%0 Journal Article
%T Expected Supremum Representation of the Value of a Singular Stochastic Control Problem
%A Luis H. R. Alvarez E.
%A Pekka Matom£¿ki
%J Mathematics
%D 2015
%I arXiv
%X We consider the problem of representing the value of singular stochastic control problems of linear diffusions as expected suprema. Setting the value accrued from following a standard reflection policy equal with the expected value of a unknown function at the running supremum of the underlying is shown to result into a functional equation from which the unknown function can be explicitly derived. We also consider the stopping problem associated with the considered singular stochastic control problem and present a similar representation as an expected supremum in terms of characteristics of the control problem.
%U http://arxiv.org/abs/1508.02854v1