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Generalized long memory and mean reversion of the real exchange rate

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  • Stefan Norrbin
  • Aaron Smallwood

Abstract

Definitive evidence regarding a rapid mean reversion of the real exchange rate is not present when using standard linear methodology, including unit root tests and fractional integration. To consider the robustness of these results, we use an encompassing model, the Gegenbauer AutoRegressive Moving Average (GARMA) model, which nests as special cases the existing linear methods. The GARMA model accommodates a complete notion of persistence and allows shocks to dissipate slowly in a cyclical manner. We find evidence supporting a weak version of purchasing power parity, where equilibrium errors are long memory with strongly persistent cycles. However, this new form of cyclical mean reversion is likely too slow to be economically meaningful. The inability to find a strong equilibrium attractor process, using a very general encompassing linear methodology provides support for the recent models that allow for a nonlinear attraction process and for shifting real exchange rate equilibria.

Suggested Citation

  • Stefan Norrbin & Aaron Smallwood, 2010. "Generalized long memory and mean reversion of the real exchange rate," Applied Economics, Taylor & Francis Journals, vol. 42(11), pages 1377-1386.
  • Handle: RePEc:taf:applec:v:42:y:2010:i:11:p:1377-1386
    DOI: 10.1080/00036840701721349
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    References listed on IDEAS

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    1. Michael J. Dueker & Apostolos Serletis, 2000. "Do real exchange rates have autoregressive unit roots? a test under the alternative of long memory and breaks," Working Papers 2000-016, Federal Reserve Bank of St. Louis.
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