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Unemployment and input prices: A fractional cointegration approach

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  • Caporale, Guglielmo Maria
  • Gil-Alaña, Luis A.

Abstract

This paper examines the relationship between unemployment, real oil price and real interest rates in Canada. Instead of following the classical approach based on I(0) stationarity or I(1) cointegrating relationships, we use fractional integration/cointegration techniques which allow for the possibility that unemployment is highly persistent. In line with other studies, we find that all three variables are I(1). But we only find cointegration in the presence of autocorrelated disturbances, which means that the relationship between these variables also has a dynamic component. Furthermore, there is evidence of fractional (as opposed to classical cointegration, which implies long memory and slow reversion to equilibrium. This suggests that an equilibrium model with highly persistent shocks might be adequate to account for the observed behaviour of unemployment.

Suggested Citation

  • Caporale, Guglielmo Maria & Gil-Alaña, Luis A., 2000. "Unemployment and input prices: A fractional cointegration approach," SFB 373 Discussion Papers 2001,56, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  • Handle: RePEc:zbw:sfb373:200156
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    References listed on IDEAS

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    1. Olivier J. Blanchard & Lawrence H. Summers, 1986. "Hysteresis and the European Unemployment Problem," NBER Chapters,in: NBER Macroeconomics Annual 1986, Volume 1, pages 15-90 National Bureau of Economic Research, Inc.
    2. Bean, Charles R, 1994. "European Unemployment: A Survey," Journal of Economic Literature, American Economic Association, vol. 32(2), pages 573-619, June.
    3. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    4. Alan A. Carruth & Mark A. Hooker & Andrew J. Oswald, 1998. "Unemployment Equilibria And Input Prices: Theory And Evidence From The United States," The Review of Economics and Statistics, MIT Press, vol. 80(4), pages 621-628, November.
    5. Layard, Richard & Nickell, Stephen & Jackman, Richard, 2005. "Unemployment: Macroeconomic Performance and the Labour Market," OUP Catalogue, Oxford University Press, number 9780199279173.
    6. Dickey, David A & Fuller, Wayne A, 1981. "Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root," Econometrica, Econometric Society, vol. 49(4), pages 1057-1072, June.
    7. Gil-Alana, L. A. & Robinson, P. M., 1997. "Testing of unit root and other nonstationary hypotheses in macroeconomic time series," Journal of Econometrics, Elsevier, vol. 80(2), pages 241-268, October.
    8. Stephen Nickell, 1997. "Unemployment and Labor Market Rigidities: Europe versus North America," Journal of Economic Perspectives, American Economic Association, vol. 11(3), pages 55-74, Summer.
    9. Hamilton, James D, 1988. "A Neoclassical Model of Unemployment and the Business Cycle," Journal of Political Economy, University of Chicago Press, vol. 96(3), pages 593-617, June.
    10. L A Gil-Alaña & Peter M Robinson, 2000. "Testing of Seasonal Fractional Integration in UK and Japanese Consumption and Income," STICERD - Econometrics Paper Series 402, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    11. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-112, January.
    12. Nickell, Stephen J, 1990. "Unemployment: A Survey," Economic Journal, Royal Economic Society, vol. 100(401), pages 391-439, June.
    13. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-1056, September.
    14. Nickell, Stephen, 1998. "Unemployment: Questions and Some Answers," Economic Journal, Royal Economic Society, vol. 108(448), pages 802-816, May.
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    16. Gil-Alana, Luis A., 1999. "Testing fractional integration with monthly data," Economic Modelling, Elsevier, vol. 16(4), pages 613-629, December.
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    Citations

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    Cited by:

    1. Marcel Aloy & Gilles De Truchis, 2012. "Estimation and Testing for Fractional Cointegration," Working Papers halshs-00793206, HAL.
    2. Burcu Kiran, 2011. "Fractional Cointegration Relationship between Oil Prices and Stock Markets: An Empirical Analysis from G7 Countries," Prague Economic Papers, University of Economics, Prague, vol. 2011(2), pages 177-189.
    3. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2007. "Nonlinearities and Fractional Integration in the US Unemployment Rate," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(4), pages 521-544, August.
    4. repec:ove:journl:aid:11228 is not listed on IDEAS
    5. Burcu Kiran, 2013. "A fractional cointegration analysis of Fisher hypothesis: evidence from Turkey," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(2), pages 1077-1084, February.
    6. Luis Alberiko Gil-Alana & Pedro Garcia-del-Barrio, 2006. "New Revelations about Unemployment Persistence in Spain," Faculty Working Papers 10/06, School of Economics and Business Administration, University of Navarra.
    7. María Isabel Rodríguez-Ferradas & José A. Alfaro-Tanco & Francesco Sandulli, 2016. "A framework for Open Innovation practices: Typology and characterisation," Faculty Working Papers 02/16, School of Economics and Business Administration, University of Navarra.

    More about this item

    Keywords

    Unemployment; Input Prices; Long Memory; Fractional Integration; Fractional Cointegration;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity

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