Time-specific disturbances and cross-sectional dependency in a small-sample heterogeneous panel data unit root test

In their seminal work, Im et al. (1997 Im, KS, Pesaran, MH and Shin, Y. 1997. Testing for unit roots in heterogeneous panels. 1997. Working paper, Department of Applied Economics, University of Cambridge. Mimeographed [Google Scholar], 2003 Im, KS, Pesaran, MH and Shin, Y. 2003. Testing for unit roots in heterogeneous panels. Journal of Econometrics, 115: 53–74. [Crossref], [Web of Science ®] , [Google Scholar]) suggested that time series for several cross-sectional units could be used to increase the power of the Dickey--Fuller unit root test. They argued that when cross-sectional correlation is a problem that can be modelled by a time-specific factor, demeaning across the cross-sectional units can solve the problem. In this study, this proposition is proven valid, but it is also shown that previously supplied standardizing moments are inappropriate when the number of cross-sections are small, causing size to differ from the significance level. To correct this size distortion, the current paper supplies response surface parameters that can be used to obtain moments that are valid when a time-specific factor suffices for modelling cross-sectional correlation in the heterogeneous panel data unit root framework. The correct size of the panel data unit root test comes at the cost of a somewhat lower power against a stationary alternative.     

The J-Curve phenomenon in European transition economies: A nonlinear ARDL approach

This article examines the J-curve phenomenon for 16 European transition economies. While previous studies assume a linear relationship between the exchange rate and the trade balance, this paper allows for nonlinearity. Following Bahmani-Oskooee and Fariditavana (2015 Bahmani-Oskooee, M., and H. Fariditavana. 2015. “Nonlinear ARDL Approach, Asymmetric Effects and the J-curve.” Journal of Economic Studies 42 (3): 519–530. doi:10.1108/JES-03-2015-0042.[Crossref], [Web of Science ®] , [Google Scholar], 2016 Bahmani-Oskooee, M., and H. Fariditavana. 2016. “Nonlinear ARDL Approach and the J-curve Phenomenon.” Open Economies Review 27 (1): 51–70. doi:10.1007/s11079-015-9369-5.[Crossref], [Web of Science ®] , [Google Scholar]), the empirical method used is the nonlinear cointegrating autoregressive distributed lag (NARDL) model of Shin et al. (2013 Shin, Y., B. Yu, and M. J. Greenwood-Nimmo. 2013. “Modelling Asymmetric Cointegration and Dynamic Multipliers in a Nonlinear ARDL Framework.” In Festschrift in Honor of Peter Schmidt, edited by William C. Horrace and Robin C. Sickles. New York, NY: Springer Science and Business Media. [Google Scholar]) in which short-run and long-run nonlinearities are introduced via positive (appreciation) and negative (depreciation) partial sum decompositions of the real exchange rate. We argue that the lack of support for the J-curve phenomenon could be due to the linearity assumption. This issue is examined by utilizing the linear and the NARDL models. Using the linear autoregressive distributed lag (ARDL) model, we are unable to find support for the J-curve phenomenon in any case. However, when the NARDL model is used, we are able to find evidence for the J-curve in 12 out of the 16 countries. This suggests that allowing for nonlinearity in the adjustment process is important when studying the J-curve phenomenon.     

Nonlinearity in real exchange rates: an approach with disaggregated data and a new linearity test

Employing disaggregated real exchange rates from nine European counties in 16 goods categories, we assess in this study the nonlinearity in the real exchange rates. Surprisingly, we find evidence for nonlinearity in only four (10) out of 143 series with the linearity test proposed by Harvey et al. (2008 Harvey, D. I., Leybourne, S. J. and Xiao, B. 2008. A powerful test for linearity when the order of integration is unknown. Studies in Nonlinear Dynamics and Econometrics, 12 Art 8[Web of Science ®] , [Google Scholar]) at the 5% (10%) significance level. This result differs greatly from those of Juvenal and Taylor (2008 Juvenal, L. and Taylor, M. P. 2008. Threshold adjustment of deviations from the law of one price. Studies in Nonlinear Dynamics and Econometrics, 12 Art 8[Web of Science ®] , [Google Scholar]), Imbs et al. (2003 Imbs, J., Mumtaz, H., Raven, M. O. and Rey, H. 2003. Nonlinearities and real exchange rate dynamics. Journal of the European Economic Association, 1: 639–49. [Crossref] , [Google Scholar]), Sarno et al. (2004 Sarno, L., Taylor, M. P. and Chowdhury, I. 2004. Nonlinear dynamics in deviations from the law of one price: a broad-based empirical study. Journal of International Money and Finance, 23: 1–25. [Crossref], [Web of Science ®] , [Google Scholar]) and Berka (2009 Berka, M. 2009. “Non-linear adjustment in law of one price deviations and physical characteristic of good”. In Review of International Economics Vol. 17, 51–73.  [Google Scholar]), who report ample evidence for nonlinearity for the same or similarly disaggregated real exchange rate datasets.     

Malmquist productivity index decompositions: a unifying framework

In two widely cited but unpublished working papers, Simar and Wilson (1998 Shephard, R. 1970. Theory of Cost and Production Functions, New Jersey: Princeton University Press.  [Google Scholar]) and Zofío and Lovell (1998 Wheelock, D and Wilson, PW. 1999. Technical progress, inefficiency, and productivity change in U.S. banking, 1984–1993. Journal of Money, Credit and Banking, 31: 212–34. [Crossref], [Web of Science ®] , [Google Scholar]) proposed an alternative decomposition of the Malmquist Productivity Index, which retained what seemed to be the strongholds of previous proposals with regard to the contribution of technological and efficiency change to productivity change. Namely, a technical change term with regard to the best practice variable returns to scale (VRS) technology, which is to be found in Ray and Desli (1997 Ray, S. Sept. 2001. “On an extended decomposition of the malmquist productivity index”. In Paper Presented at the Seventh European Workshop on Efficiency and Productivity, Sept., 25–29. Oviedo: Universidad de Oviedo.  [Google Scholar]) and a scale efficiency change term that illustrates a firm's situation with regard to optimal scale (benchmark technology), Färe et al . (1994 Färe, R, Grosskopf, S and Norris, M. 1997. Productivity growth, technical progress, and efficiency change in industrialized countries: reply. American Economic Review, 87: 1040–43. [Web of Science ®] , [Google Scholar]). Attaining this objective required the introduction of an additional term in the Malmquist Productivity Index decomposition, which would reflect the scale bias of technical change. It is our objective to provide economic rationale for this term within a theory of production context, the existing decompositions and recent articles that further elaborate on this issue. The ideas are illustrated using productivity trends in 17 OECD countries.     

Purchasing power parity for G-7 countries: panel SURADF tests

In this study, the panel Seemingly Unrelated Regressions Augmented Dickey–Fuller (SURADF) tests advanced by Breuer et al. (2001 Breuer, J. B., McNown, R. and Wallace, M. S. 2001. Misleading inferences from panel unit-root tests with an illustration from purchasing power parity. Review of International Economics, 9: 482–93. [Crossref] , [Google Scholar]) are used to test the validity of Purchasing Power Parity (PPP) for G-7 countries over the period 1980M1 to 2008M5. The empirical results from several panel-based unit root tests indicate that PPP does not hold for G-7 countries under study; however, Breuer et al.'s (2001 Breuer, J. B., McNown, R. and Wallace, M. S. 2001. Misleading inferences from panel unit-root tests with an illustration from purchasing power parity. Review of International Economics, 9: 482–93. [Crossref] , [Google Scholar]) panel SURADF tests unequivocally indicate that PPP is valid for half of the G-7 countries.     

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.     

Will the skill-premium in the Netherlands rise in the next decades?

While the skill-premium has been rising sharply in the US and the UK for 20 years, the Dutch skill-premium decreased for much of that period and only started to rise in the early 90s. In this article, we investigate whether the Dutch skill-premium will rise in the next decades. To answer this question, we forecast the skill-premium using the Katz and Murphy (1992 Katz, L and Murphy, K. 1992. Changes in relative wages, 1963–1987: supply and demand factors. Quarterly Journal of Economics, 107: 35–78. [Crossref], [Web of Science ®] , [Google Scholar]) and the Krusell et al. (2000 Krusell, P, Ohanian, L, Ríos-Rull, J-V and Violante, G. 2000. Capital-skill complementarity and inequality: a macroeconomic analysis. Econometrica, 68: 1029–53. [Crossref], [Web of Science ®] , [Google Scholar]) models. The Katz and Murphy model (KM) explains demand shifts by skill-biased technological change in unobservable variables captured by a time trend. In contrast, the Krusell et al. model (KORV) explains demand shifts by (observable) changes in the capital stock under a capital-skill complementarity technology. The results show that while the KM model predicts that the skill-premium will have increased by 30% in 2020, based on realistic predictions of the stock of capital, the KORV model predicts that the skill-premium will remain between ?5 and +5% of its 1996 level.     

Nonlinear Mean Reversion across National Stock Markets: Evidence from Emerging Asian Markets

This paper seeks empirical evidence of nonlinear mean-reversion in relative national stock price indices for Emerging Asian countries. It is well known that conventional linear unit root tests suffer from low power against the stationary nonlinear alternative. Implementing the nonlinear unit root tests proposed by Kapetanios et al. (2003 Kapetanios, G., Shin, Y. and Snell, A. 2003. Testing for a unit root in the nonlinear STAR framework. Journal of Econometrics, 112: 359–379. [Crossref], [Web of Science ®] , [Google Scholar]) and Cerrato et al. (2009 Cerrato, M., de Peretti, C., Larsson, R. and Sarantis, N. 2009. “A nonlinear panel unit root test under cross section dependence”. Working Papers 28, Department of Economics, University of Glasgow [Google Scholar]) for the relative stock prices of Emerging Asian markets, we find strong evidence of nonlinear mean reversion, whereas linear tests fail to reject the unit root null for most cases. We also report some evidence that stock markets in China and Taiwan are highly localized.     

Multiple product qualities in monopoly: Sailing the RMS Titanic into the economics classroom

In this pedagogical contribution the authors extend the traditional three-class tariff employed in the French passenger railway system with the more resonant story of the service quality variations associated with the three passenger classes of the ill-fated RMS Titanic. In doing so, they provide economics instructors with an opportunity to integrate the well-known motion picture Titanic (Cameron and Landau 1997 Cameron, J., and J. Landau. 1997. Titanic. Los Angeles: 20th Century Fox, Paramount Pictures, and Lightstorm Entertainment. [Google Scholar]) into the teaching of economics. This article provides instructors with resources that can be used to link historical and modern travel examples of price discrimination in order for students to reach a “deeper understanding of course concepts” (Salemi 2002 Salemi, M. K. 2002. An illustrated case for active learning. Southern Economic Journal 68 (3): 721–31.[Crossref], [Web of Science ®] , [Google Scholar], 725).     

An Evaluation of Institutional Matrices Theory Which Was Designed to Illustrate Differences Between Russian and Western Political Economies

This article is devoted to the evaluation of the institutional matrices theory (IMT), which was designed to illustrate the differences between Russian and Western political economic systems. IMT has no matrix, and it is an ideological declaration rather than a theory. It is a set of assertions and assumptions that are adopted without evidence, and then hypostatized to be Russian and Western socioeconomic systems. IMT literature claims to utilize the reciprocity, redistribution, and exchange model of Karl Polanyi (1944 Polanyi, Karl. The Great Transformation. New York, NY: Rinehart &; Company, 1944. [Google Scholar], 1957 Polanyi, Karl. “The Economy as Instituted Process.” In Trade and Market in the Early Empires: Economies in History and Theory, edited by Karl Polanyi, Conrad M. Arensberg and Harry W. Pearson, pp. 239-270. New York, NY: Free Press, 1957. [Google Scholar]). However, IMT suffers from a number of assumptive and methodological problems in its application, the first of which consists of the complete exclusion of reciprocity from consideration. The first section of the article is an explanation of problems with IMT, and the second section demonstrates some particulars of the IMT problems with a real-world social fabric matrix from a Western nation.     

Within-groups wage inequality and schooling: further evidence for Portugal

This article provides further evidence on the positive impact of schooling on within-groups wage dispersion in Portugal, using data on male workers from the 2001 wave of the European Community Household Panel. The issue of schooling endogeneity is taken into account by using the latest available instrumental-variable technique for quantile regression, i.e. the control-function estimator due to Lee (2007 Lee, S. 2007. Endogeneity in quantile regresssion models: a control function approach. Journal of Econometrics, 141: 1131–58. [Crossref], [Web of Science ®] , [Google Scholar]). The findings are compared with earlier results based on different techniques, i.e. the instrumental-variable estimator due to Arias et al. (2001 Arias, O, Hallock, KF and Sosa-Escudero, W. 2001. Individual heterogeneity in the returns to schooling: instrumental variables quantile regression using twins data. Empirical Economics, 26: 7–40. [Crossref] , [Google Scholar]) and the standard exogeneity-based estimator due to Koenker and Bassett (1978 Koenker, R and Bassett, G. 1978. Regression quantiles. Econometrica, 46: 33–50. [Crossref], [Web of Science ®] , [Google Scholar]).     

Ownership herding and informational herding

This article takes as its point of departure the herding model of Bikhchandani et al. (1992 Bikhchandani, S., Hirshleifer, D. and Welch, I. 1992. A theory of fads, fashion, custom, and cultural change as informational cascades. Journal of Political Economy, 100: 992–1026. [Crossref], [Web of Science ®] , [Google Scholar]). We extend earlier experimental evidence to distinguish between informational herding, as in the model, and ownership herding, an alternative explanation for observed behaviour.     

Impatience and Inconsistency in Intertemporal Choice: An Experimental Analysis

In this article the experiment carried out by Takahashi et al. [2009 Takahashi, T., T. Hadzibeganovic, S. A. Cannas, T. Makino, H. Fukui, and S. Kitayama. “Cultural Neuroeconomics of Intertemporal Choice.” Neuroendocrinology Letters, 30, (2009), pp. 185–191.[PubMed], [Web of Science ®] , [Google Scholar]] is replicated to analyze the influence of culture, gender, origin (urban or rural), and socioeconomic level on the impulsivity and consistency of decision-making processes concerning monetary gains and losses. The results indicate that Spanish students show inconsistency, and more impulsivity over gains (i.e., more impatience, as they discount delayed outcomes more rapidly) than do Japanese and American students. Additionally, participants from urban areas show more impatience over gains than do participants from rural ones, women are more impatient than men are over losses, and participants of different socioeconomic levels show differences in their impulsivity parameters.     

Flexible Fourier stationary test in purchasing power parity for African countries

This study applies stationary test with a Fourier function proposed by Enders and Lee (2004 Enders, W and Lee, J. 2004. Testing for a unit root with a nonlinear Fourier function, Tuscaloosa, AL, , USA: Working Paper, Department of Economics, Finance and Legal Studies, University of Alabama.  [Google Scholar], 2009 Enders, W and Lee, J. 2009. The flexible Fourier form and testing for unit roots: an example of the term structure of interest rates, Tuscaloosa, AL, , USA: Working Paper, Department of Economics, Finance and Legal Studies, University of Alabama.  [Google Scholar]) to test the validity of long run Purchasing Power Parity (PPP) to assess the nonstationary properties of the real exchange rate for 20 African countries. We find that our approximation has higher power to detect U shaped breaks and smooth breaks than linear method if the true data generating process of exchange rate is in fact a stationary nonlinear process. We examine the validity of PPP from the nonlinear point of view and provide robust evidence clearly indicate that PPP holds true for almost African countries. Our findings point out their exchange rate adjustment is mean reversion towards PPP equilibrium values in a nonlinear way.     

The persistence of Taiwan's output fluctuations: an empirical study using innovation regime-switching model

In this article we examine the persistence nature of Taiwan's aggregate output fluctuations by using the ‘innovation regime-switching’ (IRS) model in which the effect of an innovation may be permanent or transitory, depending on an unobservable state variable that follows a first order Markov chain. By applying the IRS model to Taiwan's real GDP data, we find that during the 1961 to 2000 period 61% (39%) of the real output shocks are likely to have permanent (transitory) effects. Moreover, the innovations in the officially identified expansion (contraction) are more likely to have a permanent (transitory) effect. These results are similar to those found in many studies of US real output fluctuations, e.g. Beaudry and Koop (1993 Beaudry, P and Koop, G. 1993. Do recessions permanently change output?. Journal of Monetary Economics, 31: 149–63. [Crossref], [Web of Science ®] , [Google Scholar]), Kim and Nelson (1999 Kim, C-J and Nelson, CR. 1999. Friedman's plucking model of business fluctuations: tests and estimates of permanent and transitory components. Journal of Money, Credit and Banking, 31: 317–34.  [Google Scholar]) and Kuan et al. (2005 Kuan, C-M, Huang, Y-L and Tsay, RS. 2005. An unobserved component model with switching permanent and transitory innovations. Journal of Business and Economic Statistics, 23: 443–54. [Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]). However, we also find that Taiwan's output dynamics have changed drastically ever since year 2000. In particular, the shocks to real GDP have become more likely to have only transitory effect, even during the period of post-2001:IV expansion.     

Underground Economy,Evasion and Inequality

Economic theory is paying increasing attention to a non-observed economy (NOE) and its causes. Recently, a couple of works (Rosser et al., 2000 Rosser, J. B., Rosser, M. V. and Ahmed, E. 2000. Income inequality and the informal economy in transitions economies. Journal of Comparative Economics, 28(1): 156–171.  [Google Scholar], 2003 Rosser, J. B., Rosser, M. V. and Ahmed, E. 2003. Multiple unofficial economy equilibria and income distribution dynamics in systemic transition. Journal of Post Keynesian Economics, 25(3): 425–447. [Web of Science ®] , [Google Scholar]) have claimed that there is a positive relationship between income inequality and the size of NOE. This supposed relationship is not so clear and deserves in-depth analysis. There is a crucial aspect that has been completely avoided in these studies: income inequality is mainly measured using ‘regular’ incomes and this fact could lead to some bias. The existence of a certain size of NOE implies some income evasion that can affect the inequality indexes used in the study of the relationship between NOE and inequality. Including the regional share of NOE in a wage equation, I find that, in the specific case of the Italian private sector employees, the income evasion attached to NOE tends to reduce inequality measured by regular wages statistics.     

Modelling the dynamics of EU economic sentiment indicators: an interaction-based approach

This article estimates a simple univariate model of expectation or opinion formation in continuous time adapting a ‘canonical’ stochastic model of collective opinion dynamics (Weidlich and Haag, 1983 Weidlich, W, and Haag, G, 1983. Concepts and Models of a Quantitative Sociology. Berlin: Springer; 1983.[Crossref] , [Google Scholar]; Lux, 1995 Lux, T, 1995. Herd behavior, bubbles and crashes, The Economic Journal 105 (1995), pp. 881–96.[Crossref], [Web of Science ®] , [Google Scholar], 2009a Lux, T, 2009a. Rational forecasts or social opinion dynamics? Identification of interaction effects in a business climate survey, Journal of Economic Behavior and Organization 72 (2009a), pp. 638–55.[Crossref], [Web of Science ®] , [Google Scholar]). This framework is applied to a selected data set on survey-based expectations from the rich EU business and consumer survey database for 12 European countries. The model parameters are estimated through Maximum Likelihood (ML) and numerical solution of the transient probability density functions for the resulting stochastic process. The model's success is assessed with respect to its out-of-sample forecasting performance relative to univariate Time Series (TS) models of the Autoregressive Moving Average model, ARMA(p,?q) and Autoregressive Fractionally Integrated Moving Average, ARFIMA(p,?d,?q) varieties. These tests speak for a slight superiority of the canonical opinion dynamics model over the alternatives in the majority of cases.     

Towards solving the PPP puzzle: evidence from 113 countries

Several different approaches have been followed by researchers to test the validity of Purchasing Power Parity (PPP). Since the introduction of the unit-root tests, researchers have applied a battery of these tests to determine whether the real exchange rates are stationary. If the answer is in the affirmative, PPP is validated. While application of the standard augmented Dickey–Fuller test has not provided much support for PPP, a test that incorporates nonlinearity in the rates has. Under both tests, however, the null of nonstationary is tested against the alternative of stationarity. In this article, when we switch the null with the alternative and apply Kwiatkowski et al. (1992 Kwiatkowski, D, Phillips, PCB, Schmidt, P and Shin, Y. 1992. Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics, 54: 159–78. [Crossref], [Web of Science ®] , [Google Scholar]) test, we provide relatively more support for the theory, getting closer and closer towards solving the PPP puzzle.     

Estimated non-linearities and multiple equilibria in a model of distributive-demand cycles

We introduce the results of a non-parametric estimate of the US wage-Phillips Curve into a simplified version of the model of the wage-price spiral by Flaschel and Krolzig (2008). Making use of Okun’s law, the non-linearity in the wage inflation-employment relation translates into a non-linearity in the so-called ‘distributive curve’ of the economy. Exploiting the observed non-linearity in extending an otherwise standard demand-distribution model (Taylor 2004 Taylor, Lance. 2004. Reconstructing macroeconomics. structuralist proposals and critique of the mainstream, Cambridge, MA: Harvard University Press.  [Google Scholar]), we provide a dynamical analysis both in wage-led and profit-led effective demand regimes. In a profit-led scenario, shown to be the empirically relevant case for the US economy, there are two stable equilibria of Goodwin (1967 Goodwin, R.M. 1967. “A growth cycle”. In Socialism, capitalism and economic growth, Edited by: Feinstein, C.H. Cambridge, , UK: Cambridge University Press.  [Google Scholar]) growth cycle type, identified as a stable depression and a stable boom, and a saddle-path stable equilibrium in between them. Both stable steady states are surrounded by trajectories that cycle counterclockwise around their basins of attraction. The obtained type of growth fluctuations can be verified by a long phase cycle estimation for the US economy using a method developed by Kauermann, Teuber and Flaschel (2008 Kauermann, G., Teuber, T. and Flaschel, P. 2008. “Estimating loops and cycles using penalized splines”. Bielefeld: CEM working paper.  [Google Scholar]).     

Comparisons of robust tests for shifts in trend with an application to trend deviations of real exchange rates in the long run

We study the finite sample properties of tests for structural changes in the trend function of a time series that do not require knowledge of the degree of persistence in the noise component. The tests of interest are the quasi-Feasible Generalized Least Squares (FGLS) procedure by Perron and Yabu (2009b Perron, P and Yabu, T. 2009b. Testing for shifts in trend with an integrated or stationary noise component. Journal of Business and Economic Statistics, 27: 369–96. [Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]) and the weighted average of the regression t-statistics by Harvey et al. (2009 Harvey, DI, Leybourne, SJ and Taylor, AMR. 2009. Simple, robust, and powerful tests of the breaking trend hypothesis. Econometric Theory, 25: 995–1029. [Crossref], [Web of Science ®] , [Google Scholar]), both of which have the same limit distribution whether the noise component is stationary or has a unit-root. We analyse the finite sample size and power properties of these tests under a variety of Data-Generating Processes (DGPs). The results show that the Perron–Yabu test has greater power overall. With respect to the size, the Harvey–Leybourne–Taylor test exhibits larger size distortions unless a moving-average component is present. Using the Perron and Yabu procedure to test for structural changes in the trend function of long-run real exchange rates with respect to the US dollar indicates that for 17 out of 19 countries, the series have experienced a shift in trend since the late nineteenth century.