Premium
When Is a Coinsurance‐Type Insurance Policy Inferior or Even Giffen?
Author(s) -
Hau Arthur
Publication year - 2008
Publication title -
journal of risk and insurance
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.055
H-Index - 63
eISSN - 1539-6975
pISSN - 0022-4367
DOI - 10.1111/j.1539-6975.2008.00263.x
Subject(s) - risk aversion (psychology) , economics , mathematical economics , insurance policy , function (biology) , type (biology) , econometrics , actuarial science , expected utility hypothesis , ecology , evolutionary biology , biology
This article derives the necessary and sufficient conditions for a coinsurance‐type insurance policy covering a particular risk to be inferior and to be Giffen. Mossin's decreasing absolute risk aversion assumption for insurance to be inferior is avoided. The result generalizes Hoy and Robson and Briys, Dionne, and Eeckhoudt's results to the case with a continuum of states and relaxes their assumption of constant relative risk aversion. It is shown that knowledge about the distribution of risk can be used to relax assumptions on an utility function for a coinsurance‐type insurance policy to be inferior and to be Giffen.