This article focuses on two cornerstone results in insurance economics
: Mossin's Theorem on the optimality of full versus partial coverage,
and Arrow's Theorem on the optimality of straight deductible policies.
Both of these results are examined in a model assuming only risk aver
sion, and not necessarily expected-utility maximization. The results a
lso are examined with the inclusion of a noninsurable background risk.
Arrow's result is robust enough to hold in all of these situations. M
ossin's result is shown to hold with a slight weakening, to account fo
r possible ''nonsmoothness'' of preferences in non-expected-utility mo
dels.