The goal of this paper is to obtain probabilistic representation formulas that are suitable for the numerical computation of the (possibly non-continuous) density functions of infima of reserve processes commonly used in insurance. In particular we show, using Monte Carlo simulations, that these...

In this paper a model with an influent and informed investor is presented. The studied problem is the point of view of a non informed agent hedging an option in this influenced and informed market. Her lack of information makes the market incomplete to the non informed agent. The obtained...

In this paper a model with an influent and informed investor is presented from a hedging point of view. The financial agent is supposed to possess an additional information, and is also supposed to influence the market prices. The problem is modeled by a forward-backward stochastic differential...