Deviations from purchasing power parity under different exchange rate regimes: Do they revert and,if so,how?

We propose an empirical model for deviations from long-run purchasing power parity (PPP) that simultaneously accounts for three key features: (i) adjustment toward PPP may occur via nominal exchange rates and relative prices at different speeds; (ii) different exchange rate regimes may generate regime shifts in the structural dynamics of PPP deviations; (iii) nonlinear reversion toward PPP in response to shocks. This empirical framework encompasses and synthesizes much previous empirical research. Using over a century of data for the G5 countries, we provide evidence that long-run PPP holds, the relative importance of nominal exchange rates and prices in restoring PPP varies over time and across different exchange rate regimes, and reversion to PPP occurs nonlinearly, at a speed that is fairly consistent with the nominal rigidities suggested by conventional open economy models.     

Productivity shocks and real exchange rates

Previous studies have concluded that productivity shocks have negligible effects on real exchange rate fluctuations. This paper shows that when long-run equilibrium relationships between real exchange rate levels and fundamental variables are taken into account, relative productivity shocks account for most of the long-run movements in the real exchange rates. This can be interpreted as empirical support for the Balassa (1964. Journal of Political Economy 72, 584-596) and Samuelson (1964. Review of Economics and Statistics 46, 145-154) model where differences in relative productivity is the main source of long-run deviations for purchasing power parity.     

Testing the Purchasing Power Parity Hypothesis for the New Member and Candidate Countries of the European Union: Evidence from Lagrange Multiplier Unit Root Tests with Structural Breaks

This paper investigates the validity of purchasing power parity (PPP) for the eleven Central and East European transition countries and three market economy countries, Cyprus, Malta, and Turkey. Unlike previous studies on PPP, this study uses Lagrange multiplier (LM) unit root tests that incorporate structural breaks in the data series. The findings indicate that in cases of one and two structural breaks, for a U.S. dollar-based real exchange rate series, there is little evidence supporting the validity of PPP. For a deutsche mark-based real exchange rate series, for the cases of both one and two breaks, there is evidence of stationarity of real exchange rates for eight sample countries, which is consistent with PPP. The results also indicate that the estimated half-life of a shock to the real exchange rate ranges from 1.25 (15.05 months) to 2.72 (32.72 months) years across countries. The empirical findings may provide direction for policy makers to coordinate monetary policies for the process of European monetary integration.     

Money shocks and deviations from purchasing power parity

This paper applies the island-economy framework of Phelps (1970) to a small open economy under a flexible exchange rate to study the effects of nominal (and real) disturbances on the purchasing power parity relation. Incomplete information about the aggregate state of the economy (and informational differences between agents) implies that a monetary shock that has finite variance can induce deviations from purchasing power parity while also affecting production, consumption and the current account. The real effects of money, however, become smaller as the variance of money gets larger. A type of ‘Lucas slope effect’ of money on deviations from purchasing power parity is obtained.     

PPP,interest rate parities,and the modified Fisher effect in the presence of tax agreements: A comment

If no taxes exist, perfect mobility and substitutability (international Fisher parity — IF) and purchasing power parity (PPP) result in real interest rate equality. The existence of taxes, however, prevents all three parity relationships from holding simultaneously. Costless financial arbitrage plus costless goods arbitrage are the assumptions of IF and PPP, respectively. If residency arbitrage is expensive, IF and PPP will result in unequal real rates that give no incentive for capital or goods flows. Differences in real rates may come either from differences in income tax rates or from differential inflation.     

A sequential purchasing power parity test for panels of large cross-sections and implications for investors

In this paper we use monthly time series data for not less than 64 countries and a new sequential approach to test for purchasing power parity (PPP). The results are strong in that the evidence in favor of PPP is very weak. In fact, for the US-dollar-based exchange rates the evidence is basically non-existent. In order to eliminate the effect of the base currency, we also apply the sequential PPP test to all pairs of exchange rates, and find similarly weak evidence of PPP. However, for those rates where evidence is found, using a technical trading rule, we find evidence of significant profits. The predictability of the stationary pairs is therefore important for investors.     

Long-run purchasing power parity,prices and exchange rates in transition: The case of six Central and East European countries

This paper presents empirical results on the hypothesis of long-run purchasing power parity (PPP) with respect to the exchange-rate regimes in six Central and East European countries. The analysis employs cointegration theory to examine the movements of prices and exchange rates in transition to a market economy. Our results are based on system estimation procedures developed by Stock and Watson (1993) and Johansen (1991). We find moderate evidence to support long-run equilibria, however, the cointegrating vector values do not yield to easy interpretation and violate the symmetry and proportionality conditions suggested by PPP. We provide an explanation for such behavior and find that it is consistent with the existing literature on transition and foreign exchange markets.     

Purchasing power parity, unit roots, and dynamic structure

Recent studies of purchasing power parity (PPP) account for the possible presence of unit roots in nominal exchange rates and relative price indices by applying standard unit-root tests to real exchange rates, which are ratios of nominal exchange rates and relative price indices. These studies occasionally find evidence of PPP, but as a whole, the evidence is not definitive. Standard unit-root tests impose a restrictive dynamic structure between nominal exchange rates and relative price indices. I specify and estimate a generalized dynamic structure. I reject the dynamic restrictions implicit in standard unit-root tests of PPP, and find stronger evidence of PPP than do most other recent studies.     

International asset pricing under segmentation and PPP deviations

We analyze the impact of both purchasing power parity (PPP) deviations and market segmentation on asset pricing and investor's portfolio holdings. The freely traded securities command a world market risk premium and an inflation risk premium. The securities that can be held by only a subset of investors command two additional premiums: a conditional market risk premium and a segflation risk premium. Our model is empirically supported with important implications for tests of international asset pricing.     

Is newer better? Penn World Table Revisions and their impact on growth estimates

This paper sheds light on two problems in the Penn World Table (PWT) GDP estimates. First, we show that these estimates vary substantially across different versions of the PWT despite being derived from very similar underlying data and using almost identical methodologies; that the methodology deployed to estimate growth rates leads to systematic variability, which is greater: at higher data frequencies, for smaller countries, and the farther the estimate from the benchmark year. Moreover, this variability matters for the cross-country growth literature. While growth studies that use low frequency data remain robust to data revisions, studies that use annual data are less robust. Second, the PWT methodology leads to GDP estimates that are not valued at purchasing power parity (PPP) prices. This is surprising because the raison d’être of the PWT is to adjust national estimates of GDP by valuing output at common international (purchasing power parity [PPP]) prices so that the resulting PPP-adjusted estimates of GDP are comparable across countries. We propose an approach to address these two problems of variability and valuation.     

Testing PPP Hypotheses between Japan and the Six G7 Countries

The paper examines the purchasing power parity(PPP) theory of the foreign exchange rate of the yenagainst the currencies of the six G7 countries. We usethe error-corrected five-dimensional vectorautoregressive (VAR) model with structural changes inthe trend function. The data cover the period of thepost-Breton–Woods floating exchange rate system. Theresults reveal that the PPP relation alone determinesthe exchange rates for the USA, France, Germany, andItaly, while a linear combination of PPP and uncoveredinterest rate parity (UIP) relations determines that for Canada. Ina model without trend breaks, the PPP relations holdonly for Germany, which indicates that a correctspecification of the sampling distribution of data isimportant. The one-step prediction based on the errorcorrection model (ECM) outperforms the random walkmodel. The ECM is useful to predict the out-of-samplebehaviors of the exchange rates.     

Natural Exchange Rate and Its Implications for the Purchasing Power Parity Puzzle

The notion of purchasing power parity has been an important building block in the theory of nominal and real exchange rates and for many theoretic models in international economics, leading to the purchasing power parity puzzle. The central issue of the puzzle is how to reconcile volatile short-term movements of real exchange rates (defined as nominal exchange rates adjusted for differences in national price levels) with very slow convergence to the parity condition. The main emphasis of this article is to show that the slow adjustment of the natural exchange rate is responsible for the well-known slow convergence of the real exchange rate to the long-run parity condition. The novel element of this article is to identify the relative importance between the financial channel and output gap channel of the purchasing power parity puzzle. The empirical findings of this article suggest that the financial channel is a dominant factor to explain persistent deviations of the real exchange rate from its long-run level.     

A test of purchasing power parity for emerging economies

The concept of purchasing power parity (PPP) is examined here for its applicability to the soft currencies of a large group of emerging/developing economies. PPP is tested through the use of the technique of cointegration. Based on data covering the period of 1975–1997, cointegration tests of price indices and exchange rates are conducted for 27 countries (against the U. S.). The results provide relatively strong evidence (for 14 countries) in favor of the long-term applicability of PPP as a cointegration concept. Further tests on real exchange rates indicate that the symmetry and proportionality conditions implied by PPP are rejected in all but one case. The latter tests also show that departures from long-term exchange values can last for several years and that a priori restrictions imposed on the cointegrating vector can lead to a false rejection of the PPP concept.     

Purchasing power parity in ASEAN-5 countries: revisit with cross-sectional dependence and structural breaks

This paper re-examines the purchasing power parity (PPP) hypothesis for a panel of ASEAN-5 countries. The panel unit root and cointegration tests, which incorporate cross-sectional dependence and multiple structural breaks, are innovatively used for testing the PPP hypothesis. We could not find evidence that supports the existence of a long-run equilibrium between the relative price ratio and the nominal exchange rate for the whole period. Nevertheless, there is evidence of a cointegrating relationship for the post-crisis period. Our finding implies that a flexible exchange rate regime is suitable for the individual ASEAN countries.     

Price,output, and exchange rate movements in the open economy

Since the advent of managed floating it has come to be accepted as a stylized fact that short-run deviations from purchasing power parity are both substantial and persistent. Two explanations of these deviations have been advanced in the literature. One emphasizes the role of changes in non-traded goods prices while the other views deviations from purchasing power parity as being due to sticky goods prices and slow adjustment of goods markets. This paper presents yet a third possible explanation of deviations from purchasing power parity — they may be necessary in order to facilitate the relative price changes that are required to maintain equilibrium in the face of unanticipated shocks. In addition, the issue of exchange rate overshooting is addressed. Whereas the sticky price models view exchange rate overshooting and exchange rate volatility as symptoms of some fundamental disequilibrium, the perspective taken here is that these events are, in principle, compatible with a world in which all markets clear continuously.     

The Exchange Rate in the Presence of Transaction Costs: Implications for Tests of Purchasing Power Parity

With transaction costs for trading goods, the nominal exchange rate moves within a band around the nominal purchasing power parity (PPP) value. We model the behavior of the band and of the exchange rate within the band. The model explains why there are below-unity slope coefficients in regression tests of PPP, and why these increase toward unity under hyperinflation or with low-frequency data. Our results are independent of the presence of nontraded goods in the economy.     

Searching for evidence of long-run PPP from a post-Bretton Woods panel: separating the wheat from the chaff

This paper reexamines the issue of long-run PPP using multiple panel tests in the framework of confirmatory analysis. Application of six panel tests under competing null hypotheses to the real exchange rates of 21 industrial countries yields seemingly contradictory evidence on the parity during the post-Bretton Woods period. Regardless of numeraire currency, four I(1) panel tests unanimously reject the null hypothesis in favor of long-run PPP, whereas two I(0) panel tests lend little support to the parity at conventional significance levels. Confirmatory analysis suggests that this puzzling result can be explained either by nonlinear dynamics of the real exchange rates or by a mixture of I(0) and I(1) series in the panel. Monte Carlo experiments indicate that potential mix of I(0) and I(1) series is more relevant to the empirical finding. The use of a sequential classification method sorts out six real exchange rates which exhibit most persistent deviations from long-run equilibrium. Systematic behavior of these series can be characterized better by country specific factors than by observable macroeconomic variables.     

Exchange rate bubbles: Fundamental value estimation and rational expectations test

We propose a model of periodically collapsing bubbles which extends the Van Norden (1996) model, and nests it, by considering a non-linear specification for the bubble size in the survival regime, and the endogenous determination of the level of the fundamental value of the stochastic process. They allow us to test for rationality in the formation of expectations, and remove the arbitrariness of exogenously setting the level of the fundamental value. This general model is applied to the exchange rate of the Brazilian real to the US dollar from March 1999 to February 2011. The futures market exchange rate is used as a proxy of its expected future value, and three different structural models are considered for the determination of the fundamental value. The first two imply that the exchange rate satisfies either purchasing power parity (PPP), or a modified version of it. The third structural model is a version of the monetary model of exchange rate determination, fitted to the period under consideration. We obtain the maximum likelihood estimate of the parameters of the models, explore the properties of the errors, test its restricted versions, and compare the three specifications for the fundamental. We find that the models we propose fit well the data, and are useful in the heuristic interpretation of the exchange rate movements of the period. Finally we select the structural models that display the best performance, according to several criteria.     

Why panel tests of purchasing power parity should allow for heterogeneous mean reversion

Recent studies of purchasing power parity (PPP) use panel tests that fail to take into account heterogeneity in the speed of mean reversion across real exchange rates. In contrast to several other severe restrictions of panel models and tests of PPP, the assumption of homogeneous mean reversion is still widely used and its consequences are virtually unexplored. This paper analyzes the properties of homogeneous and heterogeneous panel unit root testing methodologies. Using Monte Carlo simulation, we uncover important adverse properties of the panel approach that relies on homogeneous estimation and testing. More specifically, power functions are low and assume irregular shapes. Furthermore, homogeneous estimates of the mean reversion parameters exhibit potentially large biases. These properties can lead to misleading inferences on the validity of PPP. Our findings highlight the importance of allowing for heterogeneous estimation when testing for a unit root in panels of real exchange rates.     

Australia’s equity home bias and real exchange rate volatility

The main purpose of this paper is to consider the effect of real exchange rate volatility on equity investment by Australian investors. Equity investment is of major importance to savers and investors in Australia. Also real exchange rate volatility is an important influence on Australia’s financial integration in the global economy. Analysis of the effect of real exchange rate volatility on Australia’s equity home bias is important since Australian dollar is a commodity currency. There is a close relationship between Australia’s terms of trade and real exchange rate volatility. Home bias is measured on the basis of free float-adjusted market capitalization in recognition of the fact that closely held shares are not available to ordinary investors. Real exchange rate volatility is measured by deviations from purchasing power parity on a bilateral basis between Australia and 35 countries. The cross-border equity investment data over the period 2001–2007 are from International Monetary Fund’s Coordinated Portfolio Investment Survey. Australian investors are found to invest significantly less in a country if the real exchange rate volatility of that country is relatively high (results that are robust to standard control measures and generalized method of moments).