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Consumption and Fractional Differencing: Old and New Anomalies

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  • Joseph G. Haubrich

Abstract

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.

Suggested Citation

  • Joseph G. Haubrich, "undated". "Consumption and Fractional Differencing: Old and New Anomalies," Rodney L. White Center for Financial Research Working Papers 26-89, Wharton School Rodney L. White Center for Financial Research.
    • Handle: RePEc:fth:pennfi:26-89
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    Cited by:

    1. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    2. R. Kelley Pace & Raffaella Calabrese, 2022. "Ignoring Spatial and Spatiotemporal Dependence in the Disturbances Can Make Black Swans Appear Grey," The Journal of Real Estate Finance and Economics, Springer, vol. 65(1), pages 1-21, July.
    3. Shimotsu, Katsumi, 2010. "Exact Local Whittle Estimation Of Fractional Integration With Unknown Mean And Time Trend," Econometric Theory, Cambridge University Press, vol. 26(2), pages 501-540, April.
    4. Christelle Lecourt, 2000. "Dépendance de court et de long terme des rendements de taux de change," Économie et Prévision, Programme National Persée, vol. 146(5), pages 127-137.
    5. Shimotsu, Katsumi, 2002. "Exact Local Whittle Estimation of Fractional Integration with Unknown Mean and Time Trend," Economics Discussion Papers 8844, University of Essex, Department of Economics.
    6. Arteche, J. & Orbe, J., 2005. "Bootstrapping the log-periodogram regression," Economics Letters, Elsevier, vol. 86(1), pages 79-85, January.

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