Real Interest Rate Parity: Long-Run and Short-Run Analysis Using Wavelets

In this article, long-run and short-run relationships among real interest rates in G-7 countries are empirically analyzed. The evidence suggests the existence of long-run relationships among these real interest rates. However, the long-run relationship is not an equality relationship. Short-run relationships are estimated using dynamic simultaneous equation models. They reveal that the real interest rates of non-U.S. G-7 countries react and adjust to long-run disequilibrium conditions. A more detailed analysis based on wavelet transform indicates the existence of both short-run and long-run relationships; however, strict interest rate parity does not seem to hold true.JEL Classification: C22, E43, G15     

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.     

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.     

Long-run dynamics of official and black-market exchange rates in Latin America

This paper attempts to investigate the long-run dynamic relationship between official and black-market exchange rates for four Latin America markets namely, Argentina, Brazil, Chile, and Mexico. We follow (Moore, M. J., & Phylaktis, K. (2000). Black and official exchange rates in the Pacific Basin: Some tests of dynamic behaviour. Applied Financial Economics, 10, 361–369.) and we distinguish between long-run informational efficiency and short-run predictability in a sense that these notions are compatible with cointegration and error-correction mechanisms (ECM). Our findings indicate a constant black-market premium for each country, which is taken as strong support for long-run informational efficiency between the official and black markets for foreign currency. In addition, the evidence of short-run predictability is not considered as a violation of market efficiency, but it is the outcome of optimal arbitrage by rational economic agents.     

Long-run dynamics of official and black-market exchange rates in Latin America

This paper attempts to investigate the long-run dynamic relationship between official and black-market exchange rates for four Latin America markets namely, Argentina, Brazil, Chile, and Mexico. We follow (Moore, M. J., & Phylaktis, K. (2000). Black and official exchange rates in the Pacific Basin: Some tests of dynamic behaviour. Applied Financial Economics, 10, 361–369.) and we distinguish between long-run informational efficiency and short-run predictability in a sense that these notions are compatible with cointegration and error-correction mechanisms (ECM). Our findings indicate a constant black-market premium for each country, which is taken as strong support for long-run informational efficiency between the official and black markets for foreign currency. In addition, the evidence of short-run predictability is not considered as a violation of market efficiency, but it is the outcome of optimal arbitrage by rational economic agents.     

Common Stochastic Trends in a System of Exchange Rates

Univariate tests reveal strong evidence for the presence of a unit root in the univariate time-series representation for seven daily spot and forward exchange rate series. Furthermore, all seven spot and forward rates appear to be cointegrated; that is, the forward premiums are stationary, and one common unit root, or stochastic trend, is detectable in the multivariate time-series models for the seven spot and forward rates, respectively. This is consistent with the hypothesis that the seven exchange rates possess one long-run relationship and that the disequilibrium error around that relationship partly accounts for subsequent movements in the exchange rates.     

New evidence on the monetary approach of exchange rate determination in Mexico 1994–2007: A cointegrated SVAR model

We provide empirical evidence supporting the validity of both short and long run versions of the Monetary Approach of Exchange Rate determination for the Mexican peso–U.S. dollar exchange rate from 1994 to 2007 using a cointegrated SVAR model. We estimate not only the long-run relationship, between the variables of the monetary model for the exchange rate, but also the very short run effects which have been often ignored in previous empirical work. We show that there are robust short and long-run relationships between the Mexican monetary aggregates and the exchange rate, which ultimately responds to what Bilson's variant of MAER predicts.     

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.     

Macroeconomic shocks, structural change and real exchange rates: Evidence from historical data

We present empirical evidence on the forces driving real exchange rates in the long-run. Using data from the US, UK and Italy across different exchange rate regimes, we find support for the hypothesis that productivity and fiscal shocks matter. However, in some cases fiscal shocks cause depreciations, likely triggered by the monetary accommodation of fiscal shocks. We also find that the traditional Harrod–Balassa–Samuelson effect of productivity on real exchange rates is reversed in some cases, which confirms the importance of the distributive sector in driving productivity gains.     

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.     

Distribution of parallel exchange rates in African countries

This paper investigates the distribution of parallel exchange rates in African countries using exploratory data analysis techniques and model fitting. Stable laws are fitted to empirical distributions using the maximum likelihood estimation method. Empirical evidence supports the stable hypothesis these distributions are positively skewed and have tails that are much heavier than Gaussian counterparts. The stable hypothesis is further supported by the “converging variance test,” which suggests that these distributions have infinite variance.     

National price levels, purchasing power parity, and cointegration: a test of four high inflation economies

The time series properties of exchange rates and wholesale prices from four high inflation countries show some evidence in support of purchasing power parity. Tests for stationarity of real exchange rates and cointegration among price and exchange rate variables are presented for Argentina, Brazil, Chile, and Israel during the 1970s and 1980s. Error correction models describe the mechanism of adjustment to long-run equilibrium.     

Long-memory and heterogeneous components in high frequency Pacific-Basin exchange rate volatility

Recent research examining high-frequency financial data has suggested that volatility dynamics may be confounded by the existence of an intra-day periodic pattern and multiple sources of volatility. This paper examines whether these dynamics are present in the US Dollar exchange rates of five Pacific Basin economies. Using 30-min sampled returns, evidence of a ‘U’-shape intra-day pattern in volatility for regional markets is reported and controlled for using a Flexible Fourier transform. Supportive evidence for the existence of multiple volatility components is offered by semi-parametric fractional difference estimates of the long-memory properties of absolute exchange rate returns at various intra-day data sampling frequencies. Further parametric evidence of an explicit component structure in such high frequency exchange rate volatility is offered by the estimates of a component-GARCH model which comprises both a long-run volatility component exhibiting slow shock decay and a short-run volatility component exhibiting far more rapid decay, and provides a generally superior fit to the data. Further application of these C-GARCH models in the analysis of high frequency volatility spillovers between the currencies considered also reveals that such spillovers are predominantly transitory rather than highly persistent in nature, but that where volatility spillovers do impact on the long-run component of exchange rate volatility the Australian Dollar plays a pivotal role in the localised causality transmission mechanism.      

Mussa redux and conditional PPP

The extreme persistence of real exchange rates found commonly in post-Bretton Woods data does not hold in the preceding fixed exchange rate period, when the half-life was roughly half as large in our sample. This finding supports sticky price models as an explanation for real exchange rate behavior, extending the classic argument of Mussa (1986) from a focus on short-run volatility to long-run dynamics. Two thirds of the rise in real exchange rate variance observed across exchange rate regimes is attributable to greater persistence of responses to shocks, including greater price stickiness, rather than to greater variance of shocks themselves.     

Exchange rate regimes and prices: The cases of Italy,Spain and the United Kingdom (1874–1998)

This paper studies the relationship among Italian, Spanish and United Kingdom prices over the period 1874–1998, for most of which the currencies of these three countries maintained a floating exchange rate regime. By using cointegration techniques with broken linear trends, we find a single vector for the period 1874–1935 and two vectors and, consequently, a single common trend for the period 1940–1998. Therefore, this paper provides new evidence of no long-run monetary independence under floating regimes. Furthermore, the price differential dynamics captured by deterministic trends in the period 1940–1998, as well as agreeing with the evidence of long-run transmission of interest rates in the floating post-Bretton Woods era, fit in perfectly with the new de facto taxonomies on 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.     

Purchasing power parity and the behavior of prices and nominal exchange rates across exchange-rate regimes

The evidence presented in this paper shows that purchasing power parity as a long-run proposition is indeed a very useful approximation. We see this quite clearly in the panel data for three historical periods examined here – the classical gold standard era from 1870 to 1914, the interwar period from 1921 to 1939, and the period after World War II from 1959 to 1998. Price-level behavior across countries differs in the way that PPP suggests when monetary arrangements differ and is highly similar when monetary arrangements are themselves similar. Inflation rates adjusted for exchange rate changes in general are highly correlated and bear a one-to-one relation to one another within and across the three periods and the varied monetary regimes that prevailed.     

Investor sentiment in the US-dollar: Longer-term,non-linear orientation on PPP

How is it possible that exchange rates move in the long run towards fundamentals, while professionals form consistently irrational exchange rate expectations? We look at this puzzle from a different perspective by analyzing investor sentiment in the US-dollar market. First, long-horizon regressions show that investor sentiment is connected with exchange rate returns at longer horizons, i.e. more than two years. Second, sentiment is cointegrated with fundamentals, whereas third, this relation becomes stronger, the larger exchange rate's misalignment from long-run PPP. In sum, investor sentiment's behavior in the US-dollar market closely matches with established facts of empirical exchange rate research.     

The dynamics of economic growth,oil prices,stock market depth,and other macroeconomic variables: Evidence from the G-20 countries

This paper examines the linkages between economic growth, oil prices, depth in the stock market, and three other key macroeconomic indicators: real effective exchange rate, inflation rate, and real rate of interest. We employ a panel vector autoregressive model to test Granger causality for the G-20 countries over the period 1961–2012. A novel approach to this study is that we clearly demarcate the long-run and short-run relations between the economic variables. The results show a robust long-run economic relationship between economic growth, oil prices, stock market depth, real effective exchange rate, inflation rate, and real rate of interest. In the long run, real economic growth is found to respond to any deviation in the long-run equilibrium relationship that is found to exist between the different measures of stock market depth, oil prices, and the other macroeconomic variables. In the short run we find a complex network of causal relationships between the variables. While the empirical evidence of short-run causality is mixed, there is clear evidence that real economic growth responds to various measures of stock market depth, allowing for real oil price movements and changes in the real effective exchange rate, inflation rate, and real rate of interest.     

Long memory or structural breaks: can either explain nonstationary real exchange rates under the current float?

This paper considers two potential rationales for the apparent absence of mean reversion in real exchange rates in the post-Bretton Woods era. We allow for (i) fractional integration and (ii) a double mean shift in the real exchange rate process. These methods, applied to CPI-based rates for 17 countries and WPI-based rates for 12 countries, demonstrate that the unit-root hypothesis is robust against both fractional alternatives and structural breaks. This evidence suggests rejection of the doctrine of absolute long-run purchasing power parity during the post-Bretton Woods era.