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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.
Dariusz Socha. "Discrete time optimal dividend problem with constant premium and exponentially distributed claims." Applicationes Mathematicae 41.1 (2014): 13-31. <http://eudml.org/doc/280086>.
@article{DariuszSocha2014, abstract = {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.}, author = {Dariusz Socha}, journal = {Applicationes Mathematicae}, keywords = {optimal dividend problem; Bellman equation; barrier strategy}, language = {eng}, number = {1}, pages = {13-31}, title = {Discrete time optimal dividend problem with constant premium and exponentially distributed claims}, url = {http://eudml.org/doc/280086}, volume = {41}, year = {2014}, }
TY - JOUR AU - Dariusz Socha TI - Discrete time optimal dividend problem with constant premium and exponentially distributed claims JO - Applicationes Mathematicae PY - 2014 VL - 41 IS - 1 SP - 13 EP - 31 AB - 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. LA - eng KW - optimal dividend problem; Bellman equation; barrier strategy UR - http://eudml.org/doc/280086 ER -