Purchasing power parity with flexible Fourier stationary test for Central and Eastern European countries

This study applies stationary test with a Fourier function proposed by Enders and Lee (2004, 2009) to test the validity of long-run Purchasing Power Parity (PPP) to assess the nonstationary properties of the Real Exchange Rate (RER) for seven Central and Eastern European Countries (CEECs). We find that our approximation has higher power to detect U-shaped breaks and smooth breaks than linear method if the true data generating process of exchange rate is in fact a stationary nonlinear process. We examine the validity of PPP from the nonlinear point of view and provide robust evidence clearly indicating that the PPP holds true for all CEECs. Our findings point out their exchange rate adjustment is mean reversion towards PPP equilibrium values in a nonlinear way.     

Revisiting purchasing power parity for African countries: with nonlinear panel unit-root tests

This study applies Panel Seemingly Unrelated Regressions (SUR) Kapetanios et al. (Kapetanios–Shin–Snell (KSS), SURKSS) tests, proposed by Wu and Lee (2009), to investigate the properties of long-run Purchasing Power Parity (PPP) in 15 African countries. The empirical results from the univariate unit root and panel based unit root tests indicate that PPP does not hold for these 15 countries under study. However, Panel SURKSS tests indicate that PPP is valid for four of these 15 countries. These results have important policy implications for these 15 African countries under study.     

Revisiting purchasing power parity for East Asian countries using the rank test for nonlinear cointegration

This study applies a simple and powerful nonlinear rank test, proposed by Breitung (2001) to test the validity of long-run Purchasing Power Parity (PPP) in a sample of East Asian countries over the period March 1985–September 2008. The empirical results indicate that PPP holds for all of East Asian countries studied and the nominal exchange rate, domestic Consumer Price Index (CPI) and the US CPI are all linearly interrelated with the exception of China. Our results have important policy implications for these East Asian countries under study.     

Examining world-wide purchasing power parity

We examine long-run PPP between Germany, Great Britain, Japan and the United States over the period 1930–1996 using multivariate cointegration techniques. Bilateral PPP between the four countries is examined in one system (as opposed to e.g. series of trivariate systems). In all of the statistical analysis, asymptotic tests are augmented by parametric bootstrap analogues, whereby we reduce, if not eliminate, the size distortion typically present in small-sample studies. The cointegration analysis provides support for the necessary conditions for PPP (i.e. cointegrating relations are found) but not for the sufficient conditions (i.e., the coefficients in the cointegrating relations are far from what PPP predicts). These results are at odds with results from other studies that also analyze long-horizon data sets.First version received: November 2000/Final version received: February 2003Comments by Stefan Norrbin, Lee Ohanian, Anders Vredin, seminar-participants at Sveriges Riksbank (the central bank of Sweden) and at the Econometric Society European Meeting in Santiago de Compostela are gratefully acknowledged.     

An empirical test of purchasing power parity in selected developing countries: a panel data approach

Abstract

This paper examines the empirical validity of Purchasing Power Parity (PPP) for certain large developing economies by using a panel unit root methodology. The test results show that a long run real exchange rate depreciation trend exists in certain developing countries. Without considering this depreciation trend, it is hard to verify the stationarity and to explain the existence of the extremely long half-lives of the real exchange rates. When a linear time trend is included in the tests, the results tend to support the stationarity of the underlying real exchange rate processes, and the half-lives are significantly shorter and their range can be explained by transitory disturbances.     

Testing the validity of PPP theory for African countries

This study examines the purchasing power parity theory for 14 African countries by applying a recent composite time series method that incorporates the Fourier approximation. The structural breaks are modelled as a gradual smooth process by means of a Fourier component. The Fourier unit root test failed to find any evidence showing that real exchange rates for these 14 countries have mean-reverting tendencies. However, both cointegration and Fourier cointegration tests detect a stable long-term relation between the nominal exchange rate and relative price levels for 8 out of 14 countries; moreover, for five countries Fourier component in cointegration analysis is found to suit quite well.     

An empirical analysis on the law of purchasing power parity and international economic deepening

This article empirically investigates the effect of international trade on the deviation of Purchasing Power Parity (PPP) law and on the international economic deepening in four developed countries (Japan, USA, UK and France), and three Asian developing ones (South Korea, Singapore and Malaysia), using International Financial Statistics (IFS) data issued by International Monetary Fund (IMF). Our results show that in some developed countries the imbalance effect of balance of payments is significant for both international deepening and deviation from PPP, and in some developing countries the volume effect of balance of payments is significant for international deepening.     

Real interest rate parity with Flexible Fourier stationary test for Central and Eastern European countries

This study applies stationary test with a Fourier function proposed by Enders and Lee (2012) to test the validity of long-run real interest rate parity (RIRP) to assess the non-stationary properties of the real interest rate convergence for twelve Central and Eastern European (CEE) countries. We find that our approximation has higher power to detect U-shaped breaks and smooth breaks than linear method if the true data generating process of interest rate convergence is in fact a stationary non-linear process. We examine the validity of RIRP from the non-linear point of view and provide robust evidence clearly indicating that RIRP holds true for nine CEE countries. Our findings point out that their interest rate adjustment is mean reversion towards RIRP equilibrium values in a non-linear way.     

The purchasing power parity puzzle is worse than you think

The ‘‘purchasing power parity puzzle’’ is the difficulty of reconciling very high short-term volatility of real exchange rates with very slow rates of mean reversion. The strongest evidence of slow mean reversion comes from least squares estimates of first-order autoregressive models of the long-horizon dollar-sterling real exchange rate. Using median-unbiased estimation methods, we show that these methods underestimate the half-lives of PPP deviations, and thus overestimate the speed of mean reversion. When the specification is amended to allow for serial correlation, the speed of mean reversion falls even further. This makes resolution of the purchasing power parity puzzle more problematic.First version received: May 2003/Final version received: July 2004We thank Lutz Kilian, James Lothian, Mark Taylor, and two anonymous referees for helpful comments and suggestions.     

Regime-switching purchasing power parity in Latin America: Monte Carlo unit root tests with dynamic conditional score

We suggest a Monte Carlo simulation-based unit root test of the purchasing power parity theory for Latin American countries. Under the null hypothesis, we use a Markov regime-switching (MS) model with unit root in the conditional location and MS volatility dynamics. Under the alternative hypothesis, the proposed test incorporates Markov regime-switching autoregressive moving average (MS-ARMA) plus MS volatility dynamics. Under both the null and alternative hypotheses, one of the volatility models estimated is Beta-t-EGARCH, which is a recent dynamic conditional score volatility model. We use data on real effective exchange rate time series for 14 Latin American countries. For each country, we estimate by Monte Carlo simulation the critical values of the unit root test. We provide an economic discussion of the unit root test results and also study the robustness of MS-ARMA plus MS volatility with respect to smooth transition autoregressive models with Fourier function.     

A neglected contribution to monetary theory in the eighteenth century: Anders Wappengren on paper money,floating exchange rates,and purchasing power parity

Abstract

Between 1789 and 1803 the National Debt Office issued unbacked interest bearing notes whereas the Bank of Sweden issued silver backed notes. The massive note issuance by the National Debt Office led to different exchange rates and two units of account. The situation gave rise to an early paper standard theory formulated by Anders Wappengren, a well-read merchant who was strongly influenced by Adam Smith and the French physiocrats. Wappengren had a firm understanding of monetary systems and the adjustment mechanism under floating exchange rates, including such concepts as purchasing power parity and price stickiness.     

Examining the evidence of purchasing power parity by recursive mean adjustment

This paper revisits the empirical evidence of purchasing power parity under the current float by recursive mean adjustment (RMA) proposed by So and Shin (1999). We first report superior power of the RMA-based unit root test in finite samples relative to the conventional augmented Dickey–Fuller (ADF) test via Monte Carlo experiments for 16 linear and nonlinear autoregressive data generating processes. We find that the more powerful RMA-based unit root test rejects the null hypothesis of a unit root for 16 out of 20 current float real exchange rates relative to the US dollar, while the ADF test rejects only 5 at the 10% significance level. We also find that the computationally simple RMA-based asymptotic confidence interval can provide useful information regarding the half-life of the real exchange rate.     

Testing the relative purchasing power parity hypothesis: the case of Korea

This study examines the relative purchasing power parity (PPP) hypothesis using the data from the Korean won–US dollar and the Korean won–Japanese yen foreign exchange markets. We extract proxies for inflation from stock market returns of Korea, the United States and Japan based on the method used by Chowdhry, Roll and Xia in 2005. We explicitly test the relative PPP hypothesis in light of the short-run price volatility using monthly, bimonthly and quarterly data from 1 January 1998 to 31 December 2012. Our findings suggest that the empirical test results from the entire sample period do not support the relative PPP hypothesis. However, the results from the sample period excluding the Asian Financial Crisis period show that the relative PPP hypothesis holds for the Korean won–US dollar market with a moderate magnitude of inflation impact, but not for the Korean won–Japanese yen market. Abrupt changes in exchange rates during the crisis period may have affected the relationship between inflation and exchange rates. This result also suggests that factors other than inflation might have affected the Korean won–Japanese yen exchange rate.     

A wavelet-based panel unit-root test in the presence of an unknown structural break and cross-sectional dependency,with an application of purchasing power parity theory in developing countries

This article introduces two different non-parametric wavelet-based panel unit-root tests in the presence of unknown structural breaks and cross-sectional dependencies in the data. These tests are compared with a previously suggested non-parametric wavelet test, the parameteric Im-Pesaran and Shin (IPS) test and a Wald type of test. The results from the Monte Carlo simulations clearly show that the new wavelet-ratio tests are superior to the traditional tests both in terms of size and power in panel unit-root tests because of its robustness to cross-section dependency and structural breaks. Based on an empirical Central American panel application, we can, in contrast to previous research (where bias due to structural breaks is simply disregarded), find strong, clear-cut support for purchasing power parity (PPP) in this developing region.     

Cointegration,dynamic structure,and the validity of purchasing power parity in African countries

The purpose of this paper is to test the validity of the purchasing power parity (PPP) in Africa in the context of a multivariate error-correction model. This approach allows for the consideration of long-run elasticities as well as the dynamics of the short-run adjustment of exchange rates to changes in domestic and foreign prices. Monthly data for fourteen African countries are used, and the period examined is 1973:4 through 2007:7 (i.e., 412 observations). Results from long-run cointegration analysis, short-run error correction models, persistence profile analysis and variance decomposition all confirm the validity of PPP in these moderate-to-high inflation countries, where estimates of half-life deviations from PPP are found to be outside the range suggested by Rogoff (1996).     

Purchasing power parity for fifteen Latin American countries: Stationary test with a Fourier function

This study applies a stationary test with a Fourier function, proposed by Becker et al. (2006), to test the validity of long-run purchasing power parity (PPP) in fifteen Latin American countries over the period of December 1994 to February 2010. The empirical results from the univariate unit root tests indicate that PPP does not hold for these fifteen countries under study. However, a stationary test with a Fourier function indicates that PPP is valid for four of these 15 Latin American countries and they are Brazil, Chile, Ecuador and Uruguay. These results have important policy implications for these fifteen Latin American countries under study.     

Real interest rate parity in Asian countries: evidence from the quantile unit root test

This article studies the real interest rate parity (RIP) for several Asian countries. This is done by examining the stationarity in the real interest rate differentials (rids) with respect to the US using the quantile unit root test. Our results show that rids exhibits unit-root behaviours in the lower quantile levels, and mean reversion in the upper quantile levels. Furthermore, large positive shocks tend to induce strong mean reversion and the adjustment towards the long-run equilibrium level is faster as rids gets larger, with shorter half-lives in the extreme quantile levels.     

Fourier nonlinear quantile unit root test and PPP in Africa

We test the PPP hypothesis in 29 African countries using a newly developed nonlinear Quantile unit root test with a Fourier function which accounts for smooth breaks. Simulation indicates that the proposed new test has higher power than the conventional Quantile unit root test as proposed by Koneker and Xiao (2004). Our empirical results provide support for the PPP hypothesis in 21 out of 29 African countries, a unique discovery using their real effective exchange rates. It appears that incorporating Fourier function to nonlinear Quantile unit root test gets us closer and closer to solving the PPP puzzle in Africa.     

Purchasing power parity for 15 Latin American countries: Panel SURKSS test with a Fourier function

This study applies Panel SURKSS test with a Fourier function to investigate the properties of long-run purchasing power parity (PPP) in fifteen Latin American countries over the period of December 1994 to February 2010. The empirical results from the univariate unit root and panel-based unit root tests indicate that PPP does not hold for these fifteen countries under study. However, results from the Panel SURKSS test with a Fourier function indicate that PPP is valid for these fifteen countries, with the exception of Honduras. Our results highlight the importance of incorporating both nonlinearities and structural breaks when testing the validity of long-run PPP. These results have important policy implications for these fifteen Latin American countries under study.