Is real GDP per capita a stationary process? Smooth transitions,nonlinear trends and unit root testing

The aim of this article is to provide additional evidence about the order of integration of constant price GDP per capita in a selection of countries. It does so by taking into account the possibility of non-linear deterministic trends and of asymmetric adjustment towards equilibrium. We find evidence of a global stationary ESTAR process around a nonlinear deterministic trend in almost half of the selected countries. These results show that nonlinearities affect real GDP series. By neglecting them, one can draw misleading conclusions from unit root tests. Specifically, the article questions the so-called stylised fact of a near unit root which has so influenced macroeconomic thought over the past two decades.     

Is per capita real GDP stationary in China? Sequential panel selection method

This paper investigates the time-series properties of per capita real GDP in China. The Sequential Panel Selection Method (SPSM) using the Panel KSS test with a Fourier function, a novel approach to panel unit testing, is applied to the data on 31 Chinese provinces over the period of 1979 to 2009. The SPSM classifies the whole panel into the group of stationary and non-stationary series, which identifies how many and which series are characterized by stationary processes. The results indicate that the per capita real GDP are non-stationary in all of these 31 regions in China, providing important policy implications.     

Is Asian per capita GDP panel stationary?

The goal of this paper is to examine whether per capita GDP for 15 Asian countries is panel stationary. We apply a panel test for stationarity that allows for multiple structural breaks developed by Carrion-i-Silvestre et al. (Econ J 8: 159–179, 2005). Our main findings are: (1) when we apply conventional tests, such as the ADF and KPSS univariate tests without structural breaks, we find little evidence for stationarity; (2) when we apply the KPSS univariate test with multiple structural breaks, we find evidence of stationarity for 10 out of 15 countries; and (3) when we apply the KPSS panel test with multiple structural breaks, we find overwhelming evidence of panel stationarity of per capita real GDP for different panels of Asian countries.      

Is real GDP stationary? Evidence from a panel unit root test with cross-sectional dependence and historical data

We use historical data that cover more than one century on real GDP for industrial countries and employ the Pesaran panel unit root test that allows for cross-sectional dependence to test for a unit root on real GDP. At first, we find strong evidence against the unit root null. Our results seem to be robust to the chosen group of countries and, in most cases, the sample period. However, the sequential panel selection method reveals that the rejection of the unit root null is due to the stationarity of real GDP in a few countries only. Real GDP is less stationary mostly in fixed exchange rate regimes like the Gold Standard and the Bretton Woods system.     

Is real per capita state personal income stationary? New nonlinear,asymmetric panel-data evidence

This paper re-examines the stochastic properties of U.S. state real per capita personal income, using new panel unit-root procedures. The new developments incorporate non-linearity, asymmetry, and cross-sectional correlation within panel-data estimation. Including nonlinearity and asymmetry finds that 43 states exhibit stationary real per capita personal income whereas including only nonlinearity produces 42 states that exhibit stationarity. Stated differently, we find that two states exhibit nonstationary real per capita personal income when considering nonlinearity, asymmetry, and cross-sectional dependence.     

Do per capita health care expenditures converge among OECD countries? Evidence from unit root tests with level and trend-shifts

This study examines the stochastic conditional convergence of per capita health care expenditures (PCHCE) among 19 OECD countries over the period 1972–2008. Specifically, newly developed LM and RALS-LM unit root tests with allowance for two endogenously determined structural breaks are employed. The results indicate support for PCHCE convergence among most OECD countries. The results are stronger in more general tests that control for two breaks and nonnormal errors. Panel unit root tests provide additional support for the stochastic convergence of PCHCE.     

Is there really hysteresis in the OECD unemployment rates? New evidence using a Fourier panel unit root test

Empirica - We investigate the hysteresis hypothesis by proposing a heterogeneous panel unit root test that allows for gradually changing trends and cross-sectional dependence (CSD) among panel...     

Re-testing Prebisch–Singer hypothesis: new evidence using Fourier quantile unit root test

The Prebisch–Singer hypothesis in economics asserts that over time the relative price of primary goods relative to manufactured goods should experience a downward trend. To test the hypothesis, we must first establish the unit root properties of the relative price term and then regress the stationary series on a trend term. We use the quantile unit root test which allows for both smooth unknown numbers and the form of breaks in the trend function through a Fourier function to show that the relative price of 23 out of 24 primary goods is stationary. However, the Prebisch–Singer hypothesis is supported only in half of the primary commodities.     

Does real U.K. GDP have a unit root? Evidence from a multi-century perspective

ABSTRACT

We employ linear and nonlinear unit-root tests to examine the stationarity of five multi-century historical U.K. series of real output compiled by the Bank of England. Three series span 1270 to 2016 and two series span 1700 to 2016. These datasets represent the longest span of historical real output data available and, thus, provide the environment for which unit-root tests are most powerful. A key feature of our test is its simultaneous allowance for two types of nonlinearity: time-dependent (structural breaks) nonlinearity and state-dependent (asymmetric adjustment) nonlinearity. The key finding of the test, contrary to what other more popular nonlinear unit-root tests suggest, provides strong evidence that the main structure of the five series is a stationary process characterized by an asymmetric nonlinear adjustment and a permanent break affecting both the intercept and the trend. A major policy implication of this finding is fiscal and/or monetary stabilization policies have only temporary effects on the output levels of the United Kingdom.     

The impact of product market competition on GDP per capita growth in the EU countries: does the model of capitalism matter?

This article assesses whether the intensity of product market competition is a factor affecting economic growth (measured by the growth rate of real GDP per capita) and whether this impact depends on the model of capitalism. The study covers the 1997–2015 period and all EU28 countries. Product market competition is measured by two types of variables: product market regulation indicators and the number of enterprises. New elements in the analysis include, among others, nonlinear impact and overlapping observations. The regression equations are estimated on the basis of Blundell and Bond’s GMM system estimator. The results generally indicate that stronger product market regulations (and theoretically lower product market competition) are linked with faster growth of output. However, the impact of product market competition on economic growth depends on the type of capitalism. For post-socialist countries, unlike the Western European model of capitalism, more regulation tends to reduce the rate of economic growth.     

Does PPP hold in African countries? Further evidence based on a highly dynamic non-linear (logistic) unit root test

With a view to investigating whether the purchasing power parity (PPP) theory holds true for selected African countries during the January 1980–December 2003 period, we employ a rigorous, highly dynamic non-linear (logistic) unit root test, as first advanced by Leybourne et al. (1998 Leybourne, S, Newbold, P and Vougas, D. 1998. Unit roots and smooth transitions. Journal of Time Series Analysis, 19: 83–97. [Crossref] , [Google Scholar]), which is considerably more powerful than those tests traditionally used. Compared with the rejection of the null of the unit root process for only one of the 22 countries under study when we use the traditional ADF, PP, KPSS, NP and the DF-GLS unit root tests, with the Leybourne et al. (1998 Leybourne, S, Newbold, P and Vougas, D. 1998. Unit roots and smooth transitions. Journal of Time Series Analysis, 19: 83–97. [Crossref] , [Google Scholar]) test, we strongly reject the null of the unit root process for a surprising six of the 22 countries. These empirical results clearly indicate that PPP holds true for these six countries, namely the Central African Republic, the Côte d’Ivoire, Kenya, Madagascar, Uganda and Lesotho.     

Is eco-efficiency in greenhouse gas emissions converging among European Union countries?

Eco-efficiency refers to the ability to produce more goods and services with less impact on the environment and less consumption of natural resources. This issue has become a matter of concern that is receiving increasing attention from politicians, scientists and researchers. Furthermore, greenhouse gases emitted as a result of production processes have a marked impact on the environment and are also the foremost culprit of global warming and climate change. This paper assesses convergence in eco-efficiency in greenhouse gas emissions in the European Union. Eco-efficiency is assessed at both country and greenhouse-gas-specific levels using Data Envelopment Analysis techniques and directional distance functions, as recently proposed by Picazo-Tadeo et al. (Eur J Oper Res, 220:798–809, 2012). Convergence is then evaluated using the Phillips and Sul (Econometrica, 75:1771–1855, 2007) approach that allows testing for the existence of convergence groups. Although the results point to the existence of different convergence clubs depending on the specific pollutant considered, they signal the existence of at least four clear groups of countries. The first two groups are core European Union high-income countries (Benelux, Germany, Italy, Austria, the United Kingdom and Scandinavian countries). A third club is made up of peripheral countries (Spain, Ireland, Portugal and Greece) together with some Eastern countries (Latvia and Slovenia), while the remaining clubs consist of groups containing Eastern European countries.     

Aggregation bias-correcting approach to the health–income relationship: Life expectancy and GDP per capita in 148 countries, 1970–2010

A large amount of data consisting of 148 countries for the years 1970 to 2010 is analysed in the context of the health–income relationship. The literature suggests that the biased income–health effect obtained with macro data can be a result of the aggregation of individual concave income functions on average health. This aggregation problem is analysed in detail, and a bias-correcting method is proposed to overcome it. The results with new model alternatives show that they correct the income effects on average health in the right direction; that is, they produce smaller parameter estimates than biased models. Augmenting the results with the quantile regression approach, which is sensitive to health differences between countries, indicates that the poorest countries’ income gradient is still much larger than that of rich countries. However, the median life expectancy effect of the log of GDP per capita across the countries decreased during the sample decennials. The results for income inequality measured with the Gini coefficient indicate that the effects of inequality on health are still significant in the poorest countries but non-significant among rich countries after the year 2000. We argue that the proposed bias-correcting method retains the interest in macro health modelling and offers new model alternatives in other contexts.     

Are shocks to foreign investment in developing countries permanent or temporary? : Evidence from panel unit root tests

We examine the time path of foreign direct and portfolio investment in developing countries to test if shocks have permanent or temporary effects. Our findings indicate that shock effects are temporary. The results are robust to the strictness of balance of payment controls.     

Was the recent downturn in US real GDP predictable?

This article uses a small set of variables – real GDP, the inflation rate and the short-term interest rate – and a rich set of models – atheoretical (time series) and theoretical (structural), linear and nonlinear, as well as classical and Bayesian models – to consider whether we could have predicted the recent downturn of the US real GDP. Comparing the performance of the models to the benchmark random-walk model by root mean-square errors, the two structural (theoretical) models, especially the nonlinear model, perform well on average across all forecast horizons in our ex post, out-of-sample forecasts, although at specific forecast horizons certain nonlinear atheoretical models perform the best. The nonlinear theoretical model also dominates in our ex ante, out-of-sample forecast of the Great Recession, suggesting that developing forward-looking, microfounded, nonlinear, dynamic stochastic general equilibrium models of the economy may prove crucial in forecasting turning points.     

How flexible are real wages in EU countries? A panel investigation

We estimate the degree of real wage flexibility in 19 EU countries in a wage Phillips curve panel framework. We find evidence for a reaction of wage growth to unemployment and productivity growth. The degree of real wage flexibility tends to be larger in the central and eastern European (CEE) countries than in the euro area; weaker in downturns than during upswings. There exists an inflation threshold, below which real wage flexibility is low. We also find that a part of the heterogeneity in real wage flexibility and unemployment may be related to differences in the wage bargaining institutions.     

Are economic growth and the variability of the business cycle related? Evidence from five European countries

We use a long series of annual data that span over 100 years to examine the relationship between output growth and its uncertainty in five European countries. Using the GARCH methodology to proxy uncertainty, we obtain two important results. First, more uncertainty about output leads to a higher rate of growth in three of the five countries. Second, output growth reduces its uncertainty in all countries except one. Our results are robust to alternative specifications and provide strong support to the recent emphasis by macroeconomists on the joint examination of economic growth and the variability of the business cycle.     

Is the consumption-income ratio stationary in African countries? Evidence from new time series tests that allow for structural breaks

This article examines whether the consumption-income ratio is stationary in 50 African countries. We use the residual augmented least squares (RALS-LM) unit root test that allows for structural breaks. The empirical evidence shows that the consumption income ratio is stationary around structural breaks in most (44 out of 50) African countries. This is consistent with the predictions of most economic theories. The general finding of mean reversion implies that (policy) shocks are likely to have only temporary effects on the consumption-income ratio in most African countries .     

How credible is inflation targeting in Asia? A quantile unit root perspective

This article examines the dynamic behavior of the inflation rate for eight Asian countries using a quantile unit root test. We advocate a three-way definition of inflation targeting based on perfect, imperfect and zero credibility and advance the analysis by incorporating a fully-fledged adoption of inflation targeting. In doing so, we offer new insights by showing that the credibility of inflation targeting and the alternative monetary policy frameworks in Asia are imperfect, except for Malaysia and South Korea under a fully-fledged adoption of inflation targeting. In contrast to past studies that focus on the mean-reversion in inflation rates, we also consider trend-reversion and find that Asian inflation targeting countries have been building up their monetary policy credibility more than the non- inflation targeting countries in terms of a faster rate of decline in inflation rate changes. Our results generally indicate the presence of mean reversion at the lower quantiles only. Where stationarity is present, we find evidence of a varied speed of adjustment process across the quantiles. Finally, we determine the threshold levels whereby inflation becomes stationary and demonstrate that Asian inflation rates generally display stationary behavior during periods of inflation declining or slowing down.