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Cointegration and Error Correction Mechanisms

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Author Info
Hylleberg, Svend
Mizon, Grayham E

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Abstract

Starting from a multivariate Wold representation for N variables that are integrated of order 1, this paper shows that, given that the N variables have r cointegrating vectors, there is an equivalence between five alternative representations of the multivariate model: the autoregressive representation; the error-correction representation; the interim multiplier representation; the Bewley (1979) representation; and the common trend representation. Proof of the theorem uses a result based on the Smith-McMillan lemma for polynomial matrices. The paper concludes by commenting on the different representations. Copyright 1989 by Royal Economic Society.

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Article provided by Royal Economic Society in its journal The Economic Journal.

Volume (Year): 99 (1989)
Issue (Month): 395 (Supplement)
Pages: 113-25
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Handle: RePEc:ecj:econjl:v:99:y:1989:i:395:p:113-25

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  1. Jérôme Henry & Jens Weidmann, 1995. "Asymmetry in the EMS revisited: Evidence from the Causality Analysis of Daily Eurorates," Annales d'Economie et de Statistique, ADRES, issue 40, pages 08, Octobre-D. [Downloadable!]
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  2. Su Zhou, 1998. "Exchange rate systems and linkages in the pacific basin," Atlantic Economic Journal, International Atlantic Economic Society, vol. 26(1), pages 66-84, March. [Downloadable!] (restricted)
  3. John Pippenger, 1991. "Forward rates as predictors of future spot rates in small open economies: The case of Kuwait," Open Economies Review, Springer, vol. 2(2), pages 183-201, June. [Downloadable!] (restricted)
  4. Neil R. Ericsson, 1991. "Cointegration, exogeneity, and policy analysis: an overview," International Finance Discussion Papers 415, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
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  5. Lyhagen, Johan, 1998. "Maximum likelihood estimation of the multivariate fractional cointegrating model," Working Paper Series in Economics and Finance 233, Stockholm School of Economics. [Downloadable!]
  6. Uwe Hassler & Jürgen Wolters, 2006. "Autoregressive distributed lag models and cointegration," AStA Advances in Statistical Analysis, Springer, vol. 90(1), pages 59-74, March. [Downloadable!] (restricted)
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  7. Heejoon Kang, 1999. "The Applied Cointegration Analysis for the Open Economy: A Critical Review," Open Economies Review, Springer, vol. 10(3), pages 325-346, July. [Downloadable!] (restricted)
  8. Rahman, Mizanur, 2008. "The Impact of a Common Currency on East Asian Production Networks and China’s Exports Behavior," MPRA Paper 13931, University Library of Munich, Germany. [Downloadable!]
  9. Anthony Garratt & Gary Koop & Emi Mise & Shaun P Vahey, 2007. "Real-time Prediction with UK Monetary Aggregates in the Presence of Model Uncertainty," Birkbeck Working Papers in Economics and Finance 0714, Birkbeck, Department of Economics, Mathematics & Statistics. [Downloadable!]
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  10. Alexius, Annika & Carlsson, Mikael, 2002. "Measures of Technology and the Business Cycle," Working Paper Series 2002:10, Uppsala University, Department of Economics, revised 02 Mar 2006. [Downloadable!]
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  11. Alexius, Annika & Carlsson, Mikael, 2001. "Measures of Technology and the Business Cycle: Evidence from Sweden and the U.S," Working Paper Series 174, Trade Union Institute for Economic Research. [Downloadable!]
  12. James H. Stock & Mark W. Watson, 1989. "A Simple MLE of Cointegrating Vectors in Higher Order Integrated Systems," NBER Technical Working Papers 0083, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  13. van Tol, Michel R & Wolff, Christian C, 2005. "Forecasting the Spot Exchange Rate with the Term Structure of Forward Premia: Multivariate Threshold Cointegration," CEPR Discussion Papers 4958, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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