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The permanent income hypothesis: A new framework based on fractional integration and cointegration

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  • Luis Gil-Alana

Abstract

The issue of the Permanent Income Hypothesis (PIH) is revisited in this paper by examining the relationship between U.S. consumption and income through new statistical techniques based on fractional integration and cointegration. Using a procedure by Robinson [1994a] that permits the testing of I(d) statistical models, the results show that both individual series are I(1). However, the differences seem to be I(d), with d being smaller than 1 in some cases. Also, when performing different regressions of consumption on income, the estimated residuals from the cointegrating regressions appear to be mean reverting. This implies that consumption and income may be fractionally cointegrated, so that deviations from equilibrium are highly persistent. Thus, the results provide further evidence regarding the validity of the PIH for the U.S. Copyright International Atlantic Economic Society 2004

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  • Luis Gil-Alana, 2004. "The permanent income hypothesis: A new framework based on fractional integration and cointegration," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 10(3), pages 165-179, October.
  • Handle: RePEc:kap:iaecre:v:10:y:2004:i:3:p:165-179:10.1007/bf02296212
    DOI: 10.1007/BF02296212
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    1. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
    2. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    3. Zeldes, Stephen P, 1989. "Consumption and Liquidity Constraints: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 97(2), pages 305-346, April.
    4. Robinson, Peter M. & Yajima, Yoshihiro, 2002. "Determination of cointegrating rank in fractional systems," Journal of Econometrics, Elsevier, vol. 106(2), pages 217-241, February.
    5. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    6. Marinucci, D & Robinson, Peter M., 1998. "Semiparametric frequency domain analysis of fractional cointegration," LSE Research Online Documents on Economics 2258, London School of Economics and Political Science, LSE Library.
    7. John Y. Campbell & N. Gregory Mankiw, 1989. "Consumption, Income, and Interest Rates: Reinterpreting the Time Series Evidence," NBER Chapters, in: NBER Macroeconomics Annual 1989, Volume 4, pages 185-246, National Bureau of Economic Research, Inc.
    8. Hualde, J. & Robinson, P.M., 2007. "Root-n-consistent estimation of weak fractional cointegration," Journal of Econometrics, Elsevier, vol. 140(2), pages 450-484, October.
    9. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    10. Phillips, P C B, 1991. "Optimal Inference in Cointegrated Systems," Econometrica, Econometric Society, vol. 59(2), pages 283-306, March.
    11. David Demery & Nigel W. Duck, 2000. "Incomplete information and the time series behaviour of consumption," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(4), pages 355-366.
    12. Gali, Jordi, 1990. "Finite horizons, life-cycle savings, and time-series evidence on consumption," Journal of Monetary Economics, Elsevier, vol. 26(3), pages 433-452, December.
    13. 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.
    14. Jeganathan, P., 1999. "On Asymptotic Inference In Cointegrated Time Series With Fractionally Integrated Errors," Econometric Theory, Cambridge University Press, vol. 15(4), pages 583-621, August.
    15. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-1056, September.
    16. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    17. Robinson, Peter M. & Velasco, Carlos, 2000. "Whittle pseudo-maximum likelihood estimation for nonstationary time series," LSE Research Online Documents on Economics 2273, London School of Economics and Political Science, LSE Library.
    18. Peter M Robinson & Carlos Velasco, 2000. "Whittle Pseudo-Maximum Likelihood Estimation for Nonstationary Time Series - (Now published in Journal of the American Statistical Association, 95, (2000), pp.1229-1243.)," STICERD - Econometrics Paper Series 391, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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