Comparative Ross risk aversion in the presence of mean dependent risks
Document Type
Journal article
Source Publication
Journal of Mathematical Economics
Publication Date
3-1-2014
Volume
51
First Page
128
Last Page
135
Keywords
Comparative cross Ross risk aversion, Decreasing cross Ross risk aversion, Dependent background risk, N-switch independence property, Partial risk premium
Abstract
This paper studies comparative risk aversion between risk averse agents in the presence of a background risk. 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 necessarily 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 for mean independent risks. Our theoretical results are related to utility functions having the n-switch independence property.
DOI
10.1016/j.jmateco.2013.08.001
Print ISSN
03044068
E-ISSN
18731538
Publisher Statement
Copyright © 2013 Elsevier B.V.
Access to external full text or publisher's version may require subscription.
Additional Information
This paper is also available at Social Science Research Network at http://ssrn.com/abstract=2002047
Full-text Version
Publisher’s Version
Language
English
Recommended Citation
Dionne, G., & Li, J. (2014). Comparative Ross risk aversion in the presence of mean dependent risks. Journal of Mathematical Economics, 51, 128-135. doi: 10.1016/j.jmateco.2013.08.001