Partial differential equations -- Elements of the theory of the Stochastic processes -- Partial differential equation in the consumer theory -- Partial differential equations in the producer theory -- Partial differential equations and pricing of the financial -- Derivatives -- A theory of...

The existence of an adapted solution to a backward stochastic differential equation which is not adapted to the filtration of the underlying Brownian motion is proved. This result is applied to the pricing of contingent claims. It allows to compare the prices of agents who have different...