The risk model with stochastic premiums and a multi-layer dividend strategy

Olena Ragulina
2019 Modern Stochastics: Theory and Applications  
The paper deals with a generalization of the risk model with stochastic premiums where dividends are paid according to a multi-layer dividend strategy. First of all, we derive piecewise integro-differential equations for the Gerber--Shiu function and the expected discounted dividend payments until ruin. In addition, we concentrate on the detailed investigation of the model in the case of exponentially distributed claim and premium sizes and find explicit formulas for the ruin probability as
more » ... probability as well as for the expected discounted dividend payments. Lastly, numerical illustrations for some multi-layer dividend strategies are presented.
doi:10.15559/19-vmsta136 fatcat:6vd75u2x3vcdte2n7ec7iltbmy