 8905, Michigan State - Econometrics and Economic Theory.
  27. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(01), pages 1-21, March.
  28. repec:cup:etheor:v:7:y:1991:i:1:p:1-21 is not listed on IDEAS
  29. Kremers, Jeroen J M & Ericsson, Neil R & Dolado, Juan J, 1992. "The Power of Cointegration Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 325-48, August.
  30. Corbae, Dean & Ouliaris, Sam, 1988. "Cointegration and Tests of Purchasing Power Parity," The Review of Economics and Statistics, MIT Press, vol. 70(3), pages 508-11, August.
  31. Zivot, E., 1994. "Single Equation Conditional Error Correction Model Based Tests for Cointegration," Discussion Papers in Economics at the University of Washington 94-12, Department of Economics at the University of Washington.
  32. Phillips, Peter C B & Hansen, Bruce E, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," Review of Economic Studies, Wiley Blackwell, vol. 57(1), pages 99-125, January.
  33. 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.
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