A stochastic control problem with linearly bounded control rates in a Brownian model
Probability
2020-07-14 v1 Optimization and Control
Risk Management
Abstract
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.
Keywords
Cite
@article{arxiv.2007.06330,
title = {A stochastic control problem with linearly bounded control rates in a Brownian model},
author = {Jean-François Renaud and Clarence Simard},
journal= {arXiv preprint arXiv:2007.06330},
year = {2020}
}