Utility function for monetary gains (and losses) satisfying Friedman-Savage hypothesis
In this note we provide a closed form utility function for gains that is S-shaped around the origin and satisfies the Friedman-Savage hypothesis. We obtain the corresponding Arrow–Pratt measure of absolute risk aversion (ARA) as well as Arrow–Pratt measure of relative risk aversion (RRA) for it.
 Eeckhoudt, L., C. Gollier and H. Schlesinger (2005): “Economic and Financial Decisions Under Risk". Princeton University Press, NJ.
 Friedman, M. and L.J. Savage (1948): The Utility Analysis of Choices Involving Risk. Journal of Political Economy. Volume 56, No:4, pages 279-304.
 March, J.G. and Z. Shapira (1987): Managerial Perspectives on Risk and Risk Taking. Management Science. Volume 33, No: 11, pages 1404-1418.
 Wakker, P. (2010): \Prospect Theory: for Risk and Ambiguity". Cambridge University Press, Cambridge.
The Copyright Transfer Form to ASERS Publishing (The Publisher)
This form refers to the manuscript, which an author(s) was accepted for publication and was signed by all the authors.
The undersigned Author(s) of the above-mentioned Paper here transfer any and all copyright-rights in and to The Paper to The Publisher. The Author(s) warrants that The Paper is based on their original work and that the undersigned has the power and authority to make and execute this assignment. It is the author's responsibility to obtain written permission to quote material that has been previously published in any form. The Publisher recognizes the retained rights noted below and grants to the above authors and employers for whom the work performed royalty-free permission to reuse their materials below. Authors may reuse all or portions of the above Paper in other works, excepting the publication of the paper in the same form. Authors may reproduce or authorize others to reproduce the above Paper for the Author's personal use or for internal company use, provided that the source and The Publisher copyright notice are mentioned, that the copies are not used in any way that implies The Publisher endorsement of a product or service of an employer, and that the copies are not offered for sale as such. Authors are permitted to grant third party requests for reprinting, republishing or other types of reuse. The Authors may make limited distribution of all or portions of the above Paper prior to publication if they inform The Publisher of the nature and extent of such limited distribution prior there to. Authors retain all proprietary rights in any process, procedure, or article of manufacture described in The Paper. This agreement becomes null and void if and only if the above paper is not accepted and published by The Publisher, or is with drawn by the author(s) before acceptance by the Publisher.