This paper deals with error correction models (ECM's) and cointegrated systems that are formulated in continuous time. Problems of representation, identification, estimation and time aggregation are discussed. It is shown that every ECM in continuous time has a discrete time equivalent model in ECM format. Moreover, both models may be written as triangular systems with stationary errors. This formulation simplifies both the continuous and the discrete time ECM representations and it helps to motivate a class of optimal inference procedures. It is further shown that long run equilibria in the continuous system are always identified in the discrete time reduced form, so that there is no aliasing problem for these coefficients.
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Length: 40 pages Date of creation: 1988 Date of revision:
Jul 1989 Publication status: Published in Econometrica (July 1991), 59(4): 967-980 Handle: RePEc:cwl:cwldpp:882r
Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
Nathan S. Balke & Thomas B. Fomby, 1992.
"Threshold cointegration,"
Research Paper
9209, Federal Reserve Bank of Dallas.
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Other versions:
Balke, Nathan S & Fomby, Thomas B, 1997.
"Threshold Cointegration,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-45, August.