Hysteresis and stochastic convergence in Eurozone unemployment rates: evidence from panel unit roots with smooth breaks and asymmetric dynamics
DOI:
https://doi.org/10.24136/oc.2022.001Keywords:
unemployment hysteresis, stochastic convergence, gradual breaks, asymmetric adjustment, panel unit rootAbstract
Research background: Studying the dynamic characteristics of unemployment rate is crucial for both economic theory and macroeconomic policies. Despite numerous research, the empirical evidence about stochastic behaviour of the unemployment rate remains disputable. It has been widely agreed that most economic variables, including unemployment rates, are characterized by both structural breaks and nonlinearities. However, a little work is done to examine both features simultaneously.
Purpose of the article: In this paper, we analyse the stationarity properties of unemployment rates of Euro area member countries. Also, we aim to test stochastic convergence of unemployment rates among member countries. Our empirical procedures explicitly allow for simultaneous gradual breaks and nonlinearities in the series.
Methods: This paper develops a new unit root test procedure for panel data, allowing for both gradual structural breaks and asymmetric adjustment towards equilibrium. We carry out Monte Carlo simulations to examine small sample performance of the proposed test procedure and compare it to the existing test procedures. We apply the newly proposed test to examine the stochastic properties of the unemployment rates of Euro-member countries as well as relative unemployment rates vis-?-vis the Eurozone unemployment rate.
Findings & value added: We find that the newly developed test procedure outperforms existing tests in highly nonlinear settings. Also, these tests reject the null hypothesis of unit root in more cases when compared to the existing tests. We find stationarity in the series only after allowing for structural breaks in the data generating process. Allowing for nonlinear and asymmetric adjustment in addition to gradual breaks provides evidence of stationarity in more cases. Furthermore, our results suggest that relative unemployment rate series are stationary, providing evidence in favour of stochastic convergence in unemployment rates. Overall, our results imply a limited room for coordinated economic policy to fight unemployment in the Eurozone.
Downloads
References
Akdo?an, K. (2017). Unemployment hysteresis and structural change in Eu-rope. Empirical Economics, 53(4), 1415?1440. doi: 10.1007/s00181-016-1171-8. DOI: https://doi.org/10.1007/s00181-016-1171-8
View in Google Scholar
Bai, J., & Carrion-i-Silvestre, J. L. (2009). Structural changes, common stochastic trends, and unit roots in panel data. Review of Economic Studies, 76(2), 471?501. doi: 10.1111/j.1467-937X.2008.00530.x. DOI: https://doi.org/10.1111/j.1467-937X.2008.00530.x
View in Google Scholar
Basawa, I. V., Mallik, A. K., McCormick, W. P., Reeves, J. H., & Taylor, R. L. (1991). Bootstrapping unstable first order autoregressive processes. Annals of Statistics, 19(2), 1098?1101. doi: 10.1214/aos/1176348142. DOI: https://doi.org/10.1214/aos/1176348142
View in Google Scholar
Beyer, R. C. M., & Stemmer, M. A. (2016). Polarization or convergence? An analysis of regional unemployment disparities in Europe over time. Economic Modelling, 56(c), 373?381. doi: 10.1016/j.econmod.2016.02.027. DOI: https://doi.org/10.1016/j.econmod.2016.02.027
View in Google Scholar
Blanchard, O. J., & Summers, L. (1986). Hysteresis and the European unemployment problem. In S. Fischer (Ed.). NBER macroeconomics annual. Cambridge, MA: MIT Press, 15?78. DOI: https://doi.org/10.1086/654013
View in Google Scholar
Blanchard, O. J. (1991). Wage bargaining and unemployment persistence. Journal of Money, Credit and Banking, 23(3), 277?292. doi: 10.2307/1992746. DOI: https://doi.org/10.2307/1992746
View in Google Scholar
Blanchard, O. J., & Katz. L. F. (1997). What we know and do not know about the natural rate of unemployment. Journal of Economic Perspectives, 11(1), 51?72. doi: 10.1257/jep.11.1.51. DOI: https://doi.org/10.1257/jep.11.1.51
View in Google Scholar
Brunello, G. (1990). Hysteresis and the Japanese unemployment problem: a pre-liminary investigation. Oxford Economic Papers, 42(3), 483?500. doi: 10.1093/ oxfordjournals.oep.a041959. DOI: https://doi.org/10.1093/oxfordjournals.oep.a041959
View in Google Scholar
Caner, M., & Hansen, B.E. (2001). Threshold autoregression with a unit root. Econometrica, 69(6), 1555?1596. doi: 10.1111/1468-0262.00257. DOI: https://doi.org/10.1111/1468-0262.00257
View in Google Scholar
Camarero, M., & Tamarit, C. (2004). Hysteresis vs. natural rate of unemployment: new evidence for OECD countries. Economics Letters, 84(3), 413?417. doi: 10.1016/j.econlet.2004.02.014. DOI: https://doi.org/10.1016/j.econlet.2004.02.014
View in Google Scholar
Carrera, D. R., & Rodriguez, G. (2009). Have European unemployment rates con-verged? Banco Central de Reserva del Perú Working Papers, 2009-007.
View in Google Scholar
Cerrato, M., Peretti. C. De., & Sarantis, N. (2007). A nonlinear panel unit root test under cross section dependence. Centre for International Capital Markets Discussion Papers, 2007-14.
View in Google Scholar
Chang, T. (2011). Hysteresis in unemployment for 17 OECD countries: stationary test with a fourier function. Economic Modelling, 28(5), 2208?2214. doi: 10.10 16/j.econmod.2011.06.002. DOI: https://doi.org/10.1016/j.econmod.2011.06.002
View in Google Scholar
Chortareas, G., & Kapetanios, G. (2009). Getting PPP right: identifying mean-reverting real exchange rates in panels. Journal of Banking and Finance, 33(2), 390?404. doi: 10.1016/j.jbankfin.2008.08.010. DOI: https://doi.org/10.1016/j.jbankfin.2008.08.010
View in Google Scholar
Ça?layan Akay., E., Oskonbaeva, Z., & Bülbül, H. (2020). What do unit root tests tell us about unemployment hysteresis in transition economies? Applied Economic Analysis, 28(84), 221?238. doi: 10.1108/AEA-05-2020-0048. DOI: https://doi.org/10.1108/AEA-05-2020-0048
View in Google Scholar
Delong, B. J., & Summers, L. H. (2012). Fiscal policy in a depressed economy. Brookings Papers on Economic Activity, 43(1), 233?297. doi: 10.1353/eca.2 012.0000. DOI: https://doi.org/10.1353/eca.2012.0000
View in Google Scholar
Emirmahmutoglu, F., & Omay, T. (2014). Reexamining the PPP hypothesis: a nonlinear asymmetric heterogeneous panel unit root test. Economic Modelling, 40, 184?190. doi: 10.1016/j.econmod.2014.03.028. DOI: https://doi.org/10.1016/j.econmod.2014.03.028
View in Google Scholar
Estrada, Á., Galí, J., & López-Salido, D. (2013). Patterns of convergence and divergence in the euro area. IMF Economic Review, 61(4), 601?663. doi: 10.1057/imfer.2013.22. DOI: https://doi.org/10.1057/imfer.2013.22
View in Google Scholar
European Commission (2020). European economic forecast: European economy (Report No. 132). Economic and financial affairs. Retrieved from https://ec.europa.eu/info/publications/european-economic-forecast-summer-202 0en.
View in Google Scholar
Franchia, M., & Ordó?ez, J. (2008). Common smooth transition trend-stationarity in European unemployment. Economics Letters, 101(2), 106?109. doi: 10.1016 /j.econlet.2008.06.018. DOI: https://doi.org/10.1016/j.econlet.2008.06.018
View in Google Scholar
Friedman, M. (1968). The role of monetary policy. American Economic Review, 58(1), 1?17.
View in Google Scholar
Furuoka, F. (2017). A new test for analysing hysteresis in European unemployment. Applied Economics Letters, 24(15), 1102?1106. doi: 10.1080/13504851.2016.1257209. DOI: https://doi.org/10.1080/13504851.2016.1257209
View in Google Scholar
Im, K. S., Pesaran, M. H., & Shin, Y. (2003). Testing for unit roots in heterogeneous panels. Journal of Econometrics, 115(1), 53?74. doi: 10.1016/S0304-4076( 03)00092-7. DOI: https://doi.org/10.1016/S0304-4076(03)00092-7
View in Google Scholar
Im, K. S., Lee, J., & Tieslau, M. (2005). Panel LM unit-root tests with level shifts. Oxford Bulletin of Economics and Statistics, 67(3), 393?419. doi: 10.1111/j.14 68-0084.2005.00125.x. DOI: https://doi.org/10.1111/j.1468-0084.2005.00125.x
View in Google Scholar
Jiang, Y., Yifei, C., Peng, Y-T., & Chang, T. (2019). Testing hysteresis in unemployment in G7 countries using quantile unit root test with both sharp shifts and smooth breaks. Social Indicators Research, 142(3), 1211?1229. doi: 10.1007/s1 1205-018-1948-6. DOI: https://doi.org/10.1007/s11205-018-1948-6
View in Google Scholar
Kapetanios, G., Shin, Y., & Snell, A. (2003). Testing for a unit root in the nonlinear STAR framework. Journal of Econometrics, 112(2), 359?379. doi: 10.1016/S0304-4076(02)00202-6. DOI: https://doi.org/10.1016/S0304-4076(02)00202-6
View in Google Scholar
Keynes, J. M. (1936). The general theory of employment, interest, and money. London: MacMillan.
View in Google Scholar
Kónya, L. (2020). Did the unemployment rates converge in the EU? Empirical Economics, 59(2), 627?657. doi: 10.1007/s00181-019-01678-5. DOI: https://doi.org/10.1007/s00181-019-01678-5
View in Google Scholar
Koop, G., & Potter, S. M. (1999). Dynamic asymmetries in US unemployment. Journal of Business and Economic Statistics, 17(3), 298?312. doi: 10.1080/073 50015.1999.10524819. DOI: https://doi.org/10.1080/07350015.1999.10524819
View in Google Scholar
Krištić, I. R., Dumančić, L. R., & Arčabić, V. (2019). Persistence and stochastic convergence of euro area unemployment rates. Economic Modelling, 76, 192?198. doi: 10.1016/j.econmod.2018.07.032. DOI: https://doi.org/10.1016/j.econmod.2018.07.032
View in Google Scholar
Kutan A. M., & Yigit, T. M. (2005). Real and nominal stochastic convergence: are the new EU members ready to join the Euro zone? Journal of Comparative Economics, 33(2), 387?400. doi: 10.1016/j.jce.2005.03.001. DOI: https://doi.org/10.1016/j.jce.2005.03.001
View in Google Scholar
Lee, C., Wu, J-L., & Yang, L. (2016). A simple panel unit-root test with smooth breaks in the presence of a multifactor error structure. Oxford Bulletin of Economics and Statistics, 78(3), 365?393. doi: 10.1111/obes.12109. DOI: https://doi.org/10.1111/obes.12109
View in Google Scholar
Lee, C-C., & Chang, C.P. (2008). Unemployment hysteresis in OECD countries: centurial time series evidence with structural breaks. Economic Modelling, 25(2), 312?325. doi: 10.1016/j.econmod.2007.06.002. DOI: https://doi.org/10.1016/j.econmod.2007.06.002
View in Google Scholar
Lee, C-F. (2010). Testing for unemployment hysteresis in nonlinear heterogeneous panel: international evidence. Economic Modelling, 27(5), 1097?1102. doi: 10.1016/j.econmod.2010.03.010. DOI: https://doi.org/10.1016/j.econmod.2010.03.010
View in Google Scholar
León-Ledesma, M. A., & McAdam, P. (2004). Unemployment, hysteresis and transition. Scottish Journal of Political Economy, 51(3), 377?401. doi: 10.1111/j.0036-9292.2004.00311.x. DOI: https://doi.org/10.1111/j.0036-9292.2004.00311.x
View in Google Scholar
Leybourne, S., Newbold, P., & Vougas, D. (1998). Unit roots and smooth transitions. Journal of Time Series Analysis, 19(1), 83?97. doi: 10.1111/1467-9892.00078. DOI: https://doi.org/10.1111/1467-9892.00078
View in Google Scholar
Lukianenko, I., Oliskevych, M., & Bazhenova, O. (2020). Regime switching modeling of unemployment rate in Eastern Europe. Ekonomický časopis, 68(4), 380?408.
View in Google Scholar
Luukkonen, R., Saikkonen, P., & Terasvirta, T. (1988). Testing linearity against smooth transition autoregressive models. Biometrika, 75(3), 491?99. doi: 10.10 93/biomet/75.3.491. DOI: https://doi.org/10.1093/biomet/75.3.491
View in Google Scholar
Meng, M., Strazicich, M. C., & Lee, J. (2017). Hysteresis in unemployment? Evidence from linear and nonlinear unit root tests and tests with non-normal errors. Empirical Economics, 53(4), 1399?1414. doi: 10.1007/s00181-016-1196-z. DOI: https://doi.org/10.1007/s00181-016-1196-z
View in Google Scholar
Mitchell, W. F. (1993). Testing for unit roots and persistence in OECD unemployment rates. Applied Economics, 25(12), 1489?1501. doi: 10.1080/00036849300 000153. DOI: https://doi.org/10.1080/00036849300000153
View in Google Scholar
Modigliani, F., & Papademos, L. (1975). Targets for monetary policy in the coming year. Brookings Papers on Economic Activity, 6(1), 141?165. doi: 10.2307/ 2534063. DOI: https://doi.org/10.2307/2534063
View in Google Scholar
Neftçi, S. (1984). Are economic time series asymmetric over the business cycle? Journal of Political Economy, 92(2), 307?328. doi: 10.1086/261226. DOI: https://doi.org/10.1086/261226
View in Google Scholar
Omay, T., Emirmahmutoglu, F., & Hasanov, M. (2018a). Structural break, non-linearity and asymmetry: a re-examination of PPP proposition. Applied Economics, 50(12), 1289?1308. doi: 10.1080/00036846.2017.1361005. DOI: https://doi.org/10.1080/00036846.2017.1361005
View in Google Scholar
Omay, T., Hasanov, M., & Shin, Y. (2018b). Testing for unit roots in dynamic panels with smooth breaks and cross-sectionally dependent errors. Computational Economics, 52(1), 167?193. doi: 10.1007/s10614-017-966 7-7. DOI: https://doi.org/10.1007/s10614-017-9667-7
View in Google Scholar
Omay, T., Shahbaz, M., & Stewart, C. (2021). Is there really hysteresis in the OECD unemployment rates? New evidence using a Fourier panel unit root test. Empirica, 48(4), 875?901. doi: 10.1007/s10663-021-09510-z. DOI: https://doi.org/10.1007/s10663-021-09510-z
View in Google Scholar
O?Shaughnessy, T. (2011). Hysteresis in unemployment. Oxford Review of Economic Policy, 27(2), 312?337. doi: 10.1093/oxrep/grr018. DOI: https://doi.org/10.1093/oxrep/grr018
View in Google Scholar
Perez-Alonso, A., & Di Sanzo, S. (2011). Unemployment and hysteresis: a non-linear unobserved components approach. Studies in Nonlinear Dynamics and Econometrics, 15(1), 1?29. doi: 10.2202/1558-3708.1806. DOI: https://doi.org/10.2202/1558-3708.1806
View in Google Scholar
Pesaran, M. H. (2004). General diagnostic tests for cross section dependence in panels. Cambridge Working Paper in Economics, 0435. DOI: https://doi.org/10.2139/ssrn.572504
View in Google Scholar
Pesaran, M. H. (2006). Estimation and inference in large heterogeneous panels with a multifactor error structure. Econometrica, 74(4), 967?1012. doi: 10.111 1/j.1468-0262.2006.00692.x. DOI: https://doi.org/10.1111/j.1468-0262.2006.00692.x
View in Google Scholar
Pesaran, M. H. (2007). A simple panel unit root test in the presence of cross-section dependence. Journal of Applied Econometrics, 22(2), 265?312. doi: 10.1002/jae.951. DOI: https://doi.org/10.1002/jae.951
View in Google Scholar
Phelps, E. S. (1967). Phillips curves, expectations of inflation, and optimal unemployment over time. Economica, 34(135), 254?281. doi: 10.2307/2552025. DOI: https://doi.org/10.2307/2552025
View in Google Scholar
R?ed, K. (1996). Unemployment hysteresis - macro evidence from 16 OECD countries. Empirical Economics, 21(4), 589?600. doi: 10.1007/BF01180703. DOI: https://doi.org/10.1007/BF01180703
View in Google Scholar
R?ed, K. (1997). Hysteresis in unemployment. Journal of Economic Surveys, 11(4), 389?418. doi: 10.1111/1467-6419.00040. DOI: https://doi.org/10.1111/1467-6419.00040
View in Google Scholar
Rothman, P. (1991). Further evidence on the asymmetric behaviour of unemployment rates over the business cycle. Journal of Macroeconomics, 13(2), 291?298. doi: 10.1016/0164-0704(91)90057-2. DOI: https://doi.org/10.1016/0164-0704(91)90057-2
View in Google Scholar
Sessions, J. G. (1994). Unemployment stigma and multiple labour market equilibria: a social-psychological interpretation of hysteresis. Labour, 8(3), 355?375. doi: 10.1111/j.1467-9914.1994.tb00168.x. DOI: https://doi.org/10.1111/j.1467-9914.1994.tb00168.x
View in Google Scholar
Skalin, J., & Terasvirta, T. (2002). Modelling asymmetries and moving equilibria in unemployment rates. Macroeconomic Dynamics, 6(2), 202?241. doi: 10.101 7/S1365100502031024. DOI: https://doi.org/10.1017/S1365100502031024
View in Google Scholar
Sollis, R. (2009). A simple unit root test against asymmetric star nonlinearity with an application to real exchange rates in Nordic countries. Economic Modelling, 26(1), 118?125. doi: 10.1016/j.econmod.2008.06.002. DOI: https://doi.org/10.1016/j.econmod.2008.06.002
View in Google Scholar
Song, F. M., & Wu, Y. (1998). Hysteresis unemployment: evidence from OECD countries. Quarterly Review of Economics and Finance, 38(2), 181?192. doi: 10.1016/S1062-9769(99)80111-2. DOI: https://doi.org/10.1016/S1062-9769(99)80111-2
View in Google Scholar
Stine, R. A. (1987). Estimating properties of autoregressive forecasts. Journal of American Statistical Association, 82(400), 1072?1078. doi: 10.2307/2289383. DOI: https://doi.org/10.1080/01621459.1987.10478542
View in Google Scholar
Terasvirta, T. (1994). Specification, estimation, and evaluation of smooth transiwtion autoregressive models. Journal of the American Statistical Association, 89(425), 208?218. doi: 10.1080/01621459.1994.10476462. DOI: https://doi.org/10.1080/01621459.1994.10476462
View in Google Scholar
Ucar, N., & Omay, T. (2009). Testing for unit root in nonlinear heterogeneous panels. Economics Letters, 104(1), 5?8. doi: 10.1016/j.econlet.2009.03.018. DOI: https://doi.org/10.1016/j.econlet.2009.03.018
View in Google Scholar
U.S. Bureau of Labor Statistics (2020). Unemployment rate [UNRATE]. Labor force statistics from the Current Population Survey. U.S. Department of Labor. Retrieved from https://fred.stlouisfed.org/series/UNRATE (10.7.2020).
View in Google Scholar
Vendrik, M. C. M. (1993). Habits, hysteresis and catastrophes in labor supply. Journal of Economic Behaviour and Organization, 20(3), 353?372. doi: 10.101 6/0167-2681(93)90031-J. DOI: https://doi.org/10.1016/0167-2681(93)90031-J
View in Google Scholar
Yaya, O. S., Ogbonna, A. E., Furuoka, F., & Gil?Alana, L. A. (2021). A new unit root test for unemployment hysteresis based on the autoregressive neural net-work. Oxford Bulletin of Economics and Statistics, 83(4), 960?981. doi: 10.11 11/obes.12422. DOI: https://doi.org/10.1111/obes.12422
View in Google Scholar
Y?lanc?, V. (2008). Are unemployment rates nonstationary or nonlinear? evidence from 19 OECD countries. Economics Bulletin, 3(47), 1?5.
View in Google Scholar