Venerdì 23 Febbraio alle ore 14:00, in aula 3014 del Dipartimento di Matematica e Applicazioni (edificio U5, via Cozzi 55, Milano), Università di Milano-Bicocca,

il Prof. Francesco Russo (ENSTA ParisTech)

terrà un seminario dal titolo

"BSDEs, martingale problems, associated deterministic equations and applications to finance"

*Abstract:* The aim of this talk consists in introducing a new formalism for the deterministic analysis associated with backward stochastic differential equations driven by general càdlàg martingales, coupled with a forward Markov process. When the martingale is a standard Brownian motion, the natural deterministic analysis is provided by the solution u of a semilinear PDE of parabolic type coupled with a function v which is associated with the ∇u, when u is of class C^1 in space. When u is only a viscosity solution of the PDE, the link associating v to u is not completely clear: sometimes in the literature it is called the identification problem. The idea is to introduce a suitable analysis to investigate the equivalent of the identification problem in a general Markovian setting with a class of examples. An interesting application concerns the hedging problem under basis risk of a contingent claim g(X(T),S(T) ), where S (resp. X) is an underlying price of a traded (resp. non-traded but observable) asset, via the celebrated Föllmer-Schweizer decomposition. We revisit the case when the couple of price processes (X, S) is a diffusion and we provide explicit expressions when (X, S) is an exponential of additive processes.

Tutti gli interessati sono invitati a partecipare.

Cordialmente,

Federica Masiero