TY - JFULL AU - Li-Li Li and Jinghai Feng and Lixin Song PY - 2007/2/ TI - The Dividend Payments for General Claim Size Distributions under Interest Rate T2 - International Journal of Mathematical and Computational Sciences SP - 118 EP - 122 VL - 1 SN - 1307-6892 UR - https://publications.waset.org/pdf/1016 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 1, 2007 N2 - This paper evaluates the dividend payments for general claim size distributions in the presence of a dividend barrier. The surplus of a company is modeled using the classical risk process perturbed by diffusion, and in addition, it is assumed to accrue interest at a constant rate. After presenting the integro-differential equation with initial conditions that dividend payments satisfies, the paper derives a useful expression of the dividend payments by employing the theory of Volterra equation. Furthermore, the optimal value of dividend barrier is found. Finally, numerical examples illustrate the optimality of optimal dividend barrier and the effects of parameters on dividend payments. ER -