Greater prudence and greater downside risk aversion
AbstractVariation in the degree of downside risk aversion across decision makers has implications for efficient risk sharing. However, except for small differences in risk preferences, there is no index, analogous to the Arrow-Pratt index of risk aversion, that depends only on local properties of the utility function and indicates the degree of aversion to downside risk. A measure that does depend only on local properties of the utility function u, the index of prudence p=-u'''/u'', is related to downside risk aversion, which is indicated by a positive value for u'''. Although we show that the degree of prudence is not an accurate indicator of the degree of downside risk aversion, we nonetheless demonstrate that a uniform increase in prudence accompanied by a uniform increase (decrease) in risk aversion is sufficient to indicate greater downside risk aversion, provided prudence is greater (less) than three times the degree of risk aversion.
Download InfoIf 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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 145 (2010)
Issue (Month): 5 (September)
Contact details of provider:
Web page: http://www.elsevier.com/locate/inca/622869
Downside risk aversion Prudence;
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.:
- Kimball, Miles S, 1990.
"Precautionary Saving in the Small and in the Large,"
Econometric Society, vol. 58(1), pages 53-73, January.
- Miles S. Kimball, 1989. "Precautionary Saving in the Small and in the Large," NBER Working Papers 2848, National Bureau of Economic Research, Inc.
- Keenan, Donald C. & Snow, Arthur, 2009. "Greater downside risk aversion in the large," Journal of Economic Theory, Elsevier, vol. 144(3), pages 1092-1101, May.
- W. Henry Chiu, 2005. "Skewness Preference, Risk Aversion, and the Precedence Relations on Stochastic Changes," Management Science, INFORMS, vol. 51(12), pages 1816-1828, December.
- Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
- Sanford J Grossman & Oliver D Hart, 2001.
"An Analysis of the Principal-Agent Problem,"
Levine's Working Paper Archive
391749000000000339, David K. Levine.
- Sanford Grossman & Oliver Hart, . "An Analysis of the Principal-Agent Problem," Rodney L. White Center for Financial Research Working Papers 15-80, Wharton School Rodney L. White Center for Financial Research.
- Louis Eeckhoudt & Harris Schlesinger, 2005.
"Putting Risk in its Proper Place,"
CESifo Working Paper Series
1462, CESifo Group Munich.
- CRAINICH, David & EECKHOUDT, Louis, 2007.
"On the intensity of downside risk aversion,"
CORE Discussion Papers
2007088, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
- Christopher D. Carroll & Miles S. Kimball, 1995.
"On the concavity of the consumption function,"
Finance and Economics Discussion Series
95-10, Board of Governors of the Federal Reserve System (U.S.).
- Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-32, December.
- Mukherji, Arijit & Nagarajan, Nandu J., 1995. "Moral hazard and contractibility in investment decisions," Journal of Economic Behavior & Organization, Elsevier, vol. 26(3), pages 413-430, May.
- Boucher, Stephen R. & Guirkinger, Catherine, 2007. "AJAE Appendix: Risk, Wealth and Sectoral Choice in Rural Credit Markets," American Journal of Agricultural Economics Appendices, Agricultural and Applied Economics Association, vol. 89(4), November.
- Thiele, Henrik & Wambach, Achim, 1999. "Wealth Effects in the Principal Agent Model," Journal of Economic Theory, Elsevier, vol. 89(2), pages 247-260, December.
- Steve Boucher & Catherine Guirkinger, 2007. "Risk, Wealth, and Sectoral Choice in Rural Credit Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(4), pages 991-1004.
- Keenan, Donald C & Snow, Arthur, 2002. " Greater Downside Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 267-77, May.
- Marie-Cécile Fagart & Bernard Sinclair-Desgagné, 2007. "Ranking Contingent Monitoring Systems," Management Science, INFORMS, vol. 53(9), pages 1501-1509, September.
- Jindapon, Paan, 2010. "Prudence probability premium," Economics Letters, Elsevier, vol. 109(1), pages 34-37, October.
- Pierre Chaigneau, 2012. "The Effect of Risk Preferences on the Valuation and Incentives of Compensation Contracts," Cahiers de recherche 1209, CIRPEE.
- Pierre Chaigneau, 2012. "The effect of risk preferences on the valuation and incentives of compensation contracts," FMG Discussion Papers dp697, Financial Markets Group.
- Donald Keenan & Arthur Snow, 2012. "The Schwarzian derivative as a ranking of downside risk aversion," Journal of Risk and Uncertainty, Springer, vol. 44(2), pages 149-160, April.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Wendy Shamier).
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.