The purpose of this article is to value some life insurance contracts in a stochastic interest rate environment taking into account the default risk of the underlying insurance company. The participating life insurance contracts considered here can be expressed as portfolios of barrier options...

This article displays a study of the mutual insurance of bank deposits. A system where deposits are first insured by a consortium then by the Government is envisaged. We wish to compute the fair premia due to both the consortium and the Government. Various types of covenants aiming at making...

The purpose of this article is to design and price a new type of participating life insurance contract. Participating contracts are popular in the US and in European countries; they satisfy various covenants and obey various regulations depending on the country where they are issued. The...

This paper develops a general valuation approach to price barrier options when the term structure of interest rates is stochastic. These products' barriers may be constant or stochastic, in particular we examine the case of discounted barriers (at the instantaneous interest rate). So, in...

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]....

In this paper, we study various ways of changing probability measures with applications to Finance and Insurance. Changes of numéraire and Esscher transforms are considered, just as pricing kernels which are, in a complementary direction, a means of keeping a privileged probability measure....

The purpose of this article is to value participating life insurance contracts when the linked portfolio is modeled by a jump-diffusion. More precisely this process has a Brownian component and a compound Poisson one. The jump size is given by a double exponential distribution, so that jumps can...

This article builds a new structural default model under the assumption that assets returns follow dynamics displaying jumps of both signs. In essence, we expand the work of Hilberink and Rogers which is itself an extension of the Leland and Toft framework, but that deals only with negative...

This paper focuses on historical and risk-neutral default probabilities in a structural model, when the firm assets dynamics are modeled by a double exponential jump diffusion process. Relying on the Leland [1994a, 1994b] or Leland and Toft [1996] endogenous structural approaches, as formalized...