An invariance property of the common trends under linear transformations of the data

Soren Johansen and Katarina Juselius

CREATES Research Papers from Department of Economics and Business Economics, Aarhus University

Abstract: It is well known that if X(t) is a nonstationary process and Y(t) is a linear function of X(t), then cointegration of Y(t) implies cointegration of X(t). We want to find an analogous result for common trends if X(t) is generated by a finite order VAR. We first show that Y(t) has an infinite order VAR representation in terms of its prediction errors, which are a linear process in the prediction error for X(t). We then apply this result to show that the limit of the common trends for Y(t) are linear functions of the common trends for X(t). We illustrate the findings with a small analysis of the term structure of interest rates.

Keywords: Cointegration vectors; common trends; prediction errors. (search for similar items in EconPapers)
JEL-codes: C32 (search for similar items in EconPapers)
Pages: 14
Date: 2010-10-31
New Economics Papers: this item is included in nep-ecm and nep-ets
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
https://repec.econ.au.dk/repec/creates/rp/10/rp10_72.pdf (application/pdf)

Related works:
Working Paper: An Invariance Property of the Common Trends under Linear Transformations of the Data (2010)
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:aah:create:2010-72

Access Statistics for this paper

More papers in CREATES Research Papers from Department of Economics and Business Economics, Aarhus University
Bibliographic data for series maintained by (bhoejklint@econ.au.dk).