A Multivariate Long-Memory Model with Structural Breaks

29 Pages Posted: 18 Apr 2007

See all articles by Guglielmo Maria Caporale

Guglielmo Maria Caporale

Brunel University London - Department of Economics and Finance; London South Bank University; CESifo (Center for Economic Studies and Ifo Institute); German Institute for Economic Research (DIW Berlin)

Luis A. Gil-Alana

University of Navarra - Department of Economics

Date Written: March 2007

Abstract

This paper introduces a multivariate long-memory model with structural breaks. In the proposed framework, time series exhibit possibly fractional orders of integration which are allowed to be different in each subsample. The break date is endogenously determined using a procedure which minimises the residual sum of squares (RSS). Monte Carlo experiments show that this method for detecting breaks performs well in large samples. As an illustration, we estimate a trivariate VAR including prices, employment and GDP in both the US and Mexico. For the subsample preceding the break our findings are similar to those of earlier studies based on a standard VAR approach in both countries, in the sense that the variables exhibit integer degrees of integration. On the contrary, the series are found to be fractionally integrated after the break, with the fractional differencing parameters being higher than 1 in the case of Mexico.

Keywords: multivariate models, fractional integration, structural breaks

JEL Classification: C22

Suggested Citation

Caporale, Guglielmo Maria and Gil-Alana, Luis A., A Multivariate Long-Memory Model with Structural Breaks (March 2007). CESifo Working Paper Series No. 1950, Available at SSRN: https://ssrn.com/abstract=980662

Guglielmo Maria Caporale (Contact Author)

Brunel University London - Department of Economics and Finance ( email )

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HOME PAGE: http://www.brunel.ac.uk/about/acad/bbs/bbsstaff/ef_staff/guglielmocaporale/

London South Bank University ( email )

Centre for Monetary and Financial Economics
London
United Kingdom

CESifo (Center for Economic Studies and Ifo Institute)

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Munich, DE-81679
Germany

German Institute for Economic Research (DIW Berlin) ( email )

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Berlin, 10117
Germany

Luis A. Gil-Alana

University of Navarra - Department of Economics ( email )

Campus de Arrosadia
Pamplona, 31006
Spain

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