Correlated risks, bivariate utility and optimal choices
In this paper, we consider a décision-maker facing a financial risk flanked by a background risk, possibly non-financial, such as health or environmental risk. A decision has to be made about the amount of an investment (in the financial dimension) resulting in a future benefit either in the same dimension (savings) or in the order dimension (environmental quality or health improvement). In the first case, we show that the optimal amount of savings decreases as the pair of risks increases in the bivariate increasing concave dominance rules of higher degrees which express the common preferences of all the decision-makers whose two-argument utility function possesses direct and cross derivatives fulfilling some specific requirements. Roughly speaking, the optimal amount of savings decreases as the two risks become "less positively correlated" or marginally improve in univariate stochastic dominance. In the second case, a similar conclusion on optimal investment is reached under alternative conditions on the derivatives of the utility function.
|Date of creation:||01 Feb 2009|
|Contact details of provider:|| Postal: Voie du Roman Pays 34, 1348 Louvain-la-Neuve (Belgium)|
Fax: +32 10474304
Web page: http://www.uclouvain.be/core
More information through EDIRC
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.:
- Miles S. Kimball, 1989.
"Precautionary Saving in the Small and in the Large,"
NBER Working Papers
2848, National Bureau of Economic Research, Inc.
- Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
- Mario Menegatti, 2009. "Optimal saving in the presence of two risks," Journal of Economics, Springer, vol. 96(3), pages 277-288, April.
- DENUIT, Michel & EECKHOUDT, Louis & REY, Béatrice, "undated".
"Some consequences of correlation aversion in decision science,"
CORE Discussion Papers RP
2207, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Michel Denuit & Louis Eeckhoudt & Béatrice Rey, 2010. "Some consequences of correlation aversion in decision science," Annals of Operations Research, Springer, vol. 176(1), pages 259-269, April.
- M. Denuit & L. Eeckhoudt & Béatrice Rey, 2010. "Some consequences of correlation aversion in decision science," Post-Print halshs-00485722, HAL.
- Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996.
"Changes in Background Risk and Risk-Taking Behavior,"
Econometric Society, vol. 64(3), pages 683-689, May.
- EECKHOUDT, Louis & Christian GOLLIER & Harris SCHLESINGER, 1994. "Changes in Background Risk and Risk Taking Behavior," Working Papers 005, Risk and Insurance Archive.
- Miles S. Kimball, 1991.
"Standard Risk Aversion,"
NBER Technical Working Papers
0099, National Bureau of Economic Research, Inc.
- A. B. Atkinson & F. Bourguignon, 1982. "The Comparison of Multi-Dimensioned Distributions of Economic Status," Review of Economic Studies, Oxford University Press, vol. 49(2), pages 183-201.
- Thomas Eichner & Andreas Wagener, 2003. "Variance Vulnerability, Background Risks, and Mean-Variance Preferences," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 28(2), pages 173-184, December.
- Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
- EECKHOUDT, Louis & SCHLESINGER, Harris, "undated".
"Changes in risk and the demand for saving,"
CORE Discussion Papers RP
2100, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Doherty, Neil A & Schlesinger, Harris, 1983. "Optimal Insurance in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1045-1054, December.
- Christophe Courbage & Béatrice Rey, 2007. "Precautionary saving in the presence of other risks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 417-424, August.
- Louis Eeckhoudt & Béatrice Rey & Harris Schlesinger, 2006.
"A Good Sign for Multivariate Risk Taking,"
CESifo Working Paper Series
1796, CESifo Group Munich.
- L. Eeckhoudt & H. Schlesinger & Béatrice Rey, 2007. "A good sign for multivariate risk taking," Post-Print hal-00283446, HAL.
- EECKHOUDT, louis & REY, Béatrice & SCHLESINGER, Harris, "undated". "A good sign for multivariate risk taking," CORE Discussion Papers RP 1900, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- repec:cor:louvrp:-2207 is not listed on IDEAS
- Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
- Menegatti, Mario, 2001. "On the Conditions for Precautionary Saving," Journal of Economic Theory, Elsevier, vol. 98(1), pages 189-193, May.
- Finkelshtain, Israel & Kella, Offer & Scarsini, Marco, 1999.
"On risk aversion with two risks,"
Journal of Mathematical Economics,
Elsevier, vol. 31(2), pages 239-250, March.
- Mario Menegatti, 2009. "Precautionary saving in the presence of other risks: a comment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 39(3), pages 473-476, June.
- Larry G. Epstein & Stephen M. Tanny, 1980. "Increasing Generalized Correlation: A Definition and Some Economic Consequences," Canadian Journal of Economics, Canadian Economics Association, vol. 13(1), pages 16-34, February.
- Pratt, John W, 1988. "Aversion to One Risk in the Presence of Others," Journal of Risk and Uncertainty, Springer, vol. 1(4), pages 395-413, December.
- Denuit, Michel & Lefevre, Claude & Mesfioui, M'hamed, 1999. "A class of bivariate stochastic orderings, with applications in actuarial sciences," Insurance: Mathematics and Economics, Elsevier, vol. 24(1-2), pages 31-50, March.
- Denuit, Michel & Vylder, Etienne De & Lefevre, Claude, 1999. "Extremal generators and extremal distributions for the continuous s-convex stochastic orderings," Insurance: Mathematics and Economics, Elsevier, vol. 24(3), pages 201-217, May.
- A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," Review of Economic Studies, Oxford University Press, vol. 37(3), pages 353-360.
When requesting a correction, please mention this item's handle: RePEc:cor:louvco:2009007. 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: (Alain GILLIS)
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.