Speaker: Tiziano De Angelis, University of Leeds
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.
Link al paper http://arxiv.org/abs/1609.01655