An optimal dividend problem is studied consisting in maximisation of expected discounted dividend payments until ruin time. A solution of this problem for constant premium d and exponentially distributed claims is presented. It is shown that an optimal policy is a barrier policy. Moreover, an analytic way to solve this problem is sketched.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am41-1-2, author = {Dariusz Socha}, title = {Discrete time optimal dividend problem with constant premium and exponentially distributed claims}, journal = {Applicationes Mathematicae}, volume = {41}, year = {2014}, pages = {13-31}, zbl = {1295.90102}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-1-2} }
Dariusz Socha. Discrete time optimal dividend problem with constant premium and exponentially distributed claims. Applicationes Mathematicae, Tome 41 (2014) pp. 13-31. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am41-1-2/