Expected Supremum Representation of the Value of a Singular Stochastic Control Problem

Autor: E., Luis H. R. Alvarez, Matomäki, Pekka
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 22 pages, 1 figure
Databáze: arXiv