Cass, Chichilnisky, and Wu (1996) show in an endowment economy that mutual
insurance and securities contingent on aggregate states support optimal ris
k-sharing. We extend their result to a model with production in which risk
is endogenous and beliefs about the aggregate state vary across individuals
. We use the model to interpret the role of new securities that are conting
ent on measures of total damage from natural catastrophes. Plausible specia
l cases of the model predict the trade pattern in such securities across di
verse regions and predict that such securities will not represent actuarial
ly fair gambles.