An Economic Index of Relative Riskiness
In their seminal works, Arrow (1965) and Pratt (1964) defined two aspects of risk aversion: absolute risk aversion and relative risk aversion. Based on their definitions, we define two aspects of risk: absolute risk and relative risk. We consider situations in which, by making an investment, an agent exchanges a certain amount of wealth w by a random distributed level of wealth W. In such situations, we define absolute risk as the riskiness of a gamble that is distributed as W-w, and relative risk as the riskiness of a security that is distributed as W/w. We measure absolute risk by the Aumann and Serrano (2008) index of riskiness and relative risk by an equivalent index that we develop in this paper. The two concepts of risk do not necessarily agree on which one of two investments is riskier, and hence they capture two different aspects of risk.
|Date of creation:||31 Jan 2012|
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- Hart, Sergiu & Foster, Dean P., 2013.
"A wealth-requirement axiomatization of riskiness,"
Econometric Society, vol. 8(2), May.
- Sergiu Hart, 2011.
"Comparing Risks by Acceptance and Rejection,"
Journal of Political Economy,
University of Chicago Press, vol. 119(4), pages 617 - 638.
- Roberto Serrano & Robert J. Aumann, 2007.
"An Economic Index Of Riskiness,"
- Robert J. Aumann & Roberto Serrano, 2006. "An Economic Index of Riskiness," Working Papers 2006-20, Brown University, Department of Economics.
- Robert J. Aumann & Roberto Serrano, 2007. "An economic index of riskiness," Working Papers 2007-08, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Robert J. Aumann & Roberto Serrano, 2007. "An Economic Index of Riskiness," Discussion Paper Series dp446, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Robert J. Aumann & Roberto Serrano, 2006. "An Economic Index of Riskiness," Levine's Bibliography 321307000000000585, UCLA Department of Economics.
- Robert J. Aumann & Roberto Serrano, 2007. "An Economic Index of Riskiness," Levine's Bibliography 321307000000000836, UCLA Department of Economics.
- Dean P. Foster & Sergiu Hart, 2009.
"An Operational Measure of Riskiness,"
Journal of Political Economy,
University of Chicago Press, vol. 117(5), pages 785 - 814.
- Dean Foster & Sergiu Hart, 2007. "An Operational Measure of Riskiness," Levine's Bibliography 843644000000000095, UCLA Department of Economics.
- Dean P. Foster & Sergiu Hart, 2007. "An Operational Measure of Riskiness," Discussion Paper Series dp454, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
- Hanoch, G & Levy, Haim, 1969. "The Efficiency Analysis of Choices Involving Risk," Review of Economic Studies, Wiley Blackwell, vol. 36(107), pages 335-46, July.
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