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Likelihood-Based Cointegration Analysis in Panels of Vector Error Correction Models

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  • J.J.J. Groen
  • F. Kleibergen

Abstract

We propose in this paper a likelihood-based framework for cointegration analysis in panels of a fixed number of vector error correction models. Maximum likelihood estimators of the cointegrating vectors are constructed using iterated Generalized Method of Moments estimators. Using these estimators we construct likelihood ratio statistics to test for a common cointegration rank across the individual vector error correction models, both with heterogeneous and homogeneous cointegrating vectors. The corresponding limiting distributions are a summation of the limiting behavior of Johansen (1991) trace statistics. We also incorporate both unrestricted and restricted deterministic components which are either homogeneous or heterogeneous, and extend the asymptotic distribution theory to cover the case of an infinite cross-section dimension. The proposed framework is applied on a data set of exchange rates and appropriate monetary fundamentals. The test results show strong evidence for the validity of the monetary exchange rate model within a panel of vector error correction models for three major European countries, whereas the results based on individual vector error correction models for each of these countries separately are less supportive.

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Bibliographic Info

Paper provided by Netherlands Central Bank, Research Department in its series WO Research Memoranda (discontinued) with number 646.

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Date of creation: 2001
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Handle: RePEc:dnb:wormem:646

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Keywords: likelihood; GMM; cointegration; panels of vector error correction models; common cointegration rank; exchange rates;

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References

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  1. O'Connell, Paul G. J., 1998. "The overvaluation of purchasing power parity," Journal of International Economics, Elsevier, vol. 44(1), pages 1-19, February.
  2. Park, J.Y. & Ogaki, M., 1991. "Seemingly Unrelated Canonical Cointegrating Regressions," RCER Working Papers 280, University of Rochester - Center for Economic Research (RCER).
  3. Peter C.B. Phillips & Victor Solo, 1989. "Asymptotics for Linear Processes," Cowles Foundation Discussion Papers 932, Cowles Foundation for Research in Economics, Yale University.
  4. Park, Joon Y, 1992. "Canonical Cointegrating Regressions," Econometrica, Econometric Society, vol. 60(1), pages 119-43, January.
  5. Osterwald-Lenum, Michael, 1992. "A Note with Quantiles of the Asymptotic Distribution of the Maximum Likelihood Cointegration Rank Test Statistics," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 461-72, August.
  6. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  7. Pierre Perron & Robert J. Shiller, 1984. "Testing the Random Walk Hypothesis: Power Versus Frequency of Observation," Cowles Foundation Discussion Papers 732, Cowles Foundation for Research in Economics, Yale University.
  8. 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.
  9. Kleibergen, F.R. & Urbain, J-P. & Dijk, H.K. van, 1997. "Oil Price Shocks and Long Run Price and Import Demand Behavior," Econometric Institute Report EI 9709-/A, Erasmus University Rotterdam, Econometric Institute.
  10. Peter C.B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Cowles Foundation Discussion Papers 1222, Cowles Foundation for Research in Economics, Yale University.
  11. Peter C.B. Phillips, 1988. "Optimal Inference in Cointegrated Systems," Cowles Foundation Discussion Papers 866R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1989.
  12. Kao, Chihwa, 1999. "Spurious regression and residual-based tests for cointegration in panel data," Journal of Econometrics, Elsevier, vol. 90(1), pages 1-44, May.
  13. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  14. Papell, David H., 1997. "Searching for stationarity: Purchasing power parity under the current float," Journal of International Economics, Elsevier, vol. 43(3-4), pages 313-332, November.
  15. Jan J.J. Groen & Frank R. Kleibergen, 1999. "Likelihood-Based Cointegration Analysis in Panels of Vector Error Correction Models," Tinbergen Institute Discussion Papers 99-055/4, Tinbergen Institute.
  16. Larsson, Rolf & Lyhagen, Johan & Löthgren, Mickael, 1998. "Likelihood-Based Cointegration Tests in Heterogeneous Panels," Working Paper Series in Economics and Finance 250, Stockholm School of Economics, revised 27 Aug 1998.
  17. Groen, Jan J. J., 2000. "The monetary exchange rate model as a long-run phenomenon," Journal of International Economics, Elsevier, vol. 52(2), pages 299-319, December.
  18. Kleibergen, F., 1996. "Reduced Rank of Regression Using Generalized Method of Moments Estimators," Discussion Paper 1996-20, Tilburg University, Center for Economic Research.
  19. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-44, January.
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Citations

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Cited by:
  1. Tor Jacobson & Johan Lyhagen & Rolf Larsson & Marianne Nessén, 2002. "Inflation, Exchange Rates and PPP in a Multivariate Panel Cointegration Model," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 D4-2, International Conferences on Panel Data.
  2. Westerlund, Joakim & Edgerton, David, 2006. "Simple Tests for Cointegration in Dependent Panels with Structural Breaks," Working Papers 2006:13, Lund University, Department of Economics, revised 28 Jan 2007.
  3. António Afonso & Christophe Rault, 2007. "What We Really Know about Fiscal Sustainability in the EU? A Panel Data Diagnostic," Working Papers 2007/20, Department of Economics at the School of Economics and Management (ISEG), Technical University of Lisbon..
  4. Holly, Sean & Pesaran, M. Hashem & Yamagata, Takashi, 2010. "A spatio-temporal model of house prices in the USA," Journal of Econometrics, Elsevier, vol. 158(1), pages 160-173, September.
  5. Abdalrahman AbuDalu & Elsadig Musa Ahmed, 2013. "The long and short run forcing variables of purchasing power parity of ASEAN-5," E3 Journal of Business Management and Economics., E3 Journals, vol. 4(3), pages 066-081.
  6. Alain Hecq & Franz Palm & Jean-Pierre Urbain, 2000. "Testing for Common Cyclical Features in Nonstationary Panel Data Models," CESifo Working Paper Series 248, CESifo Group Munich.
  7. Michael McMahon & Gabriel Sterne & Jamie Thompson, 2005. "The role of ICT in the global investment cycle," Bank of England working papers 257, Bank of England.
  8. Martin Wagner & Georg Müller-Fürstenberger, 2004. "The Carbon Kuznets Curve: A Cloudy Picture Emitted by Bad Econometrics?," Diskussionsschriften dp0418, Universitaet Bern, Departement Volkswirtschaft.
  9. Piotr Kębłowski, 2011. "The Behaviour of Exchange Rates in the Central European Countries and Credit Default Risk Premiums," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 3(4), pages 221-236, December.
  10. Omar Neme Castillo & Ana Lilia Valderrama Santibáñez & Humberto Ríos Bolívar, 2013. "Comercio internacional, IED, capital humano e ingreso per cápita en América Latina y el Caribe," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(1), pages 101-139, May.
  11. Loría, Eduardo & Sánchez, Armando & Salgado, Uberto, 2010. "New evidence on the monetary approach of exchange rate determination in Mexico 1994-2007: A cointegrated SVAR model," Journal of International Money and Finance, Elsevier, vol. 29(3), pages 540-554, April.
  12. J.J.J. Groen, 2001. "(EURO) Exchange Rate Predictability and Monetary Fundamentals in a Small Multi-Country Panel," WO Research Memoranda (discontinued) 664, Netherlands Central Bank, Research Department.

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