College of Mathematics and Physics,Chongqing University,Chongqing 400030,P.R.China
Abstract:
We derive some results on the dividend payments prior to ruin in the classical surplus process with interest. An integro-differential equation with a boundary conditions satisfied by the expected present value of dividend payments is derived and solved. Furthermore, we derive an integro-differential equation for the moment generating function, through which we analyze the higher moment of the present value of dividend payments. Finally, closed-form expressions for exponential claims are given.