Optimal Dividend Problems With Cover The Deficit At Ruin For The Classical Model With Constant Interest Rate

This thesis researches the optimal dividend problems for the classical modelwith constant interest rate under the environment of cover the deficit ruin. In thethesis, first, we consider the restricted dividend strategy, which from YingFangand RongWu's main ideas(2007). Through the dynamic programming principle,we got the HJB equation which the optimal policy should satisfy. We got thatthe dividend strategy is a barrier strategy , and received the conditions which theoptimal strategy satisfy when a claim for the exponential distribution. Under theunrestricted dividend policy, resembling Gerber Shiu Smith's method(2006), wediscussed the cover the deficit ruin how to a?ect the optimal dividend strategy,especially, the con?uent hypergeometric equation plays an important role in it.