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Consumption and Fractional Differencing: Old and New Anomalies

  • Joseph G. Haubrich

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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Paper provided by Wharton School Rodney L. White Center for Financial Research in its series Rodney L. White Center for Financial Research Working Papers with number 20-89.

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Handle: RePEc:fth:pennfi:20-89
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  1. 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 703-08, May.
  2. 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.
  3. Joseph G. Haubrich & Andrew W. Lo, 1989. "The Sources and Nature of Long-term Memory in the Business Cycle," NBER Working Papers 2951, National Bureau of Economic Research, Inc.
  4. Quah, Danny, 1990. "Permanent and Transitory Movements in Labor Income: An Explanation for "Excess Smoothness" in Consumption," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 449-75, June.
  5. 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.
  6. 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.
  7. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  8. Campbell, John Y & Deaton, Angus, 1989. "Why Is Consumption So Smooth?," Review of Economic Studies, Wiley Blackwell, vol. 56(3), pages 357-73, July.
  9. Stephen Zeldes, . "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," Rodney L. White Center for Financial Research Working Papers 20-86, Wharton School Rodney L. White Center for Financial Research.
  10. 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.
  11. West, Kenneth D., 1988. "The insensitivity of consumption to news about income," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 17-33, January.
  12. 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 971-87, December.
  13. Alan J. Auerbach & Kevin Hassett, 1989. "Corporate Savings and Shareholder Consumption," NBER Working Papers 2994, National Bureau of Economic Research, Inc.
  14. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
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