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Consumption and Fractional Differencing: Old and New Anomalies

  • Haubrich, Joseph G

This paper calculates the stochastic properties of consumption when income follows a fractionally differenced process. It shows how such a process may resolve Angus Deaton's (1987) excessive smoothness paradox while assuming both the permanent income hypothesis and a univariate process for income. Tests and simulations suggest the evidence is consistent with income following such a process. Copyright 1993 by MIT Press.

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Article provided by MIT Press in its journal Review of Economics & Statistics.

Volume (Year): 75 (1993)
Issue (Month): 4 (November)
Pages: 767-772

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Handle: RePEc:tpr:restat:v:75:y:1993:i:4:p:767-72
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  1. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 275-298.
  2. 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.
  3. 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.
  4. Quah, D., 1989. "Permanent And Transitory Movements In Labor Income: An Explanation For "Excess Smoothness" In Consumption," Working papers 535, Massachusetts Institute of Technology (MIT), Department of Economics.
  5. Joseph G. Haubrich & Andrew W. Lo, 1991. "The sources and nature of long-term memory in the business cycle," Working Paper 9116, Federal Reserve Bank of Cleveland.
  6. Peter C.B. Phillips, 1985. "Time Series Regression with a Unit Root," Cowles Foundation Discussion Papers 740R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1986.
  7. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-708, May.
  8. Diebold, Francis X & Rudebusch, Glenn D, 1991. "Is Consumption Too Smooth? Long Memory and the Deaton Paradox," The Review of Economics and Statistics, MIT Press, vol. 73(1), pages 1-9, February.
  9. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  10. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
  11. John Campbell & Angus Deaton, 1989. "Why is Consumption So Smooth?," Review of Economic Studies, Oxford University Press, vol. 56(3), pages 357-373.
  12. Flavin, Marjorie A, 1981. "The Adjustment of Consumption to Changing Expectations about Future Income," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 974-1009, October.
  13. Kenneth D. West, 1987. "The Insensitivity of Consumption to News About Income," NBER Working Papers 2252, National Bureau of Economic Research, Inc.
  14. Alan J. Auerbach & Kevin Hassett, 1991. "Corporate Savings and Shareholder Consumption," NBER Chapters, in: National Saving and Economic Performance, pages 75-102 National Bureau of Economic Research, Inc.
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