The aim of this paper is to value interest rate structured products in a simpler and more intuitive way than Turnbull(1995). Considering some assumptions with respect to the evolution of the term structure of interest rates, the price of a European interest rate digital call option is given....

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 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...

In this article, we propose a new method to price numerically Parisian options by inversion of Laplace transform. We compare this method to other more traditional approaches (Monte-Carlo simulations and partial differential equation solving). We show that this method converges more rapidly and...

The authors offer a new perspective to the domain of guaranteed minimum death benefit contracts. These products have the particular feature to offer investors a guaranteed capital upon death. A complete methodology based on the generalized Fourier transform is proposed to investigate the impacts...

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...