Non-linear adjustment to purchasing power parity: an analysis using Fourier approximations

Juan Jimenez-Martin and M. Dolores Robles Fernandez

Documentos de Trabajo del ICAE from Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico

Abstract: This paper estimates the dynamics of adjustment to long run purchasing power parity (PPP) using data for 18 mayor bilateral US dollar exchange rates, over the post-Bretton Woods period, in a non-linear framework. We use new unit root and cointegration tests that do not assume a specific non-linear adjustment process. Using a first-order Fourier approximation, we find evidence of non-linear mean reversion in deviations from both absolute and relative PPP. This first-order Fourier approximation allows us to capture many features of the nonlinear decay detected in the data. Our results are consistent with theoretical arguments on international goods markets arbitrage under transaction costs as well as with an emerging strand of empirical literature. In this sense, this paper contributes towards forming a consensus on the presence of nonzero transaction costs across a broad range of countries.

Keywords: Unit-root test; Cointegration test; Fourier approximation; nonlinear model; exchange rates; purchasing power parity. (search for similar items in EconPapers)
JEL-codes: C22 C32 F31 (search for similar items in EconPapers)
Pages: 24 pages
Date: 2005
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