De Finetti's optimal dividends problem with linearly bounded payment rates
Aiming for more realistic optimal dividend policies, we consider a stochastic control problem with linearly bounded control rates using a performance function given by the expected present value of dividend payments made up to ruin. In a Brownian model, we prove the optimality of a member of a new family of control strategies called delayed linear control strategies, for which the controlled process is a refracted diffusion process. For some parameters specifications, we retrieve the strategy initially proposed by Avanzi & Wong (2012) to regularize dividend payments, which is more consistent with actual practice.
Please
Note: This
talk
will
be
hosted
on
Webex. To
join
please
the
following
link: Department
Seminar
by Jean-Francois
Renaud