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Searching for long-range dependence in real effective exchange rate: towards parity? Both authors are immensely grateful to Prof. Vinicius Aguiar de Souza for the many comments, suggestions and detailed discussions in a previous draft. Both authors are grateful to Prof. Edilean Kleber da Silva Bejarano Aragón for their suggestions on earlier version of the work. The first author gratefully acknowledges financial support from CNPq (Process 475415/2013-2) and the efficient assistance of Prof. Fábio Pesavento in various stages of research. Any remaining errors are of entire responsibility of the authors. This paper was presented at XXXIX Simposio de la Asociación Española Economía which occurred in Palma de Mallorca, Spain, on 11 – 13 December 2014. The first author is also grateful for financial assistance of CAPES (AEX 7824/14-9).

Abstract

After the widespread adoption of flexible exchange rate regime since 1973 the volatility of the exchange rate has increased, as a consequence of greater trade openness and financial integration. As a result, it has become difficult to find evidence of the purchasing power parity hypothesis (PPP). This study investigates the possibility of a fall in the persistence of the real exchange rate as a consequence of the financial and commercial integration by employing monthly real effective exchange rate dataset provided by the International Monetary Fund (IMF). Beginning with an exploratory data analysis in the frequency domain, the fractional coefficient d was estimated employing the bias-reduced estimator on a sample of 20 countries over the period ranging from 1975 to 2011. As the main novelty, this study applies a bias-reduced log-periodogram regression estimator instead of the traditional method proposed by GPH which eliminates the first and higher orders biases by a data-dependent plug-in method for selecting the number of frequencies to minimize asymptotic mean-squared error (MSE). Additionally, this study also estimates a moving window of fifteen years to observe the path of the fractional coefficient in each country. No evidence was found of a statistically significant change in the persistence of the real exchange rate.

Keywords
Purchasing power parity; Persistence; Fractional integration; Real exchange rate

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