Smooth breaks and non-linear mean reversion: Post-Bretton Woods real exchange rates

The recent literature on Purchasing Power Parity (PPP) has emphasized the role of two phenomena that may lead to the rejection of the PPP hypothesis: structural breaks and non-linear adjustment induced by transaction costs. These two hypotheses are analyzed separately in the literature. We develop tests for unit roots that account jointly for structural breaks and non-linear adjustment. Structural breaks are modeled by means of a Fourier function that allows for infrequent smooth temporary mean changes and is hence compatible with long-run PPP. Nonlinear adjustment is modeled by means of an ESTAR model. Our tests present good finite sample properties. The tests are applied to a set of 15 OECD countries' RERs and are able to reject the null of a unit root in 14 cases. The breaks are usually associated with the great appreciation and later depreciation of the dollar in the 1980s and the ESTAR adjustment appears to play an important role.     

Inflation Differentials between Spain and the EMU: A DSGE Perspective

This paper estimates a dynamic stochastic general equilibrium model of a currency union with nominal rigidities to explain the sources of inflation differentials between the Economic Monetary Union (EMU) and one of its member countries, Spain. The paper finds that productivity shocks account for 85% of the variability of the inflation differential. Demand shocks explain a large fraction of output growth volatility but not variability in inflation differentials. In addition, the estimated model finds evidence that inflation dynamics are different across countries in the nontradable sector only. Finally, the Balassa–Samuelson effect does not appear to be an important driver of the inflation differential during the EMU period.     

Nonlinear exchange rate predictability

We study whether the nonlinear behavior of the real exchange rate can help us account for the lack of predictability of the nominal exchange rate. We construct a smooth nonlinear error-correction model that allows us to test the hypotheses of nonlinear predictability of the nominal exchange rate and nonlinear behavior on the real exchange rate in the context of a fully specified cointegrated system. Using a panel of 19 countries and three numeraires, we find evidence of nonlinear predictability of the nominal exchange rate and of nonlinear mean reversion of the real exchange rate. Out-of-sample Theil’s U -statistics show a higher forecast precision of the nonlinear model than the one obtained with a random walk specification. Although the robustness of the out-of-sample results over different forecast windows is somewhat limited, we are able to obtain significant predictability gains—from a parsimonious structural model with PPP fundamentals—even at short-run horizons.     

Do central banks respond to exchange rate movements? A structural investigation

We estimate a small-scale, structural general equilibrium model of a small open economy using Bayesian methods. Our main focus is the conduct of monetary policy in Australia, Canada, New Zealand and the UK. We consider generic Taylor-type rules, where the monetary authority reacts in response to output, inflation, and exchange-rate movements. We perform posterior odds tests to investigate the hypothesis whether central banks do target exchange rates. The main result of this paper is that the central banks of Australia and New Zealand do not, whereas the Bank of Canada and the Bank of England do include the nominal exchange rate in its policy rule. This result is robust for various specification of the policy rule. We also find that terms-of-trade movements do not contribute significantly to domestic business cycles.     

The U.S. current account deficit and the expected share of world output

We investigate the possibility that the large current account deficits of the U.S. are the outcome of optimizing behavior. We develop a simple long-run world equilibrium model in which the current account is determined by the expected discounted present value of its future share of world GDP relative to its current share of world GDP. The model suggests that under some reasonable assumptions about future U.S. GDP growth relative to the rest of the advanced countries—more modest than the growth over the past 20 years—the current account deficit is near optimal levels. We then explore the implications for the real exchange rate. Under some plausible assumptions, the model implies little change in the real exchange rate over the adjustment path, though the conclusion is sensitive to assumptions about tastes and technology. Then we turn to empirical evidence. A test of current account sustainability suggests that the U.S. is not keeping on a long-run sustainable path. A direct test of our model finds that the dynamics of the U.S. current account—the increasing deficits over the past decade—are difficult to explain under a particular statistical model (Markov-switching) of expectations of future U.S. growth. But, if we use survey data on forecasted GDP growth in the G-7, our very simple model appears to explain the evolution of the U.S. current account remarkably well. We conclude that expectations of robust performance of the U.S. economy relative to the rest of the advanced countries is a contender—though not the only legitimate contender—for explaining the U.S. current account deficit.     

Have the GIPSI settled down? Breaks and multivariate stochastic volatility models for,and not against,the European financial integration

We investigate the integration of the European peripheral financial markets with Germany, France, and the UK using a combination of tests for structural breaks and return correlations derived from several multivariate stochastic volatility models. Our findings suggest that financial integration intensified in anticipation of the Euro, further strengthened by the EMU inception, and amplified in response to the 2007/2008 financial crisis. Hence, no evidence is found of decoupling of the equity markets in more troubled European countries from the core. Interestingly, the UK, despite staying outside the EMU, is not worse integrated with the GIPSI than Germany or France.     

Current account sustainability in the US: What did we really know about it?

We analyze the sustainability of the US current account (CA) deficit by means of unit-root tests. First, we argue that there are several reasons to believe that the CA may follow a non-linear mean-reversion behavior under the null of stationarity. Using a non-linear ESTAR model we can reject the null of non-stationarity favoring the sustainability hypothesis. Second, we ask whether unit-root tests are a useful indicator of sustainability by comparing in-sample results for the 1960–2004 period to the developments observed up to the end of 2008. We find that the non-linear model outperforms the linear and random walk models in terms of forecast performance. The large shocks to the CA observed in the last five years induced a faster speed of mean reversion, ensuring the necessary adjustment to meet the inter-temporal budget constraint.     

On the Relationship between Domestic Saving and the Current Account: Evidence and Theory for Developing Countries

We examine the relationship between domestic saving and the current account in developing countries. Our three main findings are that: (i) domestic saving has a small effect on the current account; (ii) domestic saving has a significant positive effect on the trade balance—this effect is much larger than the effect that domestic saving has on the current account; and (iii) domestic saving has a significant negative effect on net-current transfers. We use countries in the SSA region during the period 1980-2009 as a laboratory for an instrumental variables (IV) approach. The IV approach enables to obtain estimates of causal effects. Underlying the IV approach is the significant positive first-stage response of domestic saving to plausibly exogenous annual rainfall: an unanticipated, transitory supply-side shock. We construct a small open-economy DSGE model with debt adjustment costs and endogenous current transfers to match the empirical findings. The model enables to examine the relationship between domestic saving and the current account for different types of shocks. An important message of our paper is that, for developing countries, estimates of the relationship between domestic saving and domestic investment are not informative for answering the question how domestic saving affects a country's accumulation of net foreign assets.     

Uncovering the Hit List for Small Inflation Targeters: A Bayesian Structural Analysis

We estimate underlying structural macroeconomic policy objectives of three of the earliest explicit inflation targeters within the context of a small open economy dynamic stochastic general equilibrium model. We assume central banks set policy optimally, such that we can reverse engineer policy objectives from observed time series data. Joint tests of the posterior distributions of these policy preference parameters suggest that the central banks are very similar in their overall objective. None of the central banks show a concern for stabilizing the real exchange rate. All three central banks share a concern for minimizing the volatility in the change in the nominal interest rate. We also show that the resulting optimal policy rule responds to exchange rate movements, even in the case where the central banks do not explicitly care about exchange rate stabilization. This result is also corroborated by results from an alternative simple-rule characterization and estimation of central bank behavior. These last two findings point to the pitfalls of making inferences, from the level of ad hoc simple rules, about what central banks may care about.     

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.     

Detecting structural breaks and identifying risk factors in hedge fund returns: A Bayesian approach

Extending previous work on asset-based style factor models, this paper proposes a model that allows for the presence of structural breaks in hedge fund return series. We consider a Bayesian approach to detecting structural breaks occurring at unknown times and identifying relevant risk factors to explain the monthly return variation. Exact and efficient Bayesian inference for the unknown number and positions of the breaks is performed by using filtering recursions similar to those of the forward–backward algorithm. Existing methods of testing for structural breaks are also used for comparison. We investigate the presence of structural breaks in several hedge fund indices; our results are consistent with market events and episodes that caused substantial volatility in hedge fund returns during the last decade.     

In search of the liquidity effect in a modern monetary model

This paper examines the impact of a monetary policy shock in a dynamic stochastic general equilibrium model with sticky prices and financial market frictions. First, we examine the shortcomings of monetary models emphasizing these frictions individually. The model then is specified to limit the response of prices and savings to a current period monetary disturbance. Our results show that this model can account for the following key responses to an expansionary monetary policy shock: a fall in the nominal interest rate; a rise in output, consumption, and investment; and a gradual increase in the price level. Finally, a detailed sensitivity analysis shows the model's results depend on the parameters assigned to critical structural features.     

Macroeconomic sources of foreign exchange risk in new EU members

We address the issue of foreign exchange risk and its macroeconomic determinants in several new EU members. We derive the observable macroeconomic factors—consumption and inflation—using the stochastic discount factor (SDF) approach. The joint distribution of excess returns in the foreign exchange market and the factors are modeled using a multivariate GARCH-in-mean specification. Our findings show that both real and nominal factors play important roles in explaining the variability of the foreign exchange risk premium. Both types of factors should be included in monetary general equilibrium models employed to study excess returns. To contribute to the further stability of domestic currencies, the new EU members should strive to implement stabilization policies aimed at achieving nominal as well as real convergence with the core EU members.     

Taylor rules and the Canadian–US equilibrium exchange rate

This paper identifies the Canadian–US equilibrium exchange rate based on a simple structural model of the real exchange rate, in which monetary policy follows a Taylor-rule interest rate reaction function. The exchange rate is explained by relative output and inflation as observable variables, and by unobserved equilibrium rates as well as unobserved transitory components in output and the exchange rate. Using Canadian data over 1974–2009 we jointly estimate the unobserved components and the structural parameters using the Kalman filter and Bayesian technique. We find that Canada's equilibrium exchange rate evolves smoothly and follows a trend depreciation. The transitory component is found to be very persistent but much more volatile than the equilibrium rate, resulting in few but prolonged periods of currency misalignments.     

Testing for international equity market integration using regime switching cointegration techniques

Using MSCI total return index data, this paper analyses the degree of international equity market integration using modern cointegration techniques. The existence of a long run equilibrium across equity markets is important since it implies a violation of weak form market efficiency. Short run deviations away from equilibrium can be expected to reverse, thereby implying a degree of market predictability. This analysis adds to the existing literature by considering a regime switching cointegration relationship that allows for multiple structural breaks over time. The analysis provides scant evidence in favour of market integration with a single regime treatment. There is, however, significant evidence to support a two-regime Markov switching long-run equilibrium relationship that has evolved since the 1970s.     

Transmission of government default risk in the eurozone

This paper analyzes the reasons behind the rising ten year government bond spreads in the eurozone during the recent euro debt crisis. We develop a structural vector autoregressive model that allows us to test whether the upsurges in the spreads reflect breaks in the instantaneous shock propagation mechanisms between the spreads (contagion), changing dynamical effects, or changing country specific risk factors. Especially, a new approach to test the stability of the instantaneous shock propagation mechanisms is introduced. Our results show that although contagion appears as the single most important reason for the increasing spreads, there are notable differences between the countries, for example and Ireland, Spain and Italy see statistically significant increases in their country specific risk factors.     

Inflation risk and international asset returns

We show that inflation risk is priced in international asset returns. We analyze inflation risk in a framework that encompasses the International Capital Asset Pricing Model (ICAPM) of Adler and Dumas (1983). In contrast to the extant empirical literature on the ICAPM, we relax the assumption that inflation rates are constant. We estimate and test a conditional version of the model for the G5 countries (France, Germany, Japan, the UK, and the US) over the period 1975–1998 and find evidence of statistically and economically significant prices of inflation risk (in addition to priced nominal exchange rate risk). Our results imply a rejection of the restrictions imposed by the ICAPM. In an extension of our analysis to 2003, we show that even after the termination of nominal exchange rate fluctuations in the euro area in 1999, differences in inflation rates across countries entail non-trivial real exchange rate risk premia.     

Long memory versus structural breaks in modeling and forecasting realized volatility

We explore the possibility of structural breaks in the daily realized volatility of the Deutschemark/Dollar, Yen/Dollar and Yen/Deutschemark spot exchange rates with observed long memory behavior. We find that structural breaks in the mean can partly explain the persistence of realized volatility. We propose a VAR-RV-Break model that provides superior predictive ability when the timing of future breaks is known. With unknown break dates and sizes, we find that a VAR-RV-I(d) long memory model provides a robust forecasting method even when the true financial volatility series are generated by structural breaks.     

Credit rating dynamics in the presence of unknown structural breaks

In many credit risk and pricing applications, credit transition matrix is modeled by a constant transition probability or generator matrix for Markov processes. Based on empirical evidence, we model rating transition processes as piecewise homogeneous Markov chains with unobserved structural breaks. The proposed model provides explicit formulas for the posterior distribution of the time-varying rating transition generator matrices, the probability of structural break at each period and prediction of transition matrices in the presence of possible structural breaks. Estimating the model by credit rating history, we show that the structural break in rating transitions can be captured by the proposed model. We also show that structural breaks in rating dynamics are different for different industries. We then compare the prediction performance of the proposed and time-homogeneous Markov chain models.     

Investigating nonlinearities in real exchange rate adjustment: Threshold cointegration and the dynamics of exchange rates and relative prices

Motivated by growing evidence of nonlinear mean-reverting behavior in real exchange rates, this paper investigates the underlying dynamics in the context of a threshold vector error correction model (TVECM) of nominal exchange rate and relative prices. Unlike univariate models, our nonlinear multivariate framework takes into explicit account the joint behavior and individual dynamics of the nominal exchange rate and relative prices when these two key variables are threshold cointegrated. Our empirical application unravels their relative contribution to mean reversion and underscores the importance of capturing their interactions in investigating the nonlinear adjustment toward purchasing power parity.