A fractional cointegration var analysis of exchange rate dynamics

In their seminal work, Baillie and Bollerslev (1994) carried out an analysis of deviations from the cointegrating relationship of seven important exchange rates. They suggested that the exchange rate series possess long memory and therefore such processes could be well described as fractionally integrated processes. Hence, the influence of shocks to the equilibrium exchange rates may only vanish at very long horizons. In this work we analyze the cointegrating structure of five exchange rates to the US dollar, namely the British pound, the Euro, the Swedish Krona, the Canadian Dollar and the Swiss Franc. The series possess long memory and we show that they can be modeled through fractional integration. In fact, standard cointegration is rejected with the more traditional Johansen CVAR methodology. By using the recently introduced Fractionally Cointegrated VAR by Johansen and Nielsen (2012) we provide a cointegrating relationship taking into account fractional integration.     

分形市场中的汇率协整关系

本文将混沌与分形运用到汇率研究中,运用R/S方法研究了外汇收益率的长记忆性,并将传统的协整理论推广到广义的分数维协整,研究了时间序列之间的长期均衡关系,并以外汇市场中的欧元和新加坡元兑美元的汇率为例进行了实证分析,指出这两种货币收益率服从分形分布,具有相同的分整阶数且二者存在分数维协整关系。     

An empirical investigation of U.S. bank risk and the Mexican peso crisis

This paper examines two pairs of hypotheses about the effect of the Mexican Peso crisis on U.S. bank stock returns. We use a three-index market model as our empirical methodology because bank stocks are influenced more by both interest rate risk and foreign exchange risk than other non-banking stocks. The results show that the market reacted to each event promptly, supporting semi-strong market efficiency. To find out whether these effects created a domino effect in the U.S. banking system, a set of cross-sectional regressions were run. In general, the empirical results support the investor-contagion hypothesis, which indicates that the market penalized or rewarded banks without regard to their ecposure to the market for Mexican loans.     

Forecasting risk in the US Dollar exchange rate under volatility shifts

Recent evidence suggests that volatility shifts (i.e. structural breaks in volatility) in returns increases kurtosis which significantly contributes to the observed non-normality in market returns. In this paper, we endogenously detect significant shifts in the volatility of US Dollar exchange rate and incorporate this information to estimate Value-at-Risk (VaR) to forecast large declines in the US Dollar exchange rate. Our out-of-sample performance results indicate that a GARCH model with volatility shifts produces the most accurate VaR forecast relative to several benchmark methods. Our contribution is important as changes in US Dollar exchange rate have a substantial impact on the global economy and financial markets.     

The Likelihood Ratio Test for the Rank of a Cointegration Submatrix*

This paper proposes a likelihood ratio test for rank deficiency of a submatrix of the cointegrating matrix. Special cases of the test include the one of invalid normalization in systems of cointegrating equations, the feasibility of permanent–transitory decompositions and of subhypotheses related to neutrality and long‐run Granger noncausality. The proposed test has a chi‐squared limit distribution and indicates the validity of the normalization with probability one in the limit, for valid normalizations. The asymptotic properties of several derived estimators of the rank are also discussed. It is found that a testing procedure that starts from the hypothesis of minimal rank is preferable.     

Quasi‐fixed inputs and long‐run equilibrium in production: a cointegration analysis

This paper proposes a cointegration approach to testing the validity long‐run equilibrium in production, where capital and labour are taken as quasi‐fixed inputs. Previous studies consider only capital as the quasi‐fixed input and do not take account of the time series properties of the variables, assuming implicitly that they are stationary. The canonical cointegrating regressions (CCR) procedure is employed to test for cointegration in both the single‐equation and the seemingly unrelated regressions framework, and long‐run equilibrium conditions are tested. The evidence from US manufacturing reveals that capital and labour are not fully adjusted to their long‐run optimal values, casting doubt on the long‐run equilibrium hypothesis. Copyright © 2001 John Wiley & Sons, Ltd.     

人民币实际有效汇率的分解和马歇尔—勒纳条件的修正

马歇尔-勒纳条件是探讨货币贬值改善贸易收支的规律,本文根据人民币实际有效汇率的特点,把它分解为美元有效汇率和人民币对美元汇率之积形式,在此基础之上,本文重新考察货币贬值改善贸易收支的条件,对传统的马歇尔-勒纳条件进行修正。从我们研究中可以看出美元实际有效汇率变化对马歇尔-勒纳条件修正的重要作用,这包括美元有效汇率对人民币汇率弹性和人民币在美元有效汇率中的权重的两种影响。另一方面,即使人民币实际有效汇率贬值存在“J”曲线效应,人民币对美元实际汇率贬值,“J”曲线是否存在还要依赖一定的条件。本文实证研究结果显示出口（或进口）与人民币对美元实际汇率、美元实际有效汇率指数和外国收入（或国内收入）之间存在着显著的协整关系,美元实际有效汇率和人民币对美元实际汇率也存在显著的协整关系。从弹性的变化来看,修正的马歇尔-勒纳条件成立,同时人民币对美元实际汇率贬值有利于改善贸易收支,美元实际有效汇率贬值会恶化中国贸易收支。而对“J”曲线效应的实证研究显示无论是人民币实际有效汇率,还是人民币对美元实际汇率贬值和美元实际有效汇率贬值,我国“J”曲线效应均不显著。     

Evidence on purchasing power parity from univariate models: the case of smooth transition trend‐stationarity

Recent research has found that trend‐break unit root tests derived from univariate linear models do not support the hypothesis of long‐run purchasing power parity (PPP) for US dollar real exchange rates. In this paper univariate smooth transition models are utilized to develop unit root tests that allow under the alternative hypothesis for stationarity around a gradually changing deterministic trend function. These tests reveal statistically significant evidence against the null hypothesis of a unit root for the real exchange rates of a number of countries against the US dollar. However, restrictions consistent with long‐run PPP are rejected for some of the countries for which a rejection of the unit root hypothesis is obtained. Copyright © 2005 John Wiley & Sons, Ltd.     

5月：人民币升值“时间窗”？

普遍看法认为,理想的升值起步时间应该是在5月份中美战略与经济对话前后,在年底之前通过双向波动,使人民币兑换美元达到6.5高盛首席经济学家吉姆·奥尼尔（JimO＇Neill）又猜错了。他本预计中国最早将在4月19日当周允许人民币升值2%至5%,不过直至本刊截稿的4月25日,事情仍未发生。     

Nonlinear dynamics of interest rate and inflation

According to several empirical studies US inflation and nominal interest rates as well as the real interest rate can be described as unit root processes. These results imply that nominal interest rates and expected inflation do not move one‐for‐one in the long run, which is incongruent with theoretical models. In this paper we introduce a new nonlinear bivariate mixture autoregressive model that seems to fit quarterly US data (1953 : II–2004 : IV) reasonably well. It is found that the three‐month Treasury bill rate and inflation share a common nonlinear component that explains a large part of their persistence. The real interest rate is devoid of this component, indicating one‐for‐one movement of the nominal interest rate and inflation in the long run and, hence, stationarity of the real interest rate. Copyright © 2006 John Wiley & Sons, Ltd.     

Can the random walk model be beaten in out-of-sample density forecasts? Evidence from intraday foreign exchange rates

It has been documented that random walk outperforms most economic structural and time series models in out-of-sample forecasts of the conditional mean dynamics of exchange rates. In this paper, we study whether random walk has similar dominance in out-of-sample forecasts of the conditional probability density of exchange rates given that the probability density forecasts are often needed in many applications in economics and finance. We first develop a nonparametric portmanteau test for optimal density forecasts of univariate time series models in an out-of-sample setting and provide simulation evidence on its finite sample performance. Then we conduct a comprehensive empirical analysis on the out-of-sample performances of a wide variety of nonlinear time series models in forecasting the intraday probability densities of two major exchange rates—Euro/Dollar and Yen/Dollar. It is found that some sophisticated time series models that capture time-varying higher order conditional moments, such as Markov regime-switching models, have better density forecasts for exchange rates than random walk or modified random walk with GARCH and Student-t innovations. This finding dramatically differs from that on mean forecasts and suggests that sophisticated time series models could be useful in out-of-sample applications involving the probability density.     

The demand for M3 in the euro area

In this paper, an empirically stable money demand model for M3 in the euro area is constructed. Starting with a multivariate system, three cointegrating relationships with economic content are found: (i) the spread between the long‐term and the short‐term nominal interest rates, (ii) the long‐term real interest rate, and (iii) a long‐run demand for broad money M3. There is evidence that the determinants of M3 money demand are weakly exogenous with respect to the long‐run parameters. Hence, following a general‐to‐specific modelling approach, a parsimonious conditional error‐correction model for M3 money demand is derived which can be interpreted economically. For the conditional model, long‐run and short‐run parameter stability is extensively tested and not rejected. Copyright © 2001 John Wiley & Sons, Ltd.     

The Relative Importance of Symmetric and Asymmetric Shocks: The Case of United Kingdom and Euro Area*

We show how a simple model with sign restrictions can be used to identify symmetric and asymmetric supply, demand and monetary policy shocks in an estimated two‐country structural VAR for the UK and Euro area. The results can be used to deal with several issues that are relevant in the optimal currency area literature. We find an important role for symmetric shocks in explaining the variability of the business cycle in both economies. However, the relative importance of asymmetric shocks, being around 20% in the long run, cannot be ignored. Moreover, when we estimate the model for the UK and US, the degree of business cycle synchronization seems to be higher. Finally, we confirm existing evidence of the exchange rate being an independent source of shocks in the economy.     

Euro conversion and return dynamics of European financial markets: a frequency domain approach

Using a frequency domain approach, we compare the spectra of equity market index returns for the 12 Euro-zone countries, the UK, the US, and Japan, over several time frames before and after the introduction of the Euro. In the immediate aftermath of the Euro-introduction, we find a reduced volatility over all frequencies, in which no strong cyclical components are present. However, in the long run, equity markets exhibit a volatility increase: the larger European equity markets develop dynamics that exhibit strikingly similar patterns, while the smaller European equity markets appear to follow dynamics closely resembling white noise. The similarity in dynamics is a likely candidate to explain the increase in correlation among the European markets. Furthermore, the European equity markets initially exhibited dynamics that resembled those of the US, while after the introduction of the Euro, the dynamics of the European Markets exhibits patterns similar to those found the UK. This suggests a change in the dynamic interdependency between the UK and the European markets and an increased convergence of UK market behavior with that behavior dominant in the Euro-zone. The findings may provide important implications for investors seeking to take advantage of international diversification.     

人民币汇率增加弹性和参考一篮子货币汇率形成机制研究

在央行货币政策目标下,可以确定最优汇率水平及汇率水平的调整。我国外汇体制改革要建立以市场供求为基础的,参考一篮子货币的有管理的浮动汇率制度,央行的汇率目标应由人民币对美元稳定转变为参考人民币有效汇率目标,确保人民币币值的总体水平稳定。实际上,参考篮子货币,人民币对美元汇率的弹性将显著增加。央行应逐步放宽人民币对美元和非美元货币的波动幅度,人民币汇率最终将由市场供求来决定,发挥汇率配置资源的基础作用。     

Regime shifts in stock–flow I(2)–I(1) systems: the case of US fiscal sustainability

In the last two decades, fiscal sustainability has been tested through the use of non‐stationary time series analysis. Two different approximations can be found in the literature: first, a univariate approach that has focused on the stochastic properties of the stock of debt and, second, a multivariate one that has focused on the long‐run properties of the flows of expenditures and revenues, i.e., in the stochastic properties of the deficit. In this paper we unify these approaches considering the stock–flow system that fiscal variables configure. Our approach involves working in an I(2) stochastic processes framework. Given the possibility of the existence of regime shifts in the sustainability of US deficit that the literature has pointed out, we develop a new statistic that can be applied to test several types of I(2) cointegration and multicointegration relationships allowing for regime shifts. To test for these kinds of changing long‐run relationships we propose the use of a residual‐based Dickey–Fuller class of statistic that accounts for one structural break. We show that consistent estimates of the break fraction can be obtained through the minimization of the sum of squared residuals when there is I(2) cointegration. The finite sample performance of the proposed statistic is investigated by Monte Carlo simulations. The econometric methodology is applied to assess whether the US fiscal deficit and debt are sustainable. Copyright © 2010 John Wiley & Sons, Ltd.     

Dynamic risk spillovers and portfolio risk management between precious metals and global foreign exchange markets

This study examines portfolio management and risk spillovers between four major precious metals (gold, silver, palladium and platinum) and 20 important U.S. exchange markets. To this end, we employ the multivariate DECO-GARCH model and the spillover index developed by Diebold and Yilmaz (2014, 2016) to examine the spillovers between those metal prices and the exchange rates and design portfolios and hedging strategies using different risk measures. The results show evidence of weak average conditional equicorrelations among the considered markets over time, excluding the turbulent 2008–2010 period. Furthermore, the precious metals (excluding platinum) and the currencies (with the exception of the Australian, Brazilian, Denmark, Euro, Mexican, Norwegian, New Zealand and Swedish currencies) are net receivers of shocks. Finally, the four precious metals provide strong risk and downside risk reductions, underscoring the usefulness of including precious metals in a traditional foreign exchange-dominated portfolio.     

Is infrastructure capital productive? A dynamic heterogeneous approach

This paper offers an evaluation of the output contribution of infrastructure. Using a panel time series approach and a large cross‐country dataset, the paper estimates a long‐run aggregate production function relating gross domestic product to human capital, physical capital, and a synthetic measure of infrastructure comprising transport, power and telecommunications. Tests of the cointegration rank allowing it to vary across countries reveal a common rank with a single cointegrating vector, which we interpret as the long‐run production function. Estimation of its parameters is performed using the pooled mean group (PMG) estimator, which allows for unrestricted short‐run parameter heterogeneity across countries while imposing the (testable) restriction of long‐run parameter homogeneity. The long‐run elasticity of output with respect to the synthetic infrastructure index ranges between 0.07 and 0.10. The estimates are highly significant, both statistically and economically, and robust to alternative dynamic specifications and infrastructure measures. Tests of parameter homogeneity fail to yield evidence that the long‐run parameters differ across countries. Copyright © 2014 John Wiley & Sons, Ltd.     

On the relationship between healthcare expenditure and longevity: evidence from the continuous wavelet analyses

This study applies the continuous wavelet analyses to identify four possible perspectives on the causality between healthcare expenditure and longevity: health as a determinant of healthcare expenditure (longevity leads), healthcare expenditure as a determinant of health (healthcare expenditure leads), feedback (bidirectional relation) and neutrality (no correlation). Our results show that none of these four perspectives regarding the causality of healthcare expenditure and longevity prevail over the period of 1963–2010 in the US. Healthcare expenditure is likely to serve as a predictor to predict the volatility of longevity in the short, medium, and long run, while longevity is likely to serve as a predictor to predict the volatility of healthcare expenditure only in the medium run.     

Determination of Long‐run and Short‐run Dynamics in EC‐VARMA Models via Canonical Correlations

This article studies a simple, coherent approach for identifying and estimating error‐correcting vector autoregressive moving average (EC‐VARMA) models. Canonical correlation analysis is implemented for both determining the cointegrating rank, using a strongly consistent method, and identifying the short‐run VARMA dynamics, using the scalar component methodology. Finite‐sample performance is evaluated via Monte Carlo simulations and the approach is applied to modelling and forecasting US interest rates. The results reveal that EC‐VARMA models generate significantly more accurate out‐of‐sample forecasts than vector error correction models (VECMs), especially for short horizons. Copyright © 2015 John Wiley & Sons, Ltd.