Greater prudence and greater downside risk aversion
Variation 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.
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- Marco Scarsini & Salvatore Modica, 2005.
"A note on comparative downside risk aversion,"
- 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.
- 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.).
- 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).
- CRAINICH, Davida & EECKHOUDT, Louis, "undated". "On the intensity of downside risk aversion," CORE Discussion Papers RP 2061, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- D. Crainich & L. Eeckhoudt, 2008. "On the intensity of downside risk aversion," Post-Print hal-00292420, HAL.
- EECKHOUDT, Louis & SCHLESINGER, Harris, "undated".
"Putting risk in its proper place,"
CORE Discussion Papers RP
1871, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- 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, 2002. "Greater Downside Risk Aversion," Journal of Risk and Uncertainty, Springer, vol. 24(3), pages 267-277, May.
- Guirkinger, Catherine & Boucher, Stephen R., 2004.
"Risk, Wealth And Sectoral Choice In Rural Credit Markets,"
2004 Annual meeting, August 1-4, Denver, CO
20077, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
- 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.
- Thiele, Henrik & Wambach, Achim, 1999. "Wealth Effects in the Principal Agent Model," Journal of Economic Theory, Elsevier, vol. 89(2), pages 247-260, December.
- Marie-Cécile Fagart & Bernard Sinclair-Desgagné, 2007. "Ranking Contingent Monitoring Systems," Management Science, INFORMS, vol. 53(9), pages 1501-1509, September.
- Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
- 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.
- 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, "undated". "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.
- 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.
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