testing long run purchasing power parity under exchange rate targeting abstract the present paper exploits the idea that empirical estimates of the long run ppp relationship may compound two distinct influences coming from the behavior of market participants and policy makers when the latter are targeting the exchange rate this tends to bias tests of long run ppp against its acceptance the validity of the theoretical arguments is assessed by drawing on the experience of two european union countries greece and france for the post bretton woods period estimation biases due to the omission of policy effects are found to be significant only in the case of greece for france our test results provide evidence bearing on the effectiveness of the competitive disinflation strategy pursued by the french authorities

unit root tests and the statistical pitfalls of seasonal adjustment the case of u s postwar real gross national product unit root tests applied to the postwar seasonally adjusted quarterly gross national product series strongly support the null hypothesis of the presence of a unit root in the data generating process evidence reported here with seasonally unadjusted data is far less conclusive it is explained why seasonal adjustment procedures may alter the outcome of conventional tests

deviations from purchasing power parity in the long run this paper demonstrates that deviations from purchasing power parity reveal a remarkable and possibly startling consistency with martingale behavior during both fixed and flexible rate periods for a wide variety of countries and in both monthly and annual data since this pattern appears to be much more general than one would expect on the basis of models founded on international commodity arbitrage the paper proposes an alternative explanation which instead relies on financial arbitrage in bonds as the underlying mechanism this paper will demonstrate that deviations from purchasing power parity ppp reveal a remarkable and possibly startling consistency with martingale behavior during both fixed and flexible exchange rate periods for a wide variety of countries and in both monthly and annual data this pattern appears to be much more general than one would expect on the basis of models founded on international commodity arbitrage the paper therefore proposes an alternative explanation which does not presuppose free trade in goods but which instead relies on financial arbitrage in bonds as the underlying mechanism the major implication of the theory and the results is that ppp is as likely to be violated in the long as in the short run as an empirical matter deviations from ppp can be observed for most currencies at any instant see kravis et al 21 stockman 37 and genberg 15 among others these deviations are typically both cumulative and persistent the real exchange rate can remain on either side of parity for lengthy but variable time intervals of a year or more as a consequence the current consensus shared

the collapse of purchasing power parities during the 1970 s one of the striking facts concerning the relationship beiveen prices and exchange rates during the 1970 s has been the dismal performance of the predictions of the simple versions of the purchasing power parity doctrine ppp that doctrine in its absolute version states that the equilibrium exchange rate between domestic and foreign currencies equals the ratio of domestic to foreign price levels the relative version of the doctrine relates equilibrium changes in exchange rates to changes in the ratio of domestic to foreign prices during the 1970 s short run changes in exchange rates bore little relationship to short run differentials in national inflation rates and frequently divergences from purchasing power parities have been cumulative this paper reviews and analyzes the empirical record of exchange rates and prices during the 1970 s and the analysis is based on the experience of the dollar pound the dollar frecch franc and the dollar dm exchange rates section 2 presents the evidence on ppp during the 1970 s and contrasts it with the evidence from the 1920 s a period during which the doctrine held up reasonably well this analysis is relevant for assessing whether the flexible exchange rate system was successful in providing national economies with an added degree of insulation from foreign shocks and whether it provided policymakers with an added instrument for the conduct of macroeconomic policy the evidence regarding devia tions from purchasing power parities is also relevant for determining whether there is a case for managed float section 3 attempts to explain what went wrong with

the valuation of american options on bonds abstract we value american options on bonds using a generalization of the geske johnson geske r johnson h 1984 journal of finance 39 1151 1542 gj technique the method requires the valuation of european options and options with multiple exercise dates it is shown that a risk neutral valuation relationship rnvr along the lines of black scholes black f scholes m 1973 journal of political economy 81 637 659 model holds for options exercisable on multiple dates even under stochastic interest rates when the price of the underlying asset is lognormally distributed the proposed computational procedure uses the maximized value of these options where the maximization is over all possible exercise dates the value of the american option is then computed by richardson extrapolation the volatility of the underlying default free bond is modeled using a two factor model with a short term and a long term interest rate factor we report the results of simulations of american option values using our method and show how they vary with the key parameter inputs such as the maturity of the bond its volatility and the option strike price

long memory in foreign exchange rates using the geweke porter hudak test we find evidence of long memory in exchange rate data this implies that the empirical evidence of unit roots in exchange rates may not be robust to long memory alternatives fractionally integrated autoregressive moving average arfima models are estimated by both the time domain exact maximum likelihood ml method and the frequency domain approximate ml method impulse response functions and forecasts based on these estimated arfima models are evaluated to gain insight into the long memory characteristics of exchange rates some tentative explanations of the long memory found in the exchange rates are discussed

real and nominal exchange rates in the long run an empirical investigation abstract this paper reports on econometric tests of the hypothesis that purchasing power parity holds as a long run relationship using data on eight industrialized countries during the flexible exchange rate period the empirical work proceeds by i testing whether nominal exchange rates and relative price levels are co integrated and ii conducting impulse response analysis of long run exchange rate and relative price level changes to explain the data keynesian models suggest that shocks during the estimation period were due principally to exogenous shifts in aggregate demand while equilibrium models suggest that monetary factors have been relatively more important

does the exchange rate follow a random walk a monte carlo study of four tests for a random walk abstract several authors have urged that real and nominal exchange rates follow a random walk conditions under which the exchange rate follows a random walk are reviewed in this paper many of these do not appear to hold therefore the empirical evidence presents a puzzle some evidence suggets the exchange rate follows a random walk while other evidence suggests the opposite should be true this paper attempts to reconcile the evidence it is argued that the tests for a random walk have low power monte carlo evidence on four tests for a random walk is presented that suppors this claim

price indices and nonlinear mean reversion of real exchange rates author affiliation jyh lin wu institute of economics national sun yat sen university kaohsiung 804 taiwan jlwu2 mail nsysu edu tw and the department of economics national chung cheng university chia yi 106 taiwan ecdjlw ccu edu tw corresponding authorpei fen chen department of international business and trade shu te university kaohsiung taiwan cpf mail stu edu tw acknowledgment we thank two anonymous referees for interesting and constructive comments on an earlier version of the paper any remaining errors are ours 1 introduction are price indices crucial for the existence of a nonlinear mean reversion of real exchange rates do prices or exchange rate adjustments dominate when deviations from purchasing power parity ppp occur is the half life implied by a nonlinear model reasonable the purpose of this article is to address the above three questions for the uk and new zealand over the period of recent float the ppp hypothesis has been one of the most intensive research issues in empirical international finance over the past two decades the rationale behind it is a simple arbitrage hypothesis which results in a linear adjustment of deviations from ppp and the stationarity of real exchange rates empirically existing evidence based on unit root tests provide mixed results for ppp abuaf and jorion 1990 mark 1990 o connell 1998a theoretically there are several reasons for the nonlinear adjustment of deviations from ppp such as the existence of market frictions or transaction costs sercu uppal and van hulle 1995 in addition models of pricing to market and exchange rate pass through give rise to impediments to goods arbitrage krugman 1987 froot and klemperer 1989 the implication is that the speed of adjustment of deviations from ppp depends on the magnitude of the deviations on the other hand the adoption of a price index is crucial in examining ppp several authors have argued that the consumer and producer price indices cpi and ppi respectively do not correspond to their theoretical counterparts and contain measurement errors and aggregation biases cheung and lai 1993 imbs et al 2005 in addition the commodity basket for cpi and ppi includes nontradable goods which impart a nonstationary component to real cpi or ppi exchange rates engel 1999 recently xu 2003 argues that the price index of traded goods tpi is the appropriate one for ppp since it reflects the behavior of arbitrage better than the cpi or ppi the purpose of this article therefore is to examine the nonlinear dynamics of tpi based real exchange rates several authors have applied a smooth transition autoregressive star model to capture the nonlinear dynamics of real exchange rates as it allows for a smooth adjustment between regimes michael nobay and peel 1997 taylor peel and sarno 2001 there are several reasons for us to apply a band threshold autoregressive tar instead of a star type model in our empirical analysis first our empirical evidence fails to reject the unit root hypothesis against the hypothesis of a nonlinear star stationary process based on the test provided by kapetanios shin and snell 2003 1 second the plots of cpi ppi and tpi based real exchange rates in figure 1 show that the tpi based real rate has the largest variation among these three real rates third our empirical evidence rejects the null hypothesis of linearity against tar type nonlinearity and supports the hypothesis that real exchange rates are tar type stationary figure 1 plots of real exchange rates for the uk and new zealand figure omitted see article image several empirical studies have applied a threshold type process to examine the nonlinear mean reversion of real exchange rates obstfeld and taylor 1997 o connell 1998b taylor 2001 sarno taylor and chowdhury 2004

long run purchasing power parity in the 1920s abstract this paper presents an empirical analysis of long run purchasing power parity ppp during the 1920s float using recently developed methodology on the cointegration of economic time series our results are generally supportive of ppp as a long run equilibrium condition on which exchange rates tended to converge over the period for dollar sterling however there is some evidence of a non stationary drift away from fundamentals during the last year or so before britain s return to the gold standard perhaps due to speculation our results also appear to reconcile some apparently conflicting evidence in the literature

pass through of exchange rates and purchasing power parity abstract in this paper we develop and test two hypotheses about purchasing power parity ppp the first is that changes in the price of traded goods relative to domestic substitutes will affect the ppp relation due to the partial pass through of exchange rates the second is that ppp should hold on forward rather than spot exchange rates due to hedging by firms which implies that the interest rate differential should enter the ppp relation for spot rates using quarterly data for several countries we find support for both these hypotheses though the magnitude of the interest rate effect is very small

real exchange rates under the gold standard purchasing power parity is one of the most important equilibrium conditions in international macroeconomics empirically it is also one of the most hotly contested numerous recent studies for example have sought to determine the validity of purchasing power parity using data from the post bretton woods float and have reached different conclusions we assert that most such studies are flawed for two reasons first the post 1973 data contain by definition only a very limited amount of the low frequency information relevant for examination of long run parity second the dynamic econometric techniques used to model deviations from parity are typically quite crude with respect to admissible low frequency dynamics both deficiencies are rectified in the present paper with dramatic results we construct a new data set of 16 real exchange rates covering more than a century of the classic gold standard period and we study deviations from parity using long memory models that allow for subtle forms of mean

arima and cointegration tests of ppp under fixed and flexible exchange rate regimes real exchange rates between the united states and its major trading partners were calculated for the bretton woods and flexible exchange rate periods unit root tests indicate that purchasing power parity performed poorly in both periods tests for cointegration reveal limited instances in which it is possible to estimate the deviations from ppp as an error correcting model the estimated error correcting models indicate that foreign but not u s prices responded to deviations from ppp frenkel s 1981b finding that purchasing power parity ppp worked better during the 1920s than the 1970s caused considerable controversy for example davutyan and pippenger 1985 contend that the socalled collapse of ppp is a result of an increase in the relative importance of real versus monetary shocks they argue that the 1970s as opposed to the 1920s was characterized by real supply shocks and the international coordination of monetary policies the argument is that ppp did not fail rather there was an increase in the volatility of those factors giving rise to deviations from ppp hakkio 1984 reestimated ppp over the 1920s and 1970s using cross country tests i e sure estimates to improve the efficiency of his estimates he was able to support the hypothesis that ppp worked better in the 1970s than in the 1920s on the other hand papers by adler and lehman 1983 dornbusch 1980 frenkel 1981a junge 1985 and krugman 1978 report findings contrary to the ppp hypothesis moreover kenen and rodrik 1986 find that the volatility of real exchange rates has increased throughout the flexible rate period this paper tries to shed some light on the importance and persistence of the observed deviations from purchasing power parity under alternative exchange rate systems while it is interesting to compare ppp in the 1920s versus the 1970s it is equally useful to compare the 1960s versus the 1970s and 1980s if real supply shocks and lack of monetary coordination are characteristic of the latter period ppp should perform better in the 1960s to illustrate the issues involved consider the following econometric model of relative purchasing power

measuring the persistence of deviations from purchasing power parity with a fractionally integrated star model abstract empirically elements of both fractional long memory and threshold non linearity are present in the real exchange rates of the g 7 countries against the us notably in the eu countries estimated half lives of deviations from ppp using median unbiased corrections to conventional linear autoregressive models corroborate existing evidence related to the ppp paradox as half lives range from at least four years to an infinite number of years in contrast for each eu country accounting for threshold non linearity results in estimated half lives that can be less than three years even with the allowance for fractional long memory

long run purchasing power parity during the recent float abstract this paper examines the relevance of long run purchasing power parity ppp which allows for measurement errors during the recent floating exchange rate period previous empirical studies generally fail to find support for long run ppp over this period in this paper in this paper the cointegration property of exchange rates and prices is examined using maximum likelihood procedure and we find significant evidence favorable to long run ppp further tests for symmetry and proportionality indicate that these two conditions are not generally with the data the results support the hypothesis of long run ppp with measurement errors in prices

nominal exchange rate regimes and the real exchange rate abstract two assumptions about the real exchange rate are common in the literature on international finance 1 the real exchange rate is a random walk 2 the time series properties of the real exchange rate depend on the nominal exchange rate regime this paper presents evidence that indicates that the random walk behavior of the real exchange rate is only a characteristic of the post world war ii period moreover our findings also suggest that what is crucial to the real exchange rate behavior is the particular historical period rather than the nominal exchange rate arrangement

beyond the purchasing power parity testing for cointegration and causality between exchange rates prices and interest rates abstract this paper reexamines the causality between the dollar and the yen in a multivariate framework with the aid of cointegration and error correcting modeling for the 1951 94 period the phillips perron tests and johansen s tests are performed while causality from interest rates to exchange rates is found in the short run no causality between prices and exchange rates is found in the short run however causality is found running from relative prices to exchange rates along with interest rates between the u s and japan in the long run which supports the long run ppp hypothesis

cointegration and tests of purchasing power parity nonstationarity in the levels of spot exchange rates and domestic and foreign price indices makes the use of conventional tests of the absolute version of purchasing power parity ppp inappropriate if ppp is true inter country commodity arbitrage ensures that deviations from a linear combination of spot exchange rates and domestic and foreign price levels should be stationary under these conditions exchange rates and price levels should form a cointegrated system we find the null hypothesis of no cointegration cannot be rejected for all five countries thus violating the long run absolute version of ppp

collective consumption and welfare in this paper we present a collective model of household demand based on pareto efficiency in addition we suppose that a each household member is egoistic and consumption is purely private b there is a set of distribution factors and c there is one exclusive good then we derive the testable restrictions that are implied by this theoretical setting and show how welfare comparisons at the individual level can be performed jel classification d11 consommation collective et bien etre dans cet article nous presentons un modele collectif de demande du menage fonde sur l efficacite au sens de pareto en plus nous adoptons les postulats suivants a chaque membre du menage est egoiste et la consommation est purement privee b il existe un ensemble de facteurs de distribution et c il existe un bien exclusif ensuite nous derivons les restrictions theoriques que les demandes du menage doivent satisfaire et nous montrons comment des comparaisons de bien etre au niveau individuel peuvent etre effectuees

understanding the empirical literature on purchasing power parity the post bretton woods era abstract this paper argues that the empirical failure of statistical tests of ppp in post bretton woods data is largely due to the low power of the tests employed this result is demonstrated using monte carlo experiments on the size and power of different testing procedures a new procedure based on horvath and watson econometric theory 11 pp 984 1014 1995 has greater power than previous approaches using the horvath watson procedure we find moderate evidence in favor of ppp in the post bretton woods era

testing long run ppp with infinite variance returns this paper investigates the long run purchasing power parity hypothesis when exchange rate returns and inflation rates are assumed to be heavy tailed stochastic processes more specifically residual based and likelihood ratio based cointegration tests of ppp that explicitly allow for infinite variance innovations are applied to monthly data 1973 1 1999 12 for belgium canada denmark france germany italy japan the netherlands norway spain sweden and the united kingdom our test results are marginally less supportive of ppp when the innovations are assumed to be infinite variance stable processes copyright 2003 john wiley sons ltd

an empirical examination of long run purchasing power parity using cointegration techniques this paper presents an empirical analysis of long run purchasing power parity ppp for five major exchange rates using recently developed econometric techniques on the cointegration of economic time series our empirical results are extremely unfavourable to the ppp hypothesis as a long run equilibrium condition even with an allowance made for measurement error and or tranportation costs in particular we are unable to reject the hypothesis of non cointegration of the exchange rate and relative prices for any of the countries concerned far from finding a stable long run proportionality between exchange rates and relative prices our results therefore suggest that they tend to drift apart without bound

testing symmetry and proportionality in ppp a panel data approach purchasing power parity ppp is a proposition equating the nominal exchange rate to the ratio of the domestic to foreign price levels this article employs bayesian panel data methods to test for ppp in particular the implied symmetry and proportionality conditions using a dataset of all the organization for economic cooperation and development member countries in the post bretton woods era i do not find support for symmetry and proportionality in ppp over time and across countries

is there trend reversion in purchasing power parity abstract this study presents some empirical evidence on purchasing power parity ppp using residualbased co integration tests engle and granger s 1987 tests and the ratio of the variance of higher order differences to the variance of the first difference of the residuals of the cointegrating regression are used monthly data over a span of 30 years do not provide any empirical support to the theory conversely in the annual data long run equilibrium tendencies are evident since ppp has been widely used to provide an anchor for the equilibrium exchange rate our results indicate that such an assumption is not completely inadequate