We consider the problem of efficient insurance contracts when the cost structure includes a fixed cost per claim. We prove existence of efficient insurance contracts and that the indemnity function in such contracts is non-decreasing in the damage. We further show that either there is no...

This paper provides an existence theorem for a class of infinite-dimensional non-convex problems arising in symmetric and asymmetric information models. Sufficient conditions for monotonicity of solutions are also given. The proofs are very simple and rely on rearrangement techniques and the...

Abstract: Insurance policies seldom provide policy holders with complete coverage against losses. Most policies limit coverage with deductibles or include an upper limit. A new explanation for existence of deductibles and upper limits on coverage is given based on multiplicity of agents' priors...

An F-cone is a pointed and generating convex cone of a real vector space that is the union of a countable family of finite dimensional polyedral convex cones such that each of which is an extremel subset of the subsequent one. In this paper, we study securities markets with countably many...

We consider a life-cycle model with bequest motives, and assume that the individual does not know his/hersurvival probability and has maxmin utility preferences; we show that it is optimal not to annuitize but to purchase pure life insurance policies instead.

The age structure of the French population has been experiencing dramatic changes over the past decades and is likely to do so in a near future. The increasing proportion of the elder people may modify the savings behaviour of households. The level of savings, as well as its composition, may be...

A discrete time probabilistic model, for optimal equity allocation and portfolio selection, is formulated so as to apply to (at least) reinsurance. In the context of a company with several portfolios (or subsidiaries), representing both liabilities and assets, it is proved that the model has...

The age structure of the French population has been experiencing dramatic changes over the past decades and is likely to do so in a near future. The increasing proportion of elder people may modify the saving behaviour of French households. The level of saving, as well as its composition, may be...

Les actifs financiers sûrs sont au cœur de la finance de marché aujourd'hui. L'aptitude de tels actifs à protéger la valeur de l'épargne et des avoirs financiers, à servir de garantie à des prêteurs, à permettre aux entités souveraines de se financer ou encore aux banques centrales de...