Advanced Search
MyIDEAS: Login to save this paper or follow this series

Comparative Ross Risk Aversion in the Presence of Mean Dependent Risks

Contents:

Author Info

  • Georges Dionne
  • Jingyuan Li

Abstract

This paper studies comparative risk aversion between risk averse agents in the presence of a background risk. Although the literature covers this question extensively, our contribution differs from most of the literature in two respects. First, background risk does not need to be additive or multiplicative. Second, the two risks are not necessary mean independent, and may be conditional expectation increasing or decreasing. We show that our order of cross Ross risk aversion is equivalent to the order of partial risk premium, while our index of decreasing cross Ross risk aversion is equivalent to decreasing partial risk premium. These results generalize the comparative risk aversion model developed by Ross (1981) for mean independent risks. Finally, we show that decreasing cross Ross risk aversion gives rise to the utility function family belonging to the class of n-switch utility functions.

Download Info

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: http://www.cirpee.org/fileadmin/documents/Cahiers_2012/CIRPEE12-11.pdf
Download Restriction: no

Bibliographic Info

Paper provided by CIRPEE in its series Cahiers de recherche with number 1211.

as in new window
Length:
Date of creation: 2012
Date of revision:
Handle: RePEc:lvl:lacicr:1211

Contact details of provider:
Postal: CP 8888, succursale Centre-Ville, Montréal, QC H3C 3P8
Phone: (514) 987-8161
Web page: http://www.cirpee.org/
More information through EDIRC

Related research

Keywords: Comparative cross Ross risk aversion; Dependent background risk; Partial risk premium; Decreasing cross Ross risk aversion; n-switch utility function;

Other versions of this item:

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

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. EECKHOUDT, Louis & Christian GOLLIER & Harris SCHLESINGER, 1994. "Changes in Background Risk and Risk Taking Behavior," Working Papers 005, Risk and Insurance Archive.
  2. Doherty, Neil A & Schlesinger, Harris, 1983. "The Optimal Deductible for an Insurance Policy When Initial Wealth Is Random," The Journal of Business, University of Chicago Press, vol. 56(4), pages 555-65, October.
  3. Mario Menegatti, 2009. "Optimal saving in the presence of two risks," Journal of Economics, Springer, vol. 96(3), pages 277-288, April.
  4. Louis Eeckhoudt & Béatrice Rey & Harris Schlesinger, 2006. "A Good Sign for Multivariate Risk Taking," CESifo Working Paper Series 1796, CESifo Group Munich.
  5. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
  6. Franke, Günter & Schlesinger, Harris & Stapleton, Richard C., 2002. "Multiplicative background risk," Discussion Papers, various Research Units FS IV 02-06, Social Science Research Center Berlin (WZB).
  7. repec:cor:louvrp:2361 is not listed on IDEAS
  8. 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.
  9. BLEICHRODT, Han & CRAINICH, David & EECKHOUDT, Louis, . "Comorbidities and the willingness to pay for health improvements," CORE Discussion Papers RP -1699, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  10. Günter Franke & Harris Schlesinger & Richard C. Stapleton, 2011. "Risk Taking with Additive and Multiplicative Background Risks," Working Paper Series of the Department of Economics, University of Konstanz 2011-25, Department of Economics, University of Konstanz.
  11. Li, Jingyuan, 2011. "The demand for a risky asset in the presence of a background risk," Journal of Economic Theory, Elsevier, vol. 146(1), pages 372-391, January.
  12. Pratt, John W, 1990. " The Logic of Partial-Risk Aversion: Paradox Lost," Journal of Risk and Uncertainty, Springer, vol. 3(2), pages 105-13, June.
  13. Li, Jingyuan, 2009. "Comparative higher-degree Ross risk aversion," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 333-336, December.
  14. Marco Scarsini, 1988. "Dominance Conditions for Multivariate Utility Functions," Management Science, INFORMS, vol. 34(4), pages 454-460, April.
  15. Scott F. Richard, 1975. "Multivariate Risk Aversion, Utility Independence and Separable Utility Functions," Management Science, INFORMS, vol. 22(1), pages 12-21, September.
  16. Doherty, Neil A. & Schlesinger, Harris, 1986. "A note on risk premiums with random initial wealth," Insurance: Mathematics and Economics, Elsevier, vol. 5(3), pages 183-185, July.
  17. Denuit, Michel M. & Eeckhoudt, Louis, 2010. "Stronger measures of higher-order risk attitudes," Journal of Economic Theory, Elsevier, vol. 145(5), pages 2027-2036, September.
  18. 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.
  19. Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
  20. Mario Menegatti, 2009. "Precautionary saving in the presence of other risks: a comment," Economic Theory, Springer, vol. 39(3), pages 473-476, June.
  21. Christophe Courbage & Béatrice Rey, 2007. "Precautionary saving in the presence of other risks," Economic Theory, Springer, vol. 32(2), pages 417-424, August.
  22. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-38, May.
  23. Kischka, Peter, 1988. "Aspects of optimal insurance demand when there are uninsurable risks," Insurance: Mathematics and Economics, Elsevier, vol. 7(1), pages 9-14, January.
  24. Michel Denuit & Louis Eeckhoudt & Mario Menegatti, 2011. "Correlated risks, bivariate utility and optimal choices," Economic Theory, Springer, vol. 46(1), pages 39-54, January.
  25. David E. Bell, 1988. "One-Switch Utility Functions and a Measure of Risk," Management Science, INFORMS, vol. 34(12), pages 1416-1424, December.
  26. Israel Finkelshtain & James A. Chalfant, 1993. "Portfolio Choices in the Presence of Other Risks," Management Science, INFORMS, vol. 39(8), pages 925-936, August.
  27. Doherty, Neil A & Schlesinger, Harris, 1983. "Optimal Insurance in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1045-54, December.
  28. DENUIT, Michel & EECKHOUDT, Louis, . "Bivariate stochastic dominance and substitute risk-(in)dependent utilities," CORE Discussion Papers RP -2361, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  29. Cuadras, C. M., 2002. "On the Covariance between Functions," Journal of Multivariate Analysis, Elsevier, vol. 81(1), pages 19-27, April.
  30. David E. Bell & Peter C. Fishburn, 2001. "Strong One-Switch Utility," Management Science, INFORMS, vol. 47(4), pages 601-604, April.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Georges Dionne & Jingyuan Li & Cedric Okou, 2012. "An Extension of the Consumption-based CAPM Model," Cahiers de recherche 1214, CIRPEE.

Lists

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

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:lvl:lacicr:1211. 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: (Johanne Perron).

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.