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.     

Interest Rate Volatility Regimes in Selected Asian Countries:A Univariate Markov Switching Analysis

Business cycle dynamics are determined by relatively large volatilities in output,consumption,and investment,which leads to cyclical fluctuations in interest rates.Using the Markov switching model,we model the nominal interest rate movements to explain the volatility regime shifts in a set of selected emerging Asian economies.The estimated results provide significant evidence of regime-dependent means,variances,and probabilities in both stable and volatile regimes in selected countries,confirming the existence of two distinct regimes in nominal interest rate movements.In addition,the smoothed probability results of switching autoregressive model show that the model is capable of capturing the two regimes for the corresponding nominal interest rate behaviors.Besides,the results reveal that the stables regimes have higher durations than the volatile regimes.This study also shows the advantage of Markov switching models over conventional regression models,allowing the identification of different regimes for the cyclical behavior of interest rates.     

Foreign Money Shocks and the Welfare Performance of Alternative Monetary Policy Regimes*

The welfare properties of monetary policy regimes for a country subject to foreign money shocks are examined in a two‐country sticky‐price model. Money targeting is found to be welfare superior to a fixed exchange rate when the expenditure switching effect of exchange rate changes is relatively weak, but a fixed rate is superior when the expenditure switching effect is strong. However, price targeting is superior to both these regimes for all values of the expenditure switching effect. A welfare‐maximising monetary rule yields lower output and exchange rate volatility than price targeting for a wide range of parameter values.     

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。     

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.     

Stability with regime switching

The purpose of this paper is to analyze the stability of systems of piecewise continuous differential equations, and to apply the results to a disequilibrium economic model. The discontinuity problem appears in disequilibrium models because of the so-called “short-side” rule. The concept of Filippov solution makes it possible to analyze the dynamic evolution of such a model. This paper demonstrates that (i) stability conditions for each subsystem are neither necessary nor sufficient for overall stability, except in special cases such as a system of linear differential equations in R² with two regimes separated by a linear boundary; (ii) several sufficient conditions for overall stability with many regimes are available; and (iii) stability theorems with regime switching are useful for disequilibrium economic models with several regimes.     

Fuzzy Seasonal Time Series for Forecasting the Production Value of the Mechanical Industry in Taiwan

Based on the seasonal time series ARIMA(p,d,q)(P,D,Q)_s model (SARIMA) and fuzzy regression model, we combine the advantages of two methods to propose a procedure of fuzzy seasonal time series and apply this method to forecasting the production value of the mechanical industry in Taiwan. The intention of the article is to provide the enterprises, in this era of diversified management, with a fresh method to conduct short-term prediction for the future in the hope that these enterprises can perform more accurate planning. This method includes interval models with interval parameters and provides the possibility distribution of future value. From the results of practical application to the mechanical industry, it can be shown that this method makes good forecasts. Further, this method makes it possible for decision makers to forecast the possible situations based on fewer observations than the SARIMA model and has the basis of pre-procedure for fuzzy time series.     

Multivariate Markov Switching Common Factor Models for the UK

We estimate a model that incorporates two key features of business cycles, comovement among economic variables and switching between regimes of boom and slump, to quarterly UK data for the last four decades. A common factor, interpreted as a composite indicator of coincident variables, and estimates of turning points from one regime to the other, are extracted from the data by using the Kalman filter and maximum likelihood estimation. Both comovement and regime switching are found to be important features of the UK business cycle. The composite indicator produces a sensible representation of the cycle and the estimated turning points agree fairly well with independently determined chronologies. These estimates are sharper than those produced by a univariate Markov switching model of GDP alone. A fairly typical stylized fact of business cycles is confirmed by this model – recessions are steeper and shorter than recoveries.     

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.     

Regime changes and fiscal sustainability in Kenya

Kenya's fiscal policy landscape is characterized by primary deficit spending forcing the government to rely on debt to meet its objectives. The justification often being that as a developing economy, annual growth rates and future prospects may in the short run justify the uptake of debt to finance infrastructural development. However, given potential fiscal limits, fiscal cycles usually alternates between sustainable and unsustainable regimes and this has a bearing on long run sustainability. This study therefore sought to investigate the nature of fiscal policy regime in Kenya and the extent to which fiscal policy is sustainable in the long run taking into account periodic regime shifts. Markov switching models were used to endogenously determine fiscal policy regimes. Regime switching tests were used to test whether No-Ponzi game condition and debt stabilizing condition were met. The results established that regime switching model was suitable in explaining regime sustainable and unsustainable cycles. An investigation of fiscal policy regimes established that both sustainable and unsustainable regimes were dominant, and each lasted for an average of four years. There was evidence to imply the existence of procyclical fiscal policy in Kenya. Regime switching tests for long run sustainability suggested that the No-Ponzi game condition weakly holds in the Kenyan economy. Regime-based sensitivity analysis indicated that persistence of unsustainability regime for more than 4 years could threaten long-run fiscal sustainability.     

REGIME DEPENDENT EFFECT OF OUTPUT GROWTH ON OUTPUT GROWTH UNCERTAINTY: EVIDENCE FROM OECD COUNTRIES

This paper studies the impact of output growth on output growth uncertainty by considering two important issues hitherto not properly and adequately addressed to in the existing empirical studies specifying this relationship. These are: (i) the possible existence of a threshold level of output growth, and the consequent identification of two regimes characterized by high and low output growth, and (ii) whether or not the coefficient capturing the causal link is different in these two output growth states. This paper proposes a regime switching model to study this asymmetric effect for 16 OECD countries. Based on monthly time‐series observations, our results strongly support that the impact varies significantly between the two output growth regimes with the coefficient in the high growth regime being negative for majority of the countries.     

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.     

Sterilised Interventions within a Heterogeneous Expectation Exchange Rate Model: Evidence from the Reserve Bank of Australia

In this article, we study the effectiveness of central bank intervention within a heterogeneous expectation exchange rate model for the Reserve Bank of Australia. The empirical evidence is gathered by applying a Markov‐switching approach to daily A$/US$ exchange data from December 1983 to April 2008. Our results support both chartist and fundamentalist regimes. It is shown that the two regimes are persistent and that the fundamentalist regime is riskier. Moreover, interventions when the chartist regime prevails increase the proportion of fundamentalists and thus exert a stabilising effect on the foreign exchange market.     

An empirical analysis of the US stock market and output growth volatility spillover effects on three Anglo-Saxon countries

This paper examines the dynamic and switching effects of volatility spillovers arising from US stock market returns and GDP growth on those of Australia, Canada and the UK. For this purpose, we use quarterly data (1961q1–2013q1) and a constant probability Markov regime switching model. We found that the US stock market volatility significantly affects the stock market volatility of all three countries at least in one of the two specified regimes over time. However, the stock market volatilities in none of the three countries are contemporaneously influenced by the US output volatility even after allowing for two distinct regimes. On the other hand, the US stock market volatility exerts significant influences on the output volatilities of both Australia and the UK. Compared with Australia and the UK, Canada and the US show substantial output volatility co-movements, thereby confirming the close association between the two neighbouring economies through the NAFTA (North American Free Trade Agreement). We conclude that shocks emanating from the US stock market have unequivocal flow-on effects on the output and return volatilities of the other economies.     

Emissions Trading and Profitability: The Swedish Pulp and Paper Industry

The purpose of this paper is to develop models with and without potential emissions trading and to compare industry profits under the two regimes. The model in which emissions trading is permitted is a nonparametric industry frontier model in the spirit of Färe et al. (1992). It is relative to this model that industry profit is computed. This profit is compared to the profit without emissions trading to give an estimate of the potential gains that can be realised by allowing for emissions trading. The model, which is applied to data for the Swedish pulp and paper industry, suggests that this industry would have had up to 6% (1%) higher profits in 1989 (1990) if emissions trading had been used instead of individual permits to achieve the same total emissions target. Currently there is no permit trading in this industry so our results only model the potential gains that can be made.     

Do bubbles have an explosive signature in markov switching models?

We investigate nine data series previously identified as containing bubbles using Bayesian Markov switching models.  Nearly all series appear to display strong regime switching that could possibly be induced by ‘bubble’ processes, but in each case the type of model that best describes each price differs substantively.  We pay particular attention to whether these series contain transient explosive roots, a feature which has been suggested to exist in several bubble formulations.  Bayesian model averaging is employed which allows us to average across a range of submodels, so that our empirical findings are not based on only one well performing model.  We show that explosive regimes may exist in many submodels, but only when the flexibility of the model is limited in other important respects.  In particular, when Markov switching models allow for switching levels of error variance, explosive root regimes occur in only a minority of the series.     

Do realized betas exhibit up/down market tendencies?

In this paper we employ the STAR (smooth transition autoregressive) model to investigate potential nonlinearities, cyclical behaviour and duration dependence in the realized monthly betas of 39 US industry portfolios. Tests reject linearity for all but eight industries. The estimated nonlinear models suggest that industry betas are characterised by asymmetric cycles, with the speed of transition between the bull and bear market regimes being relatively slow for seven industries. We find duration dependence in industry betas since the probability of transition between regimes does depend on how long the market has been in an up or a down state.     

非线性增长与经济增长动力转换

采用时变马尔科夫区制转换模型,分析了不同投入要素在不同经济增长阶段对经济增长贡献的差异,以及影响经济在不同区制之间跃迁的关键因素。研究发现:在三类经济增速区间内,人力资本投入对经济增长的拉动效应最强,在推动经济从中速增长向高速增长转移的过程中发挥重要作用;帮助经济跨越"中等收入陷阱"的关键在于提高物质资本和人力资本投资的匹配度,使物质资本和人力资本的流动与产业集聚和城市化发展一致、与技术创新能力提升配合;渐进式转型有利于平滑增长路径,降低向高收入均衡收敛的临界值。     

Using Copulas to Model Switching Regimes with an Application to Child Labour*

The copula approach to econometric modelling involves the specification of the separate components of the joint distribution of the random variables of interest: models built for each margin are bound together using a copula function. In this paper, the copula approach is used to construct models for switching regimes. The construct is illustrated by fitting a wage earnings model for child workers in the early 1900s, with regimes governed according to literacy. The results improve on earlier modelling efforts by Poirier and Tobias (2003), finding that a child worker may on average expect a reduction in earnings from being literate.