 Comparative risk aversion vs. threshold choice in the Omega ratioAnne G. Balter, Ki Wai Chau and Nikolaus Schweizer Omega, 2024, vol. 123, issue C Abstract: We study conditions under which the threshold parameter in the Omega ratio represents risk aversion in the sense of monotonicity of risk premia. To this end, we derive asymptotic expansions for risk premia associated with taking a small additional risk on top of a background risk. These risk premia have the expected monotonicity behavior if, roughly speaking, the variance of the additional risk decreases with the background risk and if the density of the background risk is log-concave. When these conditions are violated, the threshold in the Omega ratio does not represent risk aversion in general. Finally, we compare our sufficient conditions for the Omega ratio to those that are needed to guarantee monotonicity of risk premia with an expected utility criterion under background risk. We argue that the conditions that are needed for the Omega threshold to represent risk aversion are comparable to those that are needed for expected utility with exponential utility functions. Keywords: Omega ratio; Risk preferences; Decision criteria; Background risk (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:123:y:2024:i:c:s0305048323001561 Ordering information: This journal article can be ordered from DOI: 10.1016/j.omega.2023.102992 Access Statistics for this article Omega is currently edited by B. Lev More articles in Omega from Elsevier |
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