We construct a confined Langevin type process aimed to satisfy a mean no-permeability condition at the boundary. This Langevin process lies in the class of conditional McKean Lagrangian stochastic models studied by Bossy, Jabir and Talay (2010) [5]. The confined process considered here is a...

We consider the one-dimensional nonlinear P.D.E. in the weak sense: When the initial condition is a probability on R, the solution Ut is the distribution of the random variable Xt where (Xt) is a nonlinear stochastic process in the sense of McKean.

[eng] Insurance-Company Risk Connected with Life-Insurance Contracts . by Christophe Berthelot, Mireille Bossy and Nathalie Pistre . Life-insurance contracts in francs are in fact capitalisation contracts which provide a return with the dual advantage of offering a guaranteed rate and benefiting...