Does purchasing power parity hold sometimes? Regime switching in real exchange rates

Standard unit root tests are not very powerful in drawing conclusions regarding the validity of Purchasing Power Parity (PPP). Rather than asking whether PPP holds throughout the whole sample period, we examine, in this study, if PPP holds sometimes by employing Hamilton-type (1989) Markov regime switching models. When at least one of multiple regimes is stationary, PPP holds locally within the regime. There are indeed various reasons that we should expect that the persistence of real exchange rates changes over time. Employing five real exchange rates spanning more than 100 years, we find herein strong evidence that the strength of PPP varies during the sample periods and that there exist stationary regimes in which PPP holds. Throughout the article, we also make comparisons to previous Markov regime switching estimation results by Kanas (2006) on the same data series. The new Markov switching model selection criterion of Smith et al. (2006), which is devised especially for discriminating Markov regime switching models, unambiguously indicates a preference for the Hamilton-type Markov regime switching model employed in this study. We also find that the evidence for PPP is not much different across different nominal exchange rate arrangements.     

Regime switching and the (in)stability of the price–rent relationship: evidence from the US

Present value models of house prices assert that in the absence of self-fulfilling bubbles, a house price is equal to the present discount value of all future rents, which implies a linear relationship between house price and rent, and hence a stable price-to-rent ratio. Using a Markov switching error correction model, we re-examine this relationship in the US housing market and find two distinctive regimes: one with a long-run relation between house price and rent predicted by the present value models and the other in which the relation is nonlinear. Furthermore, we find evidence that deviations of house prices from the present value models’ predictions are caused by the overreaction of house prices to movements in rents rather than speculative bubbles attributable to extraneous factors.     

中国内地与香港经济周期的区制状态及协同性分析

笔者运用Markov区制转移模型,对中国内地与香港经济周期的区制状态以及两地经济周期的协同性进行了检验.结果显示:一方面,中国内地与香港经济周期均存在显著的三区制性质,即经济周期可划分为"低速"、"适速"和"高速"增长区制;另一方面,中国内地与香港经济周期的协同性水平偏低,并且存在依赖于区制状态的"门限性质",即在不同的经济周期区制内呈现出不同的协同性水平.     

Regime shifts in the Danish term structure of interest rates

Within a bivariate VAR model allowing for two-state Markov regime switching we test and evaluate the Expectations Theory (ET) of the term structure using Danish 1- and 3-months interest rates covering the period 1976–1997. A regime-shift approach is used in order to account for the change in monetary policy and the 1992–93 exchange rate crises that occured during this period. The basic findings are that these episodes did change the term structure, and, although we do find departures from the ET, several of the implications of the theory are consistent with the data, especially in the later part of the sample. First version received: June 1997/Final version received: March 1998     

A tale of two states: asymmetries in the UK small,value and momentum premiums

This article performs comparative analysis of the asymmetries in size, value and momentum premium and their macroeconomic determinants over the UK economic cycles, using Markov switching approach. We associate Markov switching regime 1 with economic upturn and regime 2 with economic downturn. We find clear evidence of cyclical variations in the three premiums, most notable being that in the size premium, which changes from positive in expansions to negative in recessions. Macroeconomic indicators prompting such cyclicality the most are variables that proxy credit market conditions, namely the interest rates, term structure and credit spread. Overall, macro factors tend to have more significant impact on the three premiums during economic downturns. The results are robust to the choice of information variable used in modelling transition probabilities of the two-stage Markov switching model. We show that exploiting cyclicality in premiums proves particularly profitable for portfolios featuring small cap stocks in recessions at a feasible level of transaction costs.     

Evaluating currency crises: A Bayesian Markov switching approach

In this paper we examine the nature of a currency crisis. We do so by employing an out-of-sample forecasting exercise to analyse the Mexican crisis in 1994. Forecast evaluation was based on modern econometric techniques concerning the shape of forecaster’s loss function. We also extend the empirical framework suggested by Jeanne and Masson [Jeanne, O., Masson, P., 2000. Currency crises and Markov-switching regimes. Journal of International Economics 50, 327–350] to test for the hypothesis that the currency crisis was driven by sunspots. To this end we contribute to the existing literature by comparing Markov regime switching model with a time-varying transition probabilities with two alternative models. The first is a Markov regime switching model with constant transition probabilities. The second is a linear benchmark model. Empirical results show that the proxy for the probability of devaluation is an important factor explaining the nature of currency crisis. More concretely, when the expectation market pressure was used as a proxy of probability of devaluation, forecast evaluation supports the view that currency crisis was driven by market expectation unrelated to fundamentals. Alternatively, when interest rate differential is used as a proxy for probability of devaluation, currency crisis was due to predictable deterioration of fundamentals.     

Testing Markov switching models

In this article, we propose a new test for Markov switching models. Unlike the tests in the existing literature (e.g. Hansen, 1992; Garcia, 1998; Cho and White, 2007), we focus on testing the null of two regimes, instead of one single regime, in a switching framework. To implement our test, we propose a Markov switching model with absorbing states and examine whether the absorption probabilities are close to the boundary of the parameter space. We exploit recent advances by Andrews (2001) and conduct inference in the proposed model.     

Do macroeconomic variables have regime-dependent effects on stock return dynamics? Evidence from the Markov regime switching model

The predictability of stock return dynamics is a topic discussed most frequently in empirical studies; however, no unanimous conclusion has yet been reached due to the ignorance of structural changes in stock price dynamics. This study applies various regime switching GJR-GARCH models to analyze the effects of macroeconomic variables (interest rate, dividend yield, and default premium) on stock return movements (including conditional mean, conditional variance, and transition probabilities) in the U.S. stock market, so as to clearly compare the predictive validity of stable and volatile states, as well as compare the in-sample and out-of-sample portfolio performance of regime switching models. The empirical results show that macro factors can affect the stock return dynamics through two different channels, and that the magnitude of their influences on returns and volatility is not constant. The effects of the three economic variables on returns are not time-invariant, but are closely related to stock market fluctuations, and the strength of predictability in a volatile regime is far greater than that in a stable regime. It is found that interest rate and dividend yield seem to play an important role in predicting conditional variance, and out-of-sample performance is largely eroded when the effects of these two factors on volatility are ignored. In addition, the three macro factors do not play any role in predicting transition probabilities.     

从财政主导转向货币政策工具：中国利率水平决定的转变*

本文基于利率市场化的角度，使用马尔科夫体制转换自回归模型（MS AR）研究我国利率市场化改革以来（1996—2017年）利率水平决定机制的非线性变化。通过计量模型识别出我国利率水平决定的两个体制，即“财政主导”（1996—2005年）和“货币主导”（2006—2017年）。我国利率决定机制改变的时间轨迹与利率市场化改革进程的关键时间节点相吻合。这表明我国的利率市场化改革取得了显著成效，利率调控方式由财政主导转向货币主导，为进一步的利率市场化打下了良好的基础。     

Revisiting the interest rate–exchange rate nexus: a Markov-switching approach

In this paper the interest rate–exchange rate nexus and the effectiveness of an interest rate defense are investigated empirically. I present a reduced form evidence which characterizes the empirical relationship between interest rates and exchange rates. I use a Markov-switching specification of the nominal exchange rate with time-varying transition probabilities. Empirical evidence from six developing countries: Indonesia, South Korea, the Philippines, Thailand, Mexico, and Turkey indicates that raising nominal interest rates leads to a higher probability of switching to a crisis regime. Thus, the empirical results presented here may support the view that a high interest rate policy is unable to defend the exchange rate. Unlike other studies which consider linear models only, my findings are robust and consistent over different countries and crisis episodes (Asian 1997 crises, Mexico 1994 crisis, and Turkey 1994, 2001 crises). In order to explain the empirical findings, I construct a simple theoretical model by incorporating an interest rate rule in the model proposed by Jeanne and Rose (2002) [Jeanne, O., Rose, A.K., 2002. Noise trading and exchange rate regimes, Quarterly Journal of Economics. 117 (2) 537–569]. The model has multiple equilibria, and under plausible conditions, higher exchange rate volatility is associated with higher interest rates.     

Profit rate in the US, 1949–2007: a Markov switching assessment

The article investigates the growth in the general profit rate in the US during the 1949–2007 period with a Markov switching model. The evidence is consistent with a long swing with means displaying opposite signs under the two regimes (increasing or declining) and high degree of persistence within each regime. The results for this nonlinear approach reinforce previous empirical evidence that does not provide support for a systematic and declining tendency in profit rate as advanced in the Marxian literature.     

利率期限结构的马尔科夫区制转移模型与实证分析

本文在利率期限结构中通过纳入马尔科夫(Markov)区制转移,将传统CKLS模型推广到更为一般的状态相依的CKLS模型,并将之应用于对我国1996年1月至2006年3月银行间同业拆借市场六组不同到期日之月度加权平均利率的研究。通过模型估计和检验分析,我们发现在不同区制下不同到期日利率漂移函数和扩散函数均呈现非线性,其中漂移函数表现为强烈的随机游走过程或均值回归过程,而扩散函数表现为低波动状态或高波动状态。此外,结果表明不同到期日利率期限结构可由缩压的马尔科夫区制转移CKLS模型获得。     

MODELLING A REGIME‐SHIFTING BEVERIDGE CURVE

This paper offers new insights into Beveridge curve analysis by modelling the unemployment–vacancy rate relationship within a Markov regime‐switching environment in which the probabilities of curve‐shifting are determined endogenously by shift factors. Shift factors include structural factors such as labour market participation and net migration, while cyclical variables include GDP growth, the real rate of interest, and labour productivity. This approach enables us to estimate regime‐specific parameters and to assess the role played by these factors in influencing the transition probabilities of switching between regimes. Using New Zealand data, we show that increases in the participation rate have shifted the Beveridge curve inward, while increases in net migration have shifted the curve outward.     

Is British output growth related to its uncertainty? Evidence using eight centuries of data

We examine the empirical relationship between output variability and output growth for Britain using data for eight centuries covering the 1270 to 2014 period. Drawing on the economic history literature, we split the full sample period into four subperiods and use GARCH models to measure output growth uncertainty and estimate its effect on average growth. Within each sub-sample, we allow output growth to depend on the state of the system, for example 2-regime switching model would switch between high-growth and low-growth regimes. We find that the effect of uncertainty on growth differs depending on the existing growth regime. Low-growth regimes are associated with a negative effect of uncertainty on growth, and medium or high-growth regimes are associated with a positive effect. These findings are consistent across the four states of economic development. Our results indicate why the empirical literature to date has found mixed results when examining the effect of uncertainty on growth.     

Markov switching in disaggregate unemployment rates

We develop a dynamic factor model with Markov switching to examine secular and business cycle fluctuations in the U.S. unemployment rates. We extract the common dynamics amongst unemployment rates disaggregated for 7 age groups. The framework allows analysis of the contribution of demographic factors to secular changes in unemployment rates. In addition, it allows examination of the separate contribution of changes due to asymmetric business cycle fluctuations. We find strong evidence in favor of the common factor and of the switching between high and low unemployment rate regimes. We also find that demographic adjustments can account for a great deal of secular changes in the unemployment rates, particularly the abrupt increase in the 1970s and 1980s and the subsequent decrease in the last 18 years. First Version Received: December 2000/Final Version Received: June 2001     

Analysis of contagion from the dynamic conditional correlation model with Markov Regime switching

Over the last decades, the transmissions of international financial events have been the subject of many academic studies focused on multivariate volatility models. This study evaluates the financial contagion between stock market returns. The econometric model employed, regime switching dynamic correlation (RSDC). A modification was made in the original RSDC model, the introduction of the GJR-GARCH-N and also GJR-GARCH-t models, on the equation of conditional univariate variances, thus allowing us to capture the asymmetric effects in volatility and also heavy tails. A database was built using series of indices in the United States (S&P500), the United Kingdom (FTSE100), Brazil (IBOVESPA) and South Korea (KOSPI) from 1 February 2003 to 20 September 2012. Throughout this study the methodology is compared with those frequently found in literature, and the model RSDC with two regimes was defined as the most appropriate for the selected sample with t-Student distribution in the disturbances. The adapted RSDC model used in this article can be used to detect contagion – considering the definition of financial contagion from the World Bank called very restrictive – with the help of the empirical exercise.     

Fads or bubbles?

This paper tests between fads and bubbles using a switching regression to distinguish between competing models. Two main features of the bubbles model distinguish it from the fads model. First, the bubbles model implies that returns are drawn from regimes which differ in the way returns vary with deviations from fundamental prices. Second, the bubbles model implies that deviations from fundamental price will help predict regime switches. Using US data for 1926–89, we find evidence which is consistent with the fads model even when we allow for variation in expected dividend growth rates and expected discount rates. However, the restrictions which the fads model implies for a more general switching-regression specification are rejected. The rejections point in the direction of the bubbles model, although not all of the implications of the bubbles model are supported by the data. First Version Received: October 2000/Final Version Received: October 2001     

Interest rate volatility and macroeconomic dynamics: Heterogeneity matters

We examine the relation between real interest rate volatility and aggregate fluctuations for a diverse sample of countries. Compiling a new dataset including emerging and advanced countries, the substantial variation in our data yields novel results: (a) stochastic volatility outperforms Markov‐switching in representing interest rates, (b) some advanced economies can be more volatile than emerging markets, and (c) creditors take on more debt following volatility shocks. We show how an equilibrium business cycle model with uncertainty shocks can generate these facts. Sample heterogeneity produces significant parameter differences, playing an important role in distinguishing the effects of volatility shocks.     

Output stabilization in fixed and floating regimes: Does trade of new products matter?

This paper studies the dynamics of output and export margins in the aftermath of global shocks in fixed and floating exchange rate regimes. Using a panel vector autoregressive model with exogenous factors, it traces the mean responses of output, terms of trade, extensive and intensive margins to real and nominal shocks in 22 developed economies over the period 1988–2011. We find remarkable differences in the transmission of shocks across exchange rate regimes. Adjustment takes place mainly at the extensive margin in fixed regimes, and implies a crowding out of intensive margins that is not present among floaters. Large movements at the extensive margin are associated with a weaker performance in terms of output stabilization. Our findings are robust to alternative sample selections and identification of the shocks. The evidence in the paper stresses a novel advantage of flexible exchange rates based on their ability to smooth the fluctuations in trade of new products.     

Disinflation costs in China and monetary policy regimes

This paper investigates the real effects of a disinflationary policy in China, in which we conduct a disinflation experiment in a medium-scale New Keynesian model. We highlight two key features of China's economy: the relevance of money to monetary policy rules and household inequality. For the former, we consider two monetary policy regimes: an expanded Taylor rule with money and a money supply rule. For the latter, we take into account a share of the population that is limited in its ability to participate in assets markets. Our analysis suggests that a disinflation policy is more costly when the central bank controls the money supply than the case in which the nominal interest rate is the policy instrument. Our results are driven by the different impacts of disinflation on nominal and real interest rates under the two regimes.