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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 fractional stochastic process, and shows how this may explain both the excess sensitivity and the excess smoothness paradoxes. It then uses a recently developed improvement of the Rescaled Range Statistic to find long term memory in consumption. The remaining sections undertake Monte Carlo simulations to assess the finite sample size and power of the test, conduct cross country comparisons (France, Canada, U.K.), and provides a possible explanation.

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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 26-89.

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Handle: RePEc:fth:pennfi:26-89
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  1. 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.
  2. 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.
  3. Alan J. Auerbach & Kevin Hassett, 1989. "Corporate Savings and Shareholder Consumption," NBER Working Papers 2994, National Bureau of Economic Research, Inc.
  4. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  5. 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.
  6. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  7. 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.
  8. 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.
  9. Whitney K. Newey & Kenneth D. West, 1986. "A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix," NBER Technical Working Papers 0055, National Bureau of Economic Research, Inc.
  10. 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.
  11. Campbell, John & Deaton, Angus, 1989. "Why Is Consumption So Smooth?," Scholarly Articles 3221494, Harvard University Department of Economics.
  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. West, Kenneth D., 1988. "The insensitivity of consumption to news about income," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 17-33, January.
  14. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
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