Protection of a Company Issuing a Certain Class of Participating Policies in a Complete Market Framework

This study is devoted to the calculation of appropriate premia and loadings for participating contracts. Our analysis aims at extending the ideas of Buehlmann [2004], and is sequencing the fundamental works of Merton [1974], Longstaff and Schwartz [1995], Briys and de Varenne [1994, 2001]. Estimating safety loadings in a fair value context is an ongoing issue, in relationship notably to the new solvency requirements (see Ballotta, Esposito and Haberman [2006]). Beyond the examples developed in the text, the ultimate goal is to make understand similarities between contingent claims pricing and actuarial loadings and explain heterogeneity of prices in the insurance market