IDEAS home Printed from
MyIDEAS: Login to save this paper or follow this series

Precautionary Wealth Accumulation: A Positive Third Derivative is not Enough

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
File Function: Full text
Download Restriction: None

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

in new window

Date of creation: 11 Mar 2003
Date of revision:
Handle: RePEc:geo:guwopa:gueconwpa~03-03-11
Contact details of provider: Postal: Georgetown University Department of Economics Washington, DC 20057-1036
Phone: 202-687-6074
Fax: 202-687-6102
Web page:

Order Information: Postal: Roger Lagunoff Professor of Economics Georgetown University Department of Economics Washington, DC 20057-1036
Web: Email:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  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, 1996. "Household Saving: Micro Theories and Micro Facts," Discussion Papers 96-01, University of Copenhagen. Department of Economics.
  3. 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.
  4. Caballero, Ricardo J, 1991. "Earnings Uncertainty and Aggregate Wealth Accumulation," American Economic Review, American Economic Association, vol. 81(4), pages 859-71, September.
  5. Mark Huggett, 2004. "Precautionary Wealth Accumulation," Review of Economic Studies, Oxford University Press, vol. 71(3), pages 769-781.
  6. 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.
  7. Weil, Philippe, 1993. "Precautionary Savings and the Permanent Income Hypothesis," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 367-83, April.
  8. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
  9. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
  10. Sandmo, Agnar, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Wiley Blackwell, vol. 37(3), pages 353-60, July.
  11. Haim Mendelson & Yakov Amihud, 1982. "Optimal Consumption Policy under Uncertain Income," Management Science, INFORMS, vol. 28(6), pages 683-697, June.
  12. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:geo:guwopa:gueconwpa~03-03-11. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marcia Suss)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.