We investigate the validity of purchasing power parity of 7 Middle East countries over January 1980 to August 2008 by applying the stationary test with a nonlinear Fourier function as proposed by Becker et al. (2006). This test allows us to study the presence of unknown smooth structural breaks and the stationarity of real exchange rates. The empirical results indicate that PPP is not valid for most of these Middle East countries except the Bahrain and Israel.
Introduction"Does purchasing power parity work?" has been a disputable empirical issue for decades while it has important implications in international macroeconomics. According to the basic theoretical idea of purchasing power parity (PPP), we can expect that the real exchange rate returns to a constant equilibrium value in the long-run since any price of an internationally traded good should be the same anywhere in the world. In other words, a stationary real exchange rate indicates the existence of a long-run relationship between nominal exchange rate, domestic and foreign prices, and then the PPP hypothesis holds. However, many studies have examined the PPP hypothesis and found the conflict results for the existence of PPP. For example, Huizinga (1987) rejects the random walk by showing the existence of a mean-reversion component in real exchange rate increments, and Abuaf and Jorion (1990) and Lothian and Taylor (1996) find evidence of mean reversion in real exchange rates. Moreover, the results obtained using panel unit-root tests by Wu (1996), Oh (1996 and Papell (1997) support long-run PPP. On the other hand, the empirical evidence of Adler and Lehmann (1983) fail to reject the hypothesis that real exchange rates follow a random walk. Bahmani-Oskooee and Rhee (1992) and Mahdavi and Zhou (1994) also fail to find the existence of a long-run relationship between nominal exchange rate and relative prices through the cointegration technique. Therefore, from these studies, we find that the PPP hypothesis still remains the open question.