Seminario di Tiziano De Angelis (School of Mathematics - The University of Leeds) Giovedi' 19 gennaio 2017 - ore 11:00 - aula 200 Università Cattolica del Sacro cuore, Milano, Dipartimento di di Discipline matematiche, Finanza matematica ed Econometria Viale Necchi, 9 - Milano TITLE: The dividend problem with a finite horizon ABSTRACT: We characterize the value function of the optimal dividend problem with a finite time horizon as the unique classical solution of a suitable Hamilton-Jacobi-Bellman equation. The optimal dividend strategy is realized by a Skorokhod reflection of the fund's value at a time-dependent optimal boundary. Our results are obtained by establishing for the first time a new connection between singular control problems with an absorbing boundary and optimal stopping problems on a diffusion reflected at an elastic boundary. Joint work with Erik Ekstrom (Uppsala Universitet) Paper available at http://arxiv.org/abs/1609.01655 Tutti gli interessati sono invitati a partecipare.