On the joint Fourier–ESTAR testing of PPP

The purchasing power parity (PPP) is the hypothesis that the real exchange rate series are stationary. This study briefly reviews and applies six competing unit root test procedures to test PPP. Reflecting the existing literature, the results are mixed. The Kiliç test is the most favourable while the Kapetanios, Shin, and Snell (KSS) test is the least favourable to PPP and the standard ADF test lies in between. The same conclusion applies to the Fourier extensions of those three tests. The results support a recently suggested F-test for the significance of Fourier terms in unit root test equations.     

A note on spurious nonlinear regression

This paper explores the power of two tests for nonlinearity against spurious nonlinear regression. Results show that while the BDS test is susceptible to spuriousness, an approach introduced by Peña and Rodriguez [Peña, D. and Rodriguez, J., 2005, Detecting nonlinearity in time series by model selection criteria, International Journal of Forecasting 21, 731–748.] is powerful, regardless of sample size.     

Market efficiency and the Euro: the case of the Athens stock exchange

The behaviour of an emerging market, the Athens Stock Exchange, after the introduction of the euro is investigated. The latter would make its returns easier to compare; reduce uncertainty; eliminate the exchange rate risk and as a result we expect the new currency to strengthen the argument, in favour of the EMH. The General ASE Composite Index and the FTSE/ASE 20, which consists of “high capitalisation” companies, are used. Five statistical tests are employed to test the residuals of the random walk model: the BDS, McLeod-Li, Engle LM, Tsay and Bicovariance test. Bootstrap and asymptotic values of these tests are estimated. Alternative models from the GARCH family (GARCH, EGARCH and TGARCH) are also presented in order to investigate the behaviour of the series. Lastly, linear, asymmetric and non-linear error correction models are estimated and compared. The preferred model (TGARCH) suggests that leverage effects are present and the news impact curve is asymmetric.     

Primary education and fertility rates

Unified growth theory advances that the transition from a Malthusian regime to sustained economic growth is characterized by technological progress and, amongst other things, by an increase in demand for human capital which in turn creates incentives for lower fertility rates. Bearing that in mind, I ask the question: has southern Africa escaped the Malthusian stagnation? Specifically, I study whether primary school completion rates have played any role in total fertility rates in all countries of the Southern African Development Community (SADC) during the 1980–2009 period. Contrary to conventional wisdom, the results, based on dynamic panel time‐series methods, suggest that primary education is associated with lower fertility in the SADC, or that the community is already trading‐off quantity for quality of children. Although I do not claim causality, overall the results are significant because, in accordance with unified growth theory, they suggest that the SADC is experiencing its own transition from the Malthusian stagnation epoch into sustained growth, or that the SADC is going through its own post‐Malthusian regime.     

Microeconomic consequences and macroeconomic causes of foreign direct investment in southern African economies

The authors use a new data set on firms in 13 countries of the Southern African Development Community (SADC) and comparators from other regions to identify the benefits and determinants of FDI in this region. Foreign Direct Investment (FDI) has facilitated local development in the SADC. Foreign-owned firms perform better than domestic firms, are larger, and locate in richer and better-governed countries and in countries with more competitive financial intermediaries. They are also more likely to export than domestic firms and evidence suggests that they might have positive spillover effects on domestic firms. Based on a standard empirical model, the SADC is attracting the inward FDI per capita that the region's level of income would predict. But this means that there are less capital inflows per capita to the region than there are to wealthier parts of the developing world. Moreover, the SADC is attracting less FDI than comparators for reasons that are possibly more fundamental than current income, namely, countries’ past growth record, demographic structure and the quality of physical infrastructure. Interestingly, inward FDI is less sensitive to variation in income within the SADC than in other parts of the world, but is more responsive to changes in country's openness to trade.     

Nonlinear behaviour of emerging market bonds spreads: the Latin American case

In this article we check for nonlinear behaviour of the 10 most important Latin American emerging market bonds spreads. Applying the Hinich portmanteau bicorrelation test, the BDS test and the Engle LM test, we observe systematic nonlinear structure in the spreads series. Our results suggest that the nonlinear serial dependencies are episodic in nature. All the stock returns series (with the exception of Mexico) are characterized by few brief periods of highly significant nonlinearity, followed by long time periods in which the returns follow a pure noise process. Our findings support the idea that, even in this well informed and sophisticated market, the weak-form of the efficient market hypothesis cannot be supported.     

中国证券市场非线性结构的实证检验

用BDS统计量进行实证检验,找到了我国证券市场对数收益率序列存在非线性结构的证据,并且通过稳定性分析和线性过滤后的BDS统计量检验,排除了由非平稳和线性依赖产生非线性结构的可能。说明我国证券市场的非线性结构类型只能是混沌或非线性随机过程。     

Testing the validity of PPP theory for African countries

This study examines the purchasing power parity theory for 14 African countries by applying a recent composite time series method that incorporates the Fourier approximation. The structural breaks are modelled as a gradual smooth process by means of a Fourier component. The Fourier unit root test failed to find any evidence showing that real exchange rates for these 14 countries have mean-reverting tendencies. However, both cointegration and Fourier cointegration tests detect a stable long-term relation between the nominal exchange rate and relative price levels for 8 out of 14 countries; moreover, for five countries Fourier component in cointegration analysis is found to suit quite well.     

Are house prices in South Africa really nonstationary? Evidence from SPSM-based panel KSS test with a Fourier function

This study applies the sequential panel selection method (SPSM) to investigate the time-series properties of provincial house prices for entire, large, medium and small middle-segments of South Africa. Quarterly time-series data were collected from nine provinces in South Africa for different house-size categories over the period of 1978.Q1 to 2012.Q4. Whereas other panel-based unit-root tests are joint tests of a unit root for all members of a panel and are incapable of determining the mix of integrated of order zero (I(0)) series and integrated of order one (I(1)) series in a panel setting, the SPSM proposed by Chortareas and Kapetanios (2009) can clearly identify how many and which series in the panel are stationary processes by classifying a whole panel into a group of stationary and nonstationary series. The empirical results from several panel-based, as well as standard pure time-series, unit-root tests, indicate that house prices for the nine provinces studied here are either stationary or nonstationary. However, results from the SPSM using the panel version of the Kapetanios et al. (KSS, 2003) test with a Fourier function unequivocally indicate that house prices are stationary for the nine provinces under study. Our test results have important economic and policy implications for South Africa.     

Panel LM unit root tests with level and trend shifts

This paper considers a Lagrange multiplier (LM) based panel unit root test that allows for heterogeneous structural breaks in both the intercepts and slopes of a series. We note that many popular time series variables are likely to exhibit changing means and/or trends over time. Given that the usual tests will depend on the nuisance parameters indicating the locations of the trend breaks, we adopt a transformation procedure that makes our new panel unit root tests invariant to the nuisance parameters. To illustrate the importance of the power gain provided by our test, we examine the convergence hypothesis using relative ratios of per capita health care expenditures in 20 OECD countries. Our results provide evidence that the convergence hypothesis is supported.     

Chaos in East European black market exchange rates

In this paper we test for deterministic chaos in seven East European black market exchange rates, using Koedijk and Kool's (1992, Journal of Business and Economic Statistics, 10, 83-96) monthly data from January 1955 through May 1990. In doing so we use three (non-parametric) inference methods, the BDS (Brocket al., 1996, Econometric Reviews, 15, 197-235) test for whiteness, the Lyapunov exponent estimator of Nychkaet al.(1992, Journal of the Royal Statistical Society, 12, 135-136) as well as the Lyapunov exponent estimator of Gencay and Dechert (1992, Physica D, 59, 142-157). We find some consistency in inference across methods, and we conclude, based on the Nychkaet al.(1992) estimator, that there is evidence consistent with a chaotic non-linear generation process in only two out of seven series.     

Steepness and deepness in the Australian macroeconomy

This study uses nonparametric tests - the triples test and the BDS test, to examine whether key Australian macroeconomic aggregates exhibit nonlinearities and important ‘steepness’ and ‘deepness’ asymmetries at the business cycle frequency., Evidence is found of nonlinearities but there is little evidence of deepness in the Australian macroeconomy., However, there is evidence of steepness, especially concerning labour market variables, as well as both the CPI and M3., The evidence suggests that unemployment (employment) rises (falls) rapidly in recessions and only recovers slowly over time., Also, positive asymmetries in M3 are reflected in similar asymmetries in the CPI but not in output, consumption or investment.     

A panel stationarity test with gradual structural shifts: Re-investigate the international commodity price shocks

This paper proposes a simple panel stationarity test which takes into account structural shifts and cross-section dependency. Structural shifts are modelled as gradual/smooth process with a Fourier approximation. The so-called Fourier panel stationarity test has a standard normal distribution. The Monte Carlo simulations indicate that (i) if the error terms are i.i.d, the test shows good size and power properties even in small samples; and (ii) if the error terms are serially correlated, the test has reasonable size and high power. We re-examine the behavior of the international commodity prices and find out an evidence on the persistence of shocks.     

The Feldstein–Horioka Puzzle and structural breaks: Evidence from EU members

The purpose of this paper is to investigate the level of capital mobility in European Union members using the Feldstein–Horioka puzzle proposed by Feldstein and Horioka (1980) in order to investigate relations between saving and investment flows. In this paper, data for 23 European countries were used over the period of 1995–2009 on the quarterly basis. Two different tests were used to estimate the stationarity of the model variables, which are the Ng and Perron (2001) unit root test procedure and approach proposed by Zivot and Andrews (1992) for unit root test allowing for a structural shift. Then the Kejriwal and Perron (2008, 2010) structural break test was applied to determine the presence of structural breaks in series. In most countries except Belgium and Finland UDmax and WDmax tests rejected the hypothesis of no breaks. To test the cointegration relationships between investment and saving flows of European Union members three different cointegration techniques were applied to the data. Firstly, the Johansen (1988) cointegration approach was used for the case of no cointegration shifts, then the Gregory and Hansen (1996) cointegration test was applied, which allows for one structural shift. Finally, again the Johansen' cointegration approach was used; however, this time with the inclusion of dummy variables related to earlier selected structural break locations. The empirical results provided stronger evidence of cointegration between investment and saving variables in the case of structural break accommodation compared to the case where the presence of structural breaks was ignored. The estimated saving retention coefficient in the presence of structural breaks using the Kejriwal and Perron (2008, 2010) approach appeared relatively low in many cases, illustrating by this the openness of estimated countries. In general, world and European countries with time have a tendency to a higher level of their capital market openness. Estimations of a saving retention coefficient in the presence of structural changes do not support the existence of the Feldstein–Horioka Puzzle in the considered EU countries, except Belgium.     

A new methodology for the logistic analysis of evolutionary S-shaped processes: Application to historical time series and forecasting

A new multi-logistic methodology to analyze long range time series of evolutionary S-shaped processes is presented. It conceptually innovates over the traditional logistic approach. The ansatz includes computing the residuals to an optimized multi-logistic trend curve least squares fitted to the time-series data. The elements of the residuals series are checked for autocorrelations and once detected the residuals series is further analyzed to search for eventual presence of underlying periodic structures using a truncated Fourier sine series. The method foundations ensures both a universal applicability and a capacity to disclose the existence of active clocks that can be possibly traced to the driving motors of the evolutionary character of the time series, due to the responsiveness of corresponding process to the development of economic cycles. On associating these two views, it is found that the methodology has a strong potential to improve the quality of short-term forecasts. These findings have been put to test through applications of the methodology to studying the time evolution of two commodities of strong economic and social importance (corn and steel) and good results were consistently obtained for both the analytical and forecasting aspects.     

An augmented autoregressive distributed lag bounds test for cointegration

An augmented autoregressive distributed lag (ARDL) bounds test for cointegration involves an extra F-test on the lagged levels of the independent variable(s) in the ARDL equation. Originally, this testing strategy was introduced using the bootstrap procedure. This paper provides both the small sample and asymptotic critical values for easier implementation of the test, making it applicable for a broader range of researchers. Two advantages of this augmented ARDL bounds test are that the assumption of an I(1) dependent variable is not necessary, and a clear conclusion on the cointegration status is provided by the three tests. The augmented ARDL bounds test is demonstrated using an empirical study on government taxation and expenditures. The tests support the tax-and-spend hypothesis of the budgetary policy for the US, the UK, and France.     

Time series analysis of monthly beef cattle prices with nonlinear autoregressive models

This paper analyses the dynamics underlying a time series of the monthly average beef cattle price received by producers in the State of São Paulo (Brazil). The time series under study records monthly prices since 1954. An exploratory analysis suggested that after a period of intense government intervention in the cattle and beef markets, the underlying dynamics seem to be settling to a pattern similar to the one observed prior to that period. In order to try to verify if the underlying dynamics after the interventionist phase are similar to those in former times, a forecasting procedure has been used based on nonlinear autoregressive models. This tye of models were used after the BDS test showed significant results which can be interpreted as nonlinearities in the data. The results discussed in the paper seem to suggest that after a period of intense interventions that lasted over two decades, the current underlying dynamics are close (from a forecasting point of view) to those observed more than thirty years ago.     

Misleading Inferences from Panel Unit-Root Tests with an Illustration from Purchasing Power Parity

Simulations demonstrate that when unit-root behavior is rejected in a Levin and Lin panel test, it is incorrect to infer that all series are stationary. Recent tests proposed by Im, Pesaran and Shin, and by Sarno and Taylor, are also incapable of determining the mix of I (0) and I (1) series in a panel setting. This paper introduces a new unit-root test that allows the researcher to discern which series are I (0) and which ones are I (1). The test has double to triple the power of single-equation augmented Dickey–Fuller tests.     

Testing spatial regression models under nonregular conditions

In time series context, estimation and testing issues with autoregressive and moving average (ARMA) models are well understood. Similar issues in the context of spatial ARMA models for the disturbance of the regression, however, remain largely unexplored. In this paper, we discuss the problems of testing no spatial dependence in the disturbances against the alternative of spatial ARMA process incorporating the possible presence of spatial dependence in the dependent variable. The problems of conducting such a test are twofold. First, under the null hypothesis, the nuisance parameter is not identified, resulting in a singular information matrix (IM), which is a nonregular case in statistical inference. To take account of singular IM, we follow Davies (Biometrika 64(2):247–254, 1977; Biometrika 74(1):33–43, 1987) and propose a test procedure based on the supremum of the Rao score test statistic. Second, the possible presence of spatial lag dependence will have adverse effect on the performance of the test. Using the general test procedure of Bera and Yoon (Econom Theory 9:649–658, 1993) under local misspecification, we avoid the explicit estimation of the spatial autoregressive parameter. Thus our suggested tests are entirely based on ordinary least squares estimation. Tests suggested here can be viewed as a generalization of Anselin et al. (Reg Sci Urban Econ 26:77–104, 1996). We conduct Monte Carlo simulations to investigate the finite sample properties of the proposed tests. Simulation results show that our tests have good finite sample properties both in terms of size and power, compared to other tests in the literature. We also illustrate the applications of our tests through several data sets.     

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.