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Precautionary Wealth Accumulation: A Positive Third Derivative is not Enough

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Abstract

It is commonly conjectured that expected wealth accumulation increases when earnings risk increases as long as the utility function in each period is increasing, concave and has a positive third derivative. We present a counter example which highlights the importance of the convexity of the savings function.

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Bibliographic Info

Paper provided by Georgetown University, Department of Economics in its series Working Papers with number gueconwpa~03-03-11.

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Date of creation: 11 Mar 2003
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Handle: RePEc:geo:guwopa:gueconwpa~03-03-11

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Postal: Georgetown University Department of Economics Washington, DC 20057-1036
Phone: 202-687-6074
Fax: 202-687-6102
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Web page: http://econ.georgetown.edu/

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Postal: Marcia Suss Administrative Officer Georgetown University Department of Economics Washington, DC 20057-1036
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Web: http://econ.georgetown.edu/

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  1. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-92, July.
  2. Martin Browning & Annamaria Lusardi, 1995. "Household Saving: Micro Theories and Micro Facts," Department of Economics Working Papers 1995-02, McMaster University.
  3. Sibley, David S., 1975. "Permanent and transitory income effects in a model of optimal consumption with wage income uncertainty," Journal of Economic Theory, Elsevier, vol. 11(1), pages 68-82, August.
  4. Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
  5. Mark Huggett, 2003. "Precautionary Wealth Accumulation," Working Papers gueconwpa~03-03-09, Georgetown University, Department of Economics.
  6. Weil, Philippe, 1993. "Precautionary Savings and the Permanent Income Hypothesis," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 367-83, April.
  7. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
  8. Sandmo, Agnar, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Wiley Blackwell, vol. 37(3), pages 353-60, July.
  9. Miller, Bruce L., 1976. "The effect on optimal consumption of increased uncertainty in labor income in the multiperiod case," Journal of Economic Theory, Elsevier, vol. 13(1), pages 154-167, August.
  10. Haim Mendelson & Yakov Amihud, 1982. "Optimal Consumption Policy under Uncertain Income," Management Science, INFORMS, vol. 28(6), pages 683-697, June.
  11. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
  12. Caballero, Ricardo J, 1991. "Earnings Uncertainty and Aggregate Wealth Accumulation," American Economic Review, American Economic Association, vol. 81(4), pages 859-71, September.
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Cited by:
  1. Richard M. H. Suen, 2011. "Concave Consumption Function and Precautionary Wealth Accumulation," Working papers 2011-23, University of Connecticut, Department of Economics.
  2. Ghiglino, Christian, 2005. "Wealth inequality and dynamic stability," Journal of Economic Theory, Elsevier, vol. 124(1), pages 106-115, September.
  3. Mark Huggett, 2003. "Precautionary Wealth Accumulation," Working Papers gueconwpa~03-03-09, Georgetown University, Department of Economics.
  4. Feigenbaum, James, 2011. "Precautionary saving or denied dissaving," Economic Modelling, Elsevier, vol. 28(4), pages 1559-1572, July.

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