Testing nonlinearities in economic growth in the OECD countries: an evidence from SETAR and STAR models

This study estimates the Self Exciting Threshold Autoregressive (SETAR) and Smooth Transition Autoregressive (STAR) models and examines the nonlinear and regime switching dynamics of economic growth for a set of 10 OECD countries. The null of linearity in SETAR model is tested using the recursive polynomial F test of Tsay and the bootstrap based supremum, average and exponential average Lagrange Multiplier (LM) tests of Hansen. The F test of Tsay rejects the null of linearity for all the countries, except Spain and Switzerland. The SETAR model of Hansen reinforces the evidence and suggests the rejection of linear model. The STAR model rejects the null of linearity against STAR nonlinearity for all the countries, except Denmark and Switzerland. The sequential F tests for the conditional nulls suggest the LSTAR nonlinearity for Australia, Belgium, France, Sweden and UK, and the ESTAR nonlinearity for Canada, Spain and the USA.     

The nonlinear time series properties of unemployment rates: some further evidence

The time series properties of unemployment rates for Germany, Japan, the UK and the US are re-examined. Evidence of nonlinear structure in the residuals of the most parsimonious linear ARMA models is reported for all countries except Japan. Modelling this nonlinearity using SETAR models suggests strong asymmetry in unemployment dynamics and the presence of a possible limit cycle for the UK. However, residual diagnostics for these models indicate remaining structure. Alternative TAR models conditioned on past growth rates of industrial production yield substantial reductions in residual variance over both linear and SETAR counterparts, iid residuals in all cases other than the US, and threshold values at or very near zero, clearly identifying the asymmetric behaviour of unemployment during expansionary and contractionary phases of the business cycle.     

Threshold nonlinearities in unemployment rates: further evidence for the UK and G3 economies

The paper appraises the in-sample and out-of-sample adequacy of linear AR and nonlinear SETAR models of unemployment rates for Germany, Japan, the UK and the US. Tests are reported for the presence and specification of threshold nonlinearities, SETAR model estimates, limiting dynamic properties and residual diagnostics, and out-of-sample forecasting performance. In-sample, threshold non-linearities are confirmed to be strongly present for the UK, US and Germany, and more marginally so for Japan. Out-of-sample, excepting Japan, SETAR models provide superior onestep-ahead forecast on RMSE grounds, most notably for the US. Final tests indicate that these models exhibit predictive accuracy in the sense of parameter and residual variance stability, implying the potential for exploitation of such nonlinearity in official forecasting.     

Boundedness and nonlinearities in public debt dynamics: A TAR assessment

This study aims to investigate the dynamics of public debts over more than four decades for two of the main developed countries: the USA and the UK. To do this, we apply nonlinearity tests and threshold models. While the first tests enable us to check for further changes in the data, threshold models are required to assess the switching-regime hypothesis and to apprehend the main changes in public debts through different regimes. Our results provide several interesting findings. First, for both countries, we noted several structural breaks associated with well-known economic downturns, oil shocks, debt crises and financial crashes. Second, public debt dynamics seem to be characterized by various threshold effects that can improve the modeling and forecasting of public debt evolution. It is important to note that public debts vary significantly according to the regime and that a regime can be induced by specific macroeconomic factors. Keeping a close eye on such factors may help economists and policymakers to better control future public debt evolutions.     

Smooth transition,non-linearity and current account sustainability: Evidence from the European countries

In this paper we examine three types of nonlinearities, i.e., nonlinearity stemming from structural breaks, sign nonlinearity and size nonlinearity, for ten European countries and their importance to current account sustainability. For this purpose, we apply a battery of linear and nonlinear unit root tests. Our results show that the structural break nonlinearity and size nonlinearity are vital to the current account-GDP ratios of European countries in testing for the null hypothesis of a unit root. Nevertheless, the current account-GDP ratios of these countries do not exhibit the sign nonlinearity. That is, by taking account of the nonlinear trend, the threshold autoregressive and momentum threshold autoregressive models do not detect any asymmetry in the response of the current account imbalance to deviations from its long-run nonlinear trend.     

The dynamics of inflation: a study of a large number of countries

Over the last twenty years the statistical properties of inflation persistence has been the subject of intense investigation and debate without reaching a unanimous conclusion yet. In this article we attempt to shed further light to this debate using a battery of econometric techniques in order to provide robust evidence on the degree of inflation persistence and whether this has changed during the period in which several countries have followed inflation-targeting regimes or new monetary regimes. We consider the inflation rates of thirty developed and emerging economies using quarterly data for the period 1958 to 2007 which include alternative monetary policy regimes. The coefficient of the inflation parameter is estimated by Ordinary Least Squares (OLS), Autoregressive Moving Average (ARMA) and Autoregressive Fractionally Integrated Moving Average (ARFIMA) models. Furthermore, the grid-bootstrap Median Unbiased (MUB) estimator approach developed by Hansen (1999) is used to estimate the finite sample OLS estimates coupled with the 95% symmetric confidence interval. We also examine parameter stability of persistence coefficients by estimating a model with time-varying parameters.     

Nonlinearity and stationarity of inflation rates: evidence from the euro-zone countries

Earlier studies hardly reject the hypothesis of a unit root in inflation. Few studies have examined the possibility of nonlinearity in inflation and tested nonlinear stationarity of the inflation rates. This study thus intends to fill the gap. This study utilizes the tests for nonlinearity along with the unit root tests that allow for nonlinearity in the variables to examine the stationarity of inflation rates of 12 European countries that formed the Euro Zone (EZ) later in the sample period. The results suggest that the majority of these countries’ inflation rates can be characterized by mean reversion during the floating exchange rate period. Many of them appear to be nonlinear stationary. This finding is essential in conducting applied economic studies for these countries, when constructing models whose validity relies on whether or not inflation is stationary. The results of this study also imply that shocks to inflation have a transitory effect on inflation in the euro area. Therefore, it would be less costly in exercising the policies of disinflation for the monetary authorities of the euro area than for those of the countries with nonstationary inflation.     

Renewable and nonrenewable energy production and economic growth in sub-Saharan Africa: a hidden cointegration analysis

The objective of this article is to investigate the hypothesis of asymmetric effects between economic growth and renewable and nonrenewable energy production. To this end, both the linear cointegration and the hidden cointegration methodology are employed, with the latter allowing a straightforward delimitation of the data in an economically sensible way. We test for the presence of hidden cointegration across 12 sub-Saharan African countries spanning the period 1971–2011. The empirical results confirm the growth hypothesis for a subset of countries, suggesting that their growth could be adversely affected by conservation policies, while for a second subgroup of countries they confirm the conservation hypothesis, indicating that conservation policies could enhance the growth process in these countries. The differentiation of the results could be captured entirely by the linear approach, indicating that the lack of cointegration between renewable energy production and economic growth found in previous studies may be due to failures to properly delimit the nonlinearity property in the data.     

Nonlinearities in emerging stock markets: evidence from Europe's two largest emerging markets

Recent developments in time series analysis allow proper modelling of nonlinearities in economic and financial variables. A growing body of research was dedicated to investigation of potential nonlinearities in conditional mean of many economic and financial variables, mainly concentrating in developed economies. However, nonlinearities in financial variables in developing economies have not been fully examined yet. In this article we investigate potential nonlinearity and cyclical behaviour of stock returns in Europe's two largest emerging stock markets, mainly in the Greek and Turkish stock markets. Specifically, we use STAR family models, which allow to model nonlinearities in the conditional mean, for modelling monthly returns on stock exchange indices of the Athens Stock Exchange and Istanbul Stock Exchange. Although we find no nonlinearity in conditional variance, we do find strong evidence in favour of nonlinear adjustment of stock returns. It is found that allowing for nonlinearity in conditional mean results in a superior model and provides good out-of-sample forecasts, which contradicts to efficient market hypothesis.     

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.     

A new test for analysing hysteresis in European unemployment

This article proposes a new unit root test to analyse unemployment hysteresis. The test is able to incorporate cross-sectional dependence, unattended nonlinearity and unknown structural breaks in the time-series data. This study used data on unemployment in five European countries. The findings indicated that conventional unit root tests failed to reject the null hypothesis of hysteresis for all countries. However, the newly proposed unit root test was able to reject the null hypothesis for the Spanish unemployment rate.     

Engendering Economic Recovery: Modeling Alternatives to Austerity in Europe

This article explores a gendered expansionary macroeconomic scenario for Europe as an alternative to current austerity policies over the medium term. Using a non-equilibrium structuralist macroeconomic model, it demonstrates that the dual aim of economic growth and increases in men’s and women’s employment can be achieved by adopting gender-sensitive expansionary macroeconomic policies. Based on historical data series, three scenarios for Europe for the 2015–25 period are compared: continued austerity, a gender-neutral expansionary scenario, and a gendered expansionary scenario. Projections for the gendered expansionary scenario suggest that 7.4 million more jobs could be created for women in the Eurozone and United Kingdom by reversing austerity policies and gendering and increasing government expenditure and private investment. Further, higher growth rates under this scenario lead to significant reductions of debt-to-GDP ratios and lower budget deficits. The study recommends Europe should roll back austerity policies and embark on a new gender-aware economic trajectory.     

THE FORECASTING PERFORMANCE OF SETAR MODELS: AN EMPIRICAL APPLICATION

The aim of this paper is to evaluate the forecasting performance of SETAR models with an application to the Industrial Production Index (IPI) of four major European countries over a period which includes the last Great Recession. Both point and interval forecasts are considered at different horizons against those obtained from two linear models. We follow the approach suggested by Teräsvirta et al. (2005) according to which a dynamic specification may improve the forecast performance of the nonlinear models with respect to the linear models. We re‐specify the models every twelve months and we find that the advantages of this procedure are particularly evident in the forecast rounds immediately following the re‐specification.     

Nonlinear Exchange Rate Adjustment in the Enlarged Eurozone: Evidence and Implications for Candidate Countries

This paper sheds light on the importance of the validity of PPP hypothesis for the accessing process of the candidate countries towards EMU. The evidence of nonlinear adjustment in real exchange rates suggests the estimation of a nonlinear SETAR model. While linear half‐life estimates are biased upward (five years on average), SETAR half‐life estimates imply a faster reverting process (1.5 years on average). Moreover, we found that TPI‐based real exchange rates are more appropriate than CPI‐based real exchange rates in testing for PPP hypothesis. For the cluster of EMU countries and for the pre‐EMU period, our nonlinear model confirms stationarity for the majority of the TPI‐based real exchange rates with half‐life estimates less than a year.     

Forecasting US consumer price index: does nonlinearity matter?

The objective of this article is to predict, both in sample and out of sample, the consumer price index (CPI) of the US economy based on monthly data covering the period of 1980:1–2013:12, using a variety of linear (random walk (RW), autoregressive (AR) and seasonal autoregressive integrated moving average (SARIMA)) and nonlinear (artificial neural network (ANN) and genetic programming (GP)) univariate models. Our results show that, while the SARIMA model is superior relative to other linear and nonlinear models, as it tends to produce smaller forecast errors; statistically, these forecasting gains are not significant relative to higher-order AR and nonlinear models, though simple benchmarks like the RW and AR(1) models are statistically outperformed. Overall, we show that in terms of forecasting the US CPI, accounting for nonlinearity does not necessarily provide us with any statistical gains.     

The hydroelectricity consumption and economic growth in Asian countries - evidence using an asymmetric cointegration approach

ABSTRACT

This study examines the four commonly tested hypotheses in hydroelectricity consumption – economic growth literature for 12 Asian countries. Our results from a recently developed hidden cointegration technique uncover rich and significant relationships between negative and positive components of the variables under consideration. In particular, we find evidence to support the neutrality hypothesis in five countries (Bangladesh, Indonesia, Pakistan, Philippines, and Thailand), the growth hypothesis in four countries (India, Japan, South Korea and Taiwan), and both growth and conservation hypotheses in three countries (China, Malaysia, and New Zealand). These findings suggest that appropriate economic policies should be elaborated on the basis of the country’s specific hydroelectricity consumption–growth nexus. Finally, our new evidence suggests that the lack of stable relationship between hydroelectricity consumption and economic growth documented in previous studies for some of these countries could be due to the failure to properly account for the nonlinearity property in the data.     

A threshold in inflation dynamics: evidence from emerging countries

Using monthly data over the period January 1976–November 2002, the present paper detects significant threshold non-linearities in the inflation rates of three emerging countries, namely India, Singapore and South Africa. A two-regime self-exciting threshold autoregressive (SETAR) model of inflation, constituting a significant improvement over the corresponding linear AR model, is estimated for these countries. Singapore is shown to have a much lower implied equilibrium inflation rate than India, while there is a possibility of seasonal inflation equilibria for South Africa.     

An in-sample and out-of-sample empirical investigation of the nonlinearity in house prices of South Africa

This paper tests whether housing prices in the five segments of the South African housing market, namely large-middle, medium-middle, small-middle, luxury and affordable, exhibit non-linearity based on smooth transition autoregressive (STAR) models estimated using quarterly data from 1970:Q2 to 2009:Q3. Findings point to an overwhelming evidence of non-linearity in these five segments based on in-sample evaluation of the linear and non-linear models. We next provide further support for non-linearity by comparing one- to four-quarters-ahead out-of-sample forecasts of the non-linear time series model with those of the classical and Bayesian versions of the linear autoregressive (AR) models for each of these segments, for the out-of-sample horizon 2001:Q1 to 2009:Q3, using the in-sample period 1970:Q2 to 2000:Q4. Our results indicate that barring the one-, two and four-step(s)-ahead forecasts of the small segment, the non-linear model always outperforms the linear models. In addition, given the existence of strong causal relationship amongst the house prices of the five segments, the multivariate versions of the linear (classical and Bayesian) and STAR (MSTAR) models were also estimated. The MSTAR always outperformed the best performing univariate and multivariate linear models. Thus, our results highlight the importance of accounting for non-linearity, as well as the possible interrelationship amongst the variables under consideration, especially for forecasting.     

SETAR模型在中国股市波动率研究中的应用

文章对上证指数2006年1月6日-2011年5月23日收盘价的波动率进行了研究,介绍并使用随机系数SETAR模型与ARCH族模型进行对比拟合,根据数据的特点,文章构建了一种新型的SETAR模型,即AR(r)-SETAR(l,p1,p1)模型,模型利用ADF检验和AIC准则进行识别和估计。结果表明:可用AR(4)-SETAR(2,1,1)模型来拟合中国股市中的上证指数,研究其波动率特点,上证指数波动率呈不对称的响应,而且"负"响应比"正"响应高出约1.3倍。用ARCH族模型也证明了这种不对称响应的特征,但无法度量波动的强度,预测效果也没有SETAR模型精确。说明上证指数波动率不对称响应明显且呈现非线性的趋势,这种非线性的趋势更适合用SETAR模型来拟合。     

EC INTEGRATION AND JAPANESE FOREIGN DIRECT INVESTMENT IN THE EC

This study proposes two hypotheses to identify the cause(s) behind the short-term cyclical Japanese manufacturing foreign direct investment in the European Community (EC) in the late 1980s and early 1990s: (i) a catch-up process of Japanese firms in anticipation of EC single market integration in 1993 and (ii) the so-called bubble economic phenomenon caused by the overheated economy following expansionary monetary policy in Japan in the late 1980s. Applying multinomial logit models to the data on parent firms of 283 Japanese manufacturing subsidiaries established in the EC from 1988 to 1992 reveals strong support for the bubble economy hypothesis but not for the catch-up hypothesis. Results also show that under a bubble economy situation, tax-related incentive policies in host countries—e.g., an investment tax allowance for foreign direct investment—are quite important in attracting Japanese firms.