Consider the compound binomial risk model with interest on the surplus under a constant dividend barrier and periodically paying dividends.A system of integral equations for the arbitrary moments of the sum of the discounted dividend payments until ruin is derived.Moreover,under a very relaxed condition,the solutions for arbitrary moments are obtained by setting up iteration processes because of a special property of the system of integral equations. Consider the compound binomial risk model with interest on the surplus under a constant dividend barrier and to negotiate dividends. A system of integral equations for the arbitrary moments of the sum of the discounted dividend payments until ruin is derived. Moreover, under a very relaxed condition , the solutions for arbitrary moments are obtained by setting up iteration processes because of a special property of the system of integral equations.