Quantitative modelling of the EUR/CHF exchange rate during the target zone regime of September 2011 to January 2015

Krugman (1991)'s target zone model for exchange rate dynamics has become the reference of a large part of this literature. Despite its simplicity and elegance, empirical evidence has been lacking, not least because it is difficult to capture the predicted non-linear relationship between the observable exchange rate and the non-observable fundamental value. This is why we propose a different approach. By inverting locally the relation between exchange rate and fundamental value, we derive analytical expressions for the conditional volatility and the probability density as a function of the exchange rate. This allows us to examine Krugman's prediction directly from historical data, and, furthermore, enables us to test the smooth pasting condition, which is intimately related to the no-arbitrage condition. Concretely, we study the performance of the euro/Swiss franc exchange rate in the extraordinary period from September 6, 2011 to January 15, 2015, when the Swiss National Bank enforced a minimum exchange rate of 1.20 Swiss francs per euro. We show that the data are well explained by the theory and conclude that Krugman's target zone model holds after all, but apparently only under extreme and sustained pressure that pushes continuously the exchange rate very close to the boundary of the target zone.     

The Equilibrium Exchange Rate of Mauritius: Evidence from Two Structural Models

In this paper we assess the equilibrium value of the Mauritian rupee in 2006-7 and over the medium run using two structural models. First, we derive a current account-based measure of the exchange rate equilibrium using the macroeconomic balance approach. Second, we estimate a reduced-form fundamental equilibrium exchange rate measure. Our results, which are robust to an alternative non-econometric approach, suggest that the Mauritian rupee was aligned with its equilibrium value in 2006-7 and little adjustment appeared necessary over the medium run.     

Impact of exchange rate regime reform on asset returns in China

Employing monthly data over the period 1999–2010, this paper examines the impact of China's exchange rate regime reform in July 2005 on three major asset markets: house, land, and stocks. We test whether the reform, which switches from a fixed exchange rate regime to a managed floating one, has brought forward structural changes to asset return dynamics. The results suggest that the exchange rate regime switch exerted the most significant impact on house and land returns at the national level, in terms of both returns and their volatilities. In contrast, its impact on China's stock market was moderate, with no structural change being detected in its returns and only weak structural change being found in the dynamics of its volatility. We also find that in comparison with other popular explanatory variables, broad money supply and inflation have the largest explanatory power on housing and land returns in China after the policy reform.     

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.     

An empirical study of portfolio-balance and information effects of order flow on exchange rates

We propose a simple structural model of exchange rate determination which is inspired by the analytical framework recently forward by Bacchetta and van Wincoop (2006) and allows us to disentangle the portfolio-balance and information effects of order flow on exchange rates. We estimate this model employing an innovative transaction data-set that covers all indirect foreign exchange transactions completed in the USD/EUR market via EBS and Reuters between August 2000 and January 2001. Our results indicate that the strong contemporaneous correlation between order flow and exchange rates is largely due to portfolio-balance effects. This result also appears to carry through the four FX intervention events that appear in our sample.     

外汇市场的定单流决定和影响汇率的理论与实证分析

本文从微观外汇市场结构的视角出发,借助于Evans和Lyons（2001）提出的微观外汇市场结构模型,详细剖析微观外汇市场汇率决定的核心变量一一定单流,指出其功能及在汇率决定中的应用。并分别利用美元与马克以及美元与人民币两个货币对的实际数据通过协整、误差修正模型以及最小二乘回归进行了验证,研究结果表明,人民币／美元汇率波动与定单流之间存在长期的均衡关系,但是整体来看人民币／美元定单流的解释能力没有马克／关元定单流的解释能力那么强,说明虽然我国目前已经具备了微观汇率决定理论的部分前提基础条件,但是,我国外汇市场市场机制完善程度较低是制约定单流功能发挥的重要原因。     

Cointegrated Periodically Collapsing Bubbles in the Exchange Rate of “BRICS”

We test the occurrence of periodically recurring rational bubbles in the exchange rate of each of the “BRICS” countries currency relative to the US dollar. The forward exchange rate is used as a proxy for the expected exchange rate, different Purchasing Parity Power (PPP)-based rules for the fundamental exchange rate are considered, and its initial value is endogenously determined. For the chosen model, the regime switching equation satisfactorily fits the data, confirming the presence of rational bubbles for all countries. The dynamics of the exchange rate series for each country is interpreted with the help of the estimated bubbles. The bubbles are compared across countries, found to be cointegrated, and this is interpreted as evidence of the international transmission of exchange rate shocks between these countries.     

Equilibrium exchange rate determination and multiple structural changes

The large appreciation and depreciation of the US Dollar in the 1980s stimulated an important debate on the usefulness of unit root tests in the presence of structural breaks. In this paper, we propose a simple model to describe the evolution of the real exchange rate. We then propose a more general smooth transition (STR) function than has hitherto been employed, which is able to capture structural changes along the (long-run) equilibrium path, and show that this is consistent with our economic model. Our framework allows for a gradual adjustment between regimes and allows for under- and/or over-valued exchange rate adjustments. Using monthly and quarterly data for up to twenty OECD countries, we apply our methodology to investigate the univariate time series properties of CPI-based real exchange rates with both the U.S. Dollar and German Mark as the numeraire currencies. The empirical results show that, for more than half of the quarterly series, the evidence in favor of the stationarity of the real exchange rate was clearer in the sub-sample period post-1980.     

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.     

Structural change in the forward discount: Implications for the forward rate unbiasedness hypothesis

It is a well-accepted empirical result that forward exchange rate unbiasedness is rejected in tests using the “differences regression” of the change in the logarithm of the spot exchange rate on the forward discount. We model the forward discount as an AR(1) process and argue that its persistence is exaggerated due to the presence of structural breaks. We show using a stochastic multiple break model that the forward discount persistence is substantially less if one allows for multiple structural breaks in the mean of the process. We argue that these breaks could be identified as monetary shocks to the central bank's reaction function. Using Monte Carlo simulations, we show that if we do not account for structural breaks that are present in the forward discount process, the forward discount coefficient in the “differences regression” is severely biased downward, away from its true value of 1.     

双边出口全球价值链实际有效汇率弹性理论测度及解析

近年来,汇率与出口弱相关现象引起理论界和实务界的广泛关注。本文通过考虑全球价值链带来的供给侧联系和第三国汇率效应,使用双边出口全球价值链实际有效汇率弹性指标对双边层面的相对价格竞争力与出口关系作出新的测度和结构贡献度分解。研究发现,对相对价格竞争力与出口关系修正后测度的双边出口全球价值链实际有效汇率弹性值显著为负。出口对修正的汇率变动依旧富有弹性。“汇率对出口影响弱化”并没有传统实际有效汇率和双边汇率表现的那么严重,更没有出现“贬值抑制出口”等不符合理论预期的反常情况。双边出口全球价值链实际有效汇率弹性结构分解贡献度结果显示,伴随我国在全球价值链中参与度和地位的提升,中国对主要贸易伙伴出口中由相对价格变动引起中间产品结构变动对总弹性的贡献度不断提升。     

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.     

A structural threshold model of the exchange rate under optimal intervention

By considering a social trade-off between targeting the exchange rate and minimizing intervention costs, nonlinear exchange rate dynamics can be captured by a structural threshold model. This article provides a theory-based empirical exchange rate model and shows how to put the model into an empirical investigation. To estimate the structural threshold model, we propose a two-step procedure which separately estimates the permanent and temporary fundamentals of the foreign exchange market. A demonstration of our approach is applied to 1981Q3-2008Q3 Taiwan’s foreign exchange market, with a brief review of its monetary policies and central bank given prior. Estimation results are consistent with theoretical predictions and many intervention operations of Taiwan’s central bank are successfully identified.     

Monetary policy transmission,interest rate rules and inflation targeting in three transition countries

In 1991, the rate of inflation in the Czech Republic, Hungary and Poland was 57%, 35% and 70%. At the end of 2001, it was everywhere below 8%. We set up a small structural macro model of these three economies to account for the process of disinflation. We show that a simple macro model, with forward-looking inflation and exchange rate expectations, can adequately characterize the relationship between the output gap, inflation, the real interest rate and the exchange rate during this period. This model allows us to assess the relative importance of the interest rate and exchange rate channels in determining the path of disinflation.     

Economic convergence and the fundamental equilibrium exchange rate in central and eastern Europe

The paper presents an extended version of the fundamental equilibrium exchange rate model (FEER), which introduces potential output into foreign trade equations. We show that with this specification and under some plausible assumptions the equilibrium exchange rate is consistent with the behavioral equilibrium exchange model (BEER). We use the extended FEER model to analyze fluctuations of the real exchange rate in four central and eastern European countries. The resulting FEER calculations show that the appreciation of the real exchange rates in these countries in the past nine years is largely an equilibrium phenomenon.     

Which Fundamentals Drive Exchange Rates? A Cross‐Sectional Perspective

Standard present‐value models suggest that exchange rates are driven by expected future fundamentals, implying that exchange rates contain information about future fundamentals. We test this key empirical prediction of present‐value models in a sample of 35 currency pairs ranging from 1900 to 2009. Employing a variety of tests, we find that exchange rates have strong and significant predictive power for nominal fundamentals (inflation, money balances, nominal GDP), whereas predictability of real fundamentals and risk premia is much weaker and largely confined to the post–Bretton Woods era. Overall, we uncover ample evidence that future macrofundamentals drive current exchange rates.     

International order flows: Explaining equity and exchange rate returns

Macroeconomic models of equity and exchange rate returns perform poorly at high frequencies. The proportion of daily returns that these models explain is essentially zero. Instead of relying on macroeconomic determinants, we model equity price and exchange rate behavior based on a concept from microstructure–order flow. The international order flows are derived from belief changes of different investor groups in a two-country setting. We obtain a structural relationship between equity returns, exchange rate returns and their relationship to home and foreign equity market order flow. To test the model we construct daily aggregate order flow data from 800 million equity trades in the U.S. and France from 1999 to 2003. Almost 60% of the daily returns in the S&P100 index are explained jointly by exchange rate returns and aggregate order flows in both markets. As predicted by the model, daily exchange rate returns and order flow into the French market have significant incremental explanatory power for the daily S&P returns. The model implications are also validated for intraday returns.     

Estimating unknown join points: Determination of the yen-dollar exchange rate

We propose a Bayesian procedure to estimate a switching regression in which the number of switching points (i.e. join points) is not known. We apply the Bayesian procedure to a regression model for the yen-dollar exchange rate using monthly data from January 1973 to June 1992. We identify three join points in January 1978, September 1988, and March 1990. We compare the post-sample forecast performances of our switching regression model to those of other regression models. The post-sample forecasts show that the Bayesian switching model performs better than the other models.     

汇率弹性化下人民币汇率波动预测分析

本文选取影响人民币汇率波动的有关结构变量,分别通过线性MA模型和基于遗传算法改进的GABP神经网络模型,对人民币汇率波动进行模拟和预测。通过比较发现,汇率缺乏弹性时期,逐月MA模型的历史拟合和样本外预测效果最优;随着汇率改革的不断推进和汇率弹性化的增强,GABP神经网络模型在汇率波动的模拟和预测方面均有最优表现,故汇率波动预测模型应随汇率弹性及其波动特性不同因时制宜。同时结果表明,汇率弹性化能够加深汇率波动及其结构变量间的均衡关系,利率市场化改革应与汇率市场化改革协调推进。     

External Constraints on Monetary Policy and the Financial Accelerator

We develop a small open economy macroeconomic model where financial conditions influence aggregate behavior. Our goal is to explore the connection between the exchange rate regime and financial distress. We first show that a calibrated version of the model captures well the behavior of the Korean economy during its financial crisis period of 1997–98. In particular, the model accounts for the sharp increase in lending rates and the large drop in output, employment, investment, and measured productivity. The financial market frictions play an important role, further, explaining roughly half the decline in overall economic activity. We then perform some counterfactual exercises to illustrate how the fixed exchange rate regime likely exacerbated the crisis by tying the hands of monetary policy.