Smooth structural breaks and the stationarity of the yen real exchange rates

This article examines and solves an interesting paradox in the literature that the tests for purchasing power parity (PPP) based on the yen real exchange rates (RERs) refute the PPP hypothesis more often than those with other major currency-based RERs, and the evidence is sensitive to the sample period used. Using a new empirical methodology accounting for both nonlinearity and multiple smooth temporary breaks in the data, we show that the puzzling finding is due to the failure to take into account the long but temporary large rise and fall in the yen RERs. The results illustrate that the yen RERs in the post-Bretton Woods period are likely mean reverting with linear or nonlinear adjustment toward large, long swing type of infrequent smooth temporary changes around constant equilibrium values, supporting the validity of PPP and resolving the paradox.     

Parity reversion persistence in real exchange rates: middle income country case

This article investigates purchasing power parity (PPP) in the specific context of middle income countries. To circumvent the low power of traditional stationarity tests (Augmented Dickey-Fuller and Phillips-Perron tests), it performs variance ratio and fractional integration tests in addition to Perron's test that accounts for potential structural changes in real exchange rate processes. Beyond estimating half-life shocks to PPP, this article attempts to explain these estimates using a set of country specific variables as suggested by economic theory. The evidence suggests that reversion to parity tends to be faster in high inflation countries and that productivity improvement leads to a higher level of persistence. Openness to trade tends to reduce the extent of deviations from parity but this result does not appear to be statistically robust. Evidence shows also that deviations are less persistent under a fixed exchange rate regime and under unrestricted capital mobility.     

Bootstrapping covariate stationarity tests for inflation rates

This paper investigates the stationarity properties of international inflation rates by bootstrapping two stationarity tests with covariates in Jansson (2004). When the asymptotic critical values are used, the two powerful tests are found to reject the null hypothesis less in the presence of a large negative moving-average (MA) error in inflation. To cope with this problem, a parametric bootstrap scheme is developed and then is investigated by a Monte Carlo study. The simulation results demonstrate that the bootstrap tests display a better control over the empirical rejection rates at finite samples. Furthermore, after applying these tests to the inflation in G-10 countries, we find that one of the two tests using bootstrap critical values yields inferences that differ from when using asymptotic ones, and as a whole, the bootstrap tests consistently provide strong evidence in support of mean reversion in inflation in most countries of the G-10.     

Long memory and mean reversion in real exchange rates in Latin America

This article examines the long-run Purchasing Power Parity (PPP) hypothesis for 12 Latin American Real Effective Exchange Rates (REERs) using fractional integration techniques. The empirical results, applying parametric approaches, provide evidence of mean reversion in the REERs in the cases of Nicaragua, Belize, Costa Rica, Guyana and Paraguay and lack of it for the remaining seven countries. Employing semiparametric methods, the evidence of mean reversion covers the following countries: Belize, the Dominican Republic, Ecuador and Mexico. Thus, only for Belize and Guyana do we obtain consistent evidence of mean reversion in the real exchange rates. At the other extreme, lack of mean reversion, and thus, lack of PPP, is obtained with both methods in Bolivia, Brazil, Colombia and Venezuela. For the remaining six countries, the results are ambiguous. The results for the PPP theory in Belize and Guyana may show the importance of promoting policies based on exchange rate flexibility and economic liberalization to reach a long-run stability scenario that leads to greater international competitiveness and lower external vulnerability.     

Parity reversion in the Asian real exchange rates: new evidence from the local-persistent model

This article investigates the time-series properties of 13 Asian real exchange rates (RERs) vis-à-vis the US dollar. The half-life point estimates drawn from the local-persistent model are all less than 2 years, with a finite upper bound. There is no evidence to indicate that the Asian financial crisis has altered the speed of the purchasing power parity (PPP) adjustments. We find that the persistence of RERs over the last three decades remains unchanged in majority of the cases. Given the fairly rapid speed of adjustments and their corresponding confidence intervals, we conclude that the PPP puzzle does not exist in these countries.     

Non-parametric tests of real exchange rates in the post-Bretton Woods era

This paper examines the mean-reverting property of real exchange rates. Earlier studies have generally not been able to reject the null hypothesis of a unit-root in real exchange rates, especially for the post-Bretton Woods floating period. The results imply that long-run purchasing power parity does not hold. More recent studies, especially those using panel unit-root tests or nonlinear time series models, have found more favorable results, however. But the results from these recent studies are far from conclusive. Consistent individual country time series evidence that supports long-run purchasing power parity continues to be scarce. In this paper, we test for long memory using (Lo’s in Econometrica 59:1279–1313, 1991) the modified rescaled range test, and the rescaled variance test of Giraitis et al. (J Econ 112:265–294, 2003a). Our testing procedure provides a non-parametric alternative to the parametric tests commonly used in this literature. Our data set consists of monthly observations from April 1973 to April 2001 of the G-6 countries (excluding the US) in the OECD. Using the modified rescaled range test, we find only 2 cases out of 15 where the null hypothesis of a unit-root with short-term dependence could be rejected in favor of the alternative hypothesis of long-term dependence and none using the rescaled variance test. Our results therefore do not provide strong empirical support for the stationarity of real exchange rates.     

Asymmetry dynamics in real exchange rates: New results on East Asian currencies

This paper provides new evidence on the purchasing power parity (PPP) hypothesis in six East Asian countries. Based on nonlinear unit root tests, we discovered that the results are broadly consistent with the fact that real exchange rates (RERs) follow a nonlinear mean reversion process. We presented new evidence that the adjustment towards the PPP parity is asymmetric (LSTAR process) above and below the equilibrium value in all but one case — the Malaysian ringgit (MYR). The empirical results suggest that it is important that the conventional tests of PPP be amended to take account of asymmetries in the adjustment process in RERs.     

Bilateral real exchange rates and migration

Migrants who move across borders are, to a large extent, motivated by the prospect of earning higher incomes at destination, which can be partly transferred back to their countries of origin via remittances. This suggests that the real exchange rate can influence the incentives to migrate, as it determines the purchasing power of expected income in terms of the currency of the origin country. This article investigates empirically how bilateral real exchange rate fluctuations influence international migration flows. To do so, we build a dataset of 30 OECD destination countries and 165 origin countries over the period 1980–2011 and estimate an equation derived from a micro-founded random utility maximization model that allows for unobserved heterogeneity between migrants and non-migrants. Our results show that migration flows are highly responsive to bilateral real exchange rates: A 10% real appreciation of the currency of the destination country is associated with an 18.2–19.4% increase in migration flows.     

Terms of trade and the exchange rates of New Zealand and Australia

Effects of the terms of trade on the bilateral exchange rate of New Zealand and Australia and of each of these countries with the USA are evaluated. There is strong evidence of cointegration of the exchange rates and a ration of the respective national price levels when the relative terms of trade of the countries are included in dynamic models. While evidence that the long-run equilibrium relationships satisfy purchasing power parity is mixed, relative improvement of a country's terms of trade results in real appreciation of its currency in all cases. The terms of trade are also found to be exogenous for the parameters of the long-run New Zealand–Australia exchange-rate equilibrium.     

Generalized long memory and mean reversion of the real exchange rate

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.     

Asian real interest rates, nonlinear dynamics, and international parity

This study tests for nonlinearities in the real interest differentials of four South East Asian economies with respect to Japan and the United States. The logistic and exponential smooth transition regression models are applied to monthly data over the sample period 1977M1–2000M3. There is evidence of nonlinearities in Asian real interest differentials where nonlinearities are often captured by the logistic smooth transition autoregressive (STAR) model. The extent of nonlinearities varies across the sample with the Singapore–Japan and Thailand–Japan differentials exhibiting the sharpest transition from one regime to another. Large shocks to real interest parity (RIP) are more likely to lead to the reestablishment of parity at a faster rate than small shocks. Modeling the nonlinear stochastic dynamics of RIP can thus be useful for policymaking purposes in recovering information on monetary and financial crises.     

Inequality convergence revisited: Evidence from stationarity panel tests with breaks and cross correlation

This paper empirically examines whether there exists stochastic convergence of income inequality among 48 contiguous states within the US over the 1916–2005 period. For that purpose, we employ the recently developed panel stationarity test of Carrion-i-Silvestre, Del Barrio-Castro and López-Bazo (2005), which assumes a highly flexible trend function by incorporating an unknown number of structural breaks. In addition, the issues of cross-sectional dependence as well as control for finite-sample bias are accommodated through bootstrap methods. Overall, for the US case, our analysis provides strong evidence in support of the hypothesis of inter-state inequality convergence. Moreover, the results are robust to alternative inequality measures applied, different notions of stochastic convergence defined, and alternative panel stationary test employed.     

Purchasing power parity and country characteristics: Evidence from panel data tests

We examine long-run purchasing power parity (PPP) using panel data methods to test for unit roots in US dollar real exchange rates of 84 countries. We find stronger evidence of PPP in countries more open to trade, closer to the United States, with lower inflation and moderate nominal exchange rate volatility, and with similar economic growth rates as the United States. We also show that PPP holds for panels of European and Latin American countries, but not for African and Asian countries. Our findings demonstrate that country characteristics can help explain both adherence to and deviations from long-run PPP.     

Buffer stocks,exchange rates and deviations from purchasing power parity

In this paper an extension of the Monetary Approach to the Exchange Rate reduced form is presented and estimated for four bilateral exchange rates with data from the recent floating experience. The extension incorporates two features: a more sophisticated modelling of money demand, using theCarr andDarby money demand specification, and allowing for deviations from purchasing power parity. The estimated results are supportive of our extended specification and we conclude by arguing that care should be taken in specifying the underlying structural relationships in asset reduced form exchange rate equations.     

Inflation targeting and real exchange rates: A bias correction approach

This paper examines whether inflation targeting (IT) influences purchasing power parity (PPP) by a bias correction approach under cross-sectional dependence. The recursive mean adjustment (RMA) method proposed by So and Shin (1999) and Shin and So (2001) is employed to correct a downward bias in half-life estimates of real exchange rates. More importantly, the empirical results show that IT lowers variability of real exchange rates and plays an important role in providing favorable evidence for long-run PPP.     

Mean reversion in target zones: a re-examination of some ERM exchange rates

The theoretical literature on exchange rate behaviour in target zones predicts that the exchange rate would be mean reverting. This article empirically investigates this theoretical prediction in the case of the German mark bilateral exchange rates. Using a recently developed unit root test, this article provides evidence that is generally negative to the idea of mean reversion. It shows that all bilateral exchange rates under investigation appear to be unit root processes with the exception of the Dutch guilder/German mark rate.     

Home bias and the persistence of real exchange rates

This paper investigates the half-life of real exchange rates after taking into account the impact of home bias. Empirical results indicate that the half-life of real exchange rates is in the range of 1.5 to 2 years for four out of five countries after controlling the impact of home bias. These results support Obstfeld and Rogoff's (2000, NBER Macroeconomics Annual) view that home bias is crucial in explaining the PPP puzzle.     

Real exchange rates and real interest rates once again: a multivariate panel cointegration analysis

This paper employs multivariate panel cointegration techniques to re-examine the empirical relationship between bilateral real exchange rates and real interest rates. The results from a panel of 1470 quarterly observations on Canada, France, Germany, Italy, Japan, UK, and USA over the period 1977 to 1994 indicate the absence of any long-run relationship between the two variables.