Re-examining Cointegration, Unit Roots and Efficiency in Foreign Exchange Rates

This paper examines the cointegrating relationships in seven foreign exchange rates for a sample period from 1974 to 1991 by utilizing Johansen's (1991) method. Three subperiods are also examined to confirm the intertemporal stability of the test results. In addition, subgroups of the seven exchange rates are analyzed to determine the consistency of the empirical results with respect to different dimensions in the system. We find that the test results are sensitive to the choice of test statistics, time trends, subperiods as well as subgroups. All results indicate either one or no cointegrating relationship exists. Further, we study time series properties of twenty one cross-currency rates and the corresponding exchange rates in terms of a common currency. None of cross-currency rates are stationary and hence the pairs of exchange rates are not cointegrated.     

Cointegration test of oil price and us dollar exchange rates for some oil dependent economies

This study examines the long-run dynamics between oil price and the bilateral US dollar exchange rates for a group of oil-dependent economies before and after the 2008–2009 Global Financial Crises. Exchange rates are for the euro, Indian rupee, Russian ruble, South African rand, Ghanaian cedi and the Nigerian naira. The dependence on crude oil of these economies is either because fiscal revenues are primarily reliant on oil export receipts or because industrial production is heavily dependent on petroleum. Empirical results show evidence of a long run equilibrium relationship between oil price and exchange rate, especially for currencies of the key oil-exporting countries. This relationship is more evident in the post crisis period, which is also the period when both exchange rate volatility and the inverse relationship between oil price and exchange rate experienced a significant increase.     

The Forward Exchange Rate Bias Puzzle Is Persistent: Evidence from Stochastic and Nonparametric Cointegration Tests

An important puzzle in international finance is the failure of the forward exchange rate to be a rational forecast of the future spot rate. We document that even after accounting for nonstationarity, nonnormality, and heteroskedasticity using parametric and nonparametric tests on data for over a quarter century, U.S. dollar forward rates for the major currencies (the British pound, Japanese yen, Swiss franc, and the German mark) are generally not rational forecasts of future spot rates. These findings deepen the forward exchange rate bias puzzle, especially as these markets are the most liquid foreign exchange markets with very low trading costs.     

On Cointegration and Exchange Rate Dynamics

Baillie and Bollerslev (1989) have recently argued that nominal dollar spot exchange rates are cointegrated. Here we examine an immediate implication of their finding, namely, that cointegration implies an error-correction representation yielding forecasts superior to those from a martingale benchmark, in light of a large earlier literature highlighting the predictive superiority of the martingale. In an out-of-sample forecasting exercise, we find the martingale model to be superior. We then perform a battery of improved cointegration tests and find that the evidence for cointegration is much less strong than previously thought, a result consistent with the outcome of the forecasting exercise.     

Asymmetric Cointegration,Nonlinear ARDL,and the J-Curve: A Bilateral Analysis of China and Its 21 Trading Partners

This article follows the nonlinear Autoregressive Distributed Lag (ARDL) error-correction methodology to explore nonlinearity in the relationship between the trade balances and the real exchange rates for China and its 21 partners. We find evidence for short-run asymmetric effects of exchange rate in cases of 18 partners, short-run adjustment asymmetry in cases of 11 partners, short-run cumulative asymmetry in cases of seven partners, and a significant long-run asymmetric effect cases of five partners. We find support for the “J-curve” that is only due to appreciation or depreciation of the Yuan in cases of five partners, including the U.S.     

Real exchange rates and nontradables: A relative price approach

In this paper, we study long-run comovements of real exchange rates and relative prices of nontradables and tradables. This approach is complementary to many existing approaches to investigating real exchange rate movements. In many theoretical models of exchange rate determination, the relative prices of nontradables and tradables are linked to the real exchange rates by identities. However, they do not necessarily move with real exchange rates in reality because of many factors. For example, many tradables contain nontradable components in the form of retailing services, so that Purchasing Power Parity (PPP) may not hold for these tradable goods even in the long run. Hence real exchange rates may not move in the direction predicted by theoretical models when the producers of these tradable goods experience changes in productivity. In this paper, we identify time periods, countries and relative price measures for which comovements between real exchange rates and relative prices of nontradables and tradables are observed.     

Fisher Hypothesis Revisited: A Fractional Cointegration Analysis

This paper investigates the validity of the Fisher hypothesis using data from thirtythree developed and developing countries. Conventional cointegration tests do not provide strong evidence for a relation between nominal interest rates and inflation. Therefore, we use fractional cointegration analysis to test the long-run relationship between the two variables. The results indicate that a long-run relation between nominal interest rates and inflation does not appear for most countries in the sample when the conventional cointegration test is employed. However, fractional cointegration between the two variables is found for a large majority of countries, implying the validity of the Fisher hypothesis. The results also indicate that the equilibrium errors display long memory.     

Beyond the purchasing power parity: testing for cointegration and causality between exchange rates, prices, and interest rates

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.     

Asymmetry in the effects of economic fundamentals on rising and falling exchange rates

Empirical research provides evidence for exchange rates overreaction to changes in economic fundamentals over a short run, but convergence in a long run. In this research we use statistical method developed by Cox [Cox, D.R., “Regression models and life-tables,” Journal of the Royal Statistical Society. Series B (Methodological), Vol. 34, Iss. 2 (1972), 187-220.] to examine the differences in the effects of local economic fundamentals on the probability of occurrence of extreme fluctuations in exchange rates over time periods of rising and falling exchange rates. We identify an extreme fluctuation as a 10% decrease or increase in exchange rate over a three month period and 20% over a one year period. We find asymmetry in the effects of economic fundamentals on exchange rates (eight countries' exchange rates quoted as f/$) during time periods of rising and falling exchange rates: the probability of extreme fluctuation is greater during time periods of rising exchange rates as compared to falling.     

An Examination of the Short-Term and Long-Term Behavior of Foreign Exchange Rates

This study employs the heteroskedasticity-robust variance ratio test and the modified rescaled range analysis to examine the short-term and long-term behavior of foreign exchange rates. The empirical results suggest that four of the five weekly nominal exchange rates examined exhibit short-term dependence. Further, there is evidence of long-term dependence in the nominal exchange rate series. The results also indicate that the real exchange rates generally exhibit short-term independence, and the lack of strong evidence in favor of long-term dependence in real exchange rates indicates that the purchasing power parity may not hold in the long run.     

Interest Rates and Exchange Rate Movements: Analyzing Short-term Investments in Long-term Bonds

Tests of the uncovered interest rate parity (UIP) are subject to various data problems when long-term interest rates are applied: due to the long investment period, time intervals for measuring exchange rate movements are usually overlapping and therefore not independent. This shortfall can be prevented by considering short-term investments in long-term bonds instead of investments to maturity. This article analyzes the explanatory power of long-term interest rates with regard to 1- and 3-month exchange rate movements by relating return differences from 1- and 3-month investments in domestic and foreign 10-year government bonds to nine different exchange rates. From a Swiss perspective, there is only weak support for an interrelation between return differences and the corresponding exchange rate movements, whereas from a US perspective, the resulting estimates are much more in line with UIP.The reader may for instance consider Engel (1996) and Froot and Thaler (1990).     

An empirical inquiry into the short-run dynamics of output,prices and exchange market pressure

In this paper we develop a short-run disequilibrium model for the interaction of output, prices and exchange-market pressure. In this model we consider the trade-off between movements in exchange rates and movements in international reserves and we also incorporate and test purchasing power parity as a long-run hypothesis. The specification adopted preserves the properties of the monetary approach to exchange rates and the balance of payments in the long run. The theoretical model is applied to the small open economy of Greece for the period 1975–1981.     

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.     

Do long-term swings in the dollar affect estimates of the risk premia?

Foreign exchange returns exhibit behavior difficult to reconcilewith standard theoretical models. This article asks whetherthe recent findings of long swings in exchange rates betweenappreciating and depreciating periods affect estimates of theforeign exchange risk premium. We demonstrate how the 'pesoproblem' introduced by expected shifts in exchange rate regimescan affect inferences about the risk premium in at least twoways: (1) it can make the foreign exchange risk premium appearto contain a permanent disturbance when it does not; and (2)it can induce bias in the foreign exchange return regressionssuch as in Fama (1984).     

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.     

Long memory and nonlinear mean reversion in Japanese yen-based real exchange rates

The extraordinary difficulty in uncovering parity reversion in yen-based real exchange rates has often been ascribed to a missing trend variable. This study identifies an alternative explanation and shows that the puzzling behavior of real yen rates may stem from long-memory dynamics, which undermine unit-root tests in their ability to detect mean reversion. The long-memory findings are consistent with the long swings in yen exchange rates during the current float. Further analysis also reveals evidence of non-monotonic reversion toward parity.     

Is the relationship between prices and exchange rates homogeneous?

Empirical tests of purchasing power parity (PPP) are implicitly based on the conditions of symmetry and proportionality of the price coefficients. We investigate a separate condition, which we term homogeneity. Specifically, while there may be factors that drive a wedge between prices and exchange rates, when these factors are held constant we would expect a change in exchange rates to be associated with a proportional, or homogeneous, change in prices. To test for the existence of homogeneity in prices, we conduct two experiments. First, we apply a time-varying-coefficient procedure to nine euro-area countries as well as the euro area as a whole during the (monthly) sample period, 1999:M1 to 2011:M3. Second we apply the same procedure to the same group of countries, plus Canada, Japan and Mexico, over the longer period, 1957:M4 to 2011:M3. We find that averages of the price coefficients, corrected for specification biases, are uniformly homogeneous in the long run, providing strong support for PPP.     

Fractional Cointegration Analysis of Securitized Real Estate

This paper uses fractional cointegration analysis to examine whether long-run relations exist between securitized real estate returns and three sets of variables frequently used in the literature as the factors driving securitized real estate returns. That is, we examine whether such relationships are characterized by long memory (long-range dependence), short memory (short-range dependence), mean reversion (no long-run effects) or no mean reversion (no long-run equilibrium). The forecasting implications are also considered. Empirical analyses are conducted using data for the U.S., the U.K., and Australia. We find strong evidence of fractional cointegration between securitized real estate and the three sets of variables. Such relationships are mainly characterized by short memory although long memory is sometimes present. The use of fractional cointegration for forecasting purposes proves particularly useful since the start of the financial crisis.     

Cointegration and causality in the Asian and emerging foreign exchange markets: Evidence from the 1990s financial crises

This article examines the cointegration level, changes in the existence and directions of causality of the foreign exchange (FX) rates in the Asian and emerging markets during the 1990s financial crises. Engle and Granger's simple bivariate and Johansen's multivariate cointegrations are applied to the FX rates for the 1994 Mexican, 1997 Asian, 1998 Russian, and 1999 Brazilian crises. In addition, the article conducts the Granger causality test and impulse response analysis to examine the causality pattern in all the FX rates. The analysis shows most of the pre-Mexican causality disappears and significant numbers of new causality emerge in the 1994 Mexican crisis while the 1997 Asian crisis generates significant spillover effects into the later part of the 1998 Russian and 1999 Brazilian crises.     

Modelling the nonlinear relationship between oil prices,stock markets,and exchange rates in oil-exporting and oil-importing countries

This article investigates the multivariate dependence between oil prices, equity markets, and exchange rates in certain oil-importing and oil-exporting countries by applying the vine copulas approach which offers a greater flexibility and permits the modelling of complex dependency patterns for high-dimensional distributions. Our results show that the dependence between oil and exchange rates is significantly negative during different periods of analysis, except for the British Pound and Japanese Yen exchange rates. This result indicates that oil may serve as a weak hedge against exchanges rates.