Universally Marketable Insurance under a Multivariate Mixture Model
The study of desirable structural properties satisfied by marketable insurance contracts has been a recurring theme in insurance economics. In this talk, we develop probabilistic and structural characterizations for universally marketable insurance indemnities, which appeal to both policyholders and insurers, irrespective of their risk preferences and risk profiles. We begin with the univariate case where there is a single risk facing the policyholder, then extend our results to the case where multiple possibly dependent risks co-exist. The non-decreasing and 1-Lipschitz condition, in different forms, are shown to be intimately related to the notion of universal marketability. As the highlight of this talk, we propose a multivariate mixture model which not only accommodates various dependence structures commonly encountered in practice, but also is flexible enough to house a rich class of marketable indemnity schedules.