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A NOTE ON GENERALIZING THE CONCEPT OF COINTEGRATION

Published online by Cambridge University Press:  30 July 2014

Stephen G. Hall ,
P.A.V.B. Swamy  and
George S. Tavlas
Stephen G. Hall
Affiliation:
Leicester University, Bank of Greece and Pretoria University
P.A.V.B. Swamy
Affiliation:
Federal Reserve Board (Retired)
George S. Tavlas*
Affiliation:
Bank of Greece
*
Address correspondence to: George S. Tavlas, Monetary Policy Council, Bank of Greece, 21 El. Venizelos Ave., 102 50 Athens, Greece; e-mail: gtavlas@bankofgreece.gr.
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Abstract

Building on the time-varying-coefficient (TVC) model, we propose a generalization of the concept of cointegration, allowing for the possibility that a set of variables measured with error entails a nonlinear relationship with unknown functional form. Both the dependent and explanatory variables of this relationship may be nonstationary (not necessarily of unit-root type), but there exists a nonlinear combination of all these explanatory variables that completely explains all the variation in the dependent variable. The TVC model allows us to test for the presence of this generalized cointegration in the absence of knowledge of the true nonlinear functional form and the full set of explanatory variables. We present the basic stages of the technique and discuss in detail how the issues of nonstationarity and cointegration affect each stage of the TVC estimation procedure.

Keywords

Generalized CointegrationTime-Varying-Coefficient Model
Type
Notes
Information
Macroeconomic Dynamics , Volume 19 , Issue 7 , October 2015 , pp. 1633 - 1646
Copyright
Copyright © Cambridge University Press 2014 

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