OPTIMAL RISK CONTROL POLICIES FOR DIFFUSION MODELS WITH NON-CHEAP PROPORTIONAL REINSURANCE AND BANKRUPTCY VALUE
OPTIMAL RISK CONTROL POLICIES FOR DIFFUSION MODELS WITH NON-CHEAP PROPORTIONAL REINSURANCE AND BANKRUPTCY VALUE
摘要
This paper considers the problem about optimization of proportional reinsurance in the setting of diffusion models. The authors take into account non-cheap proportional reinsurance and bankruptcy value simultaneously. The objective is to find the risk control policies which maximize the total discounted reserve and the bankruptcy value. Results show that, the optimal risk control policies and corresponding optimal return functions vary, depending both on the range of bankruptcy value and the relationship between the premium rate of insurance and that of reinsurance.
参考文献10
-
1H. U. Gerber, An Introduction to Mathematical Risk Theory, S. S. Huebner Foundation, 1979.
-
2D. C. M. Dickson and H. R. Waters, Reinsurance and ruin, Insurance: Mathematics and Economics, 1996, 19: 61-80.
-
3P. Whittle, Optimization over Time-Dynamic Programming and Stochastic Control, Wiley, New York, 1983.
-
4B. Hcjgaard and M. Taksar, Optimal proportional reinsurance policies for diffusion models, Scandinavian Actuarial Journal, 1998, 2: 166-180.
-
5B. Hcjgaard and M. Taksar, Optimal proportionM reinsurance policies for diffusion models with transaction costs, Insurance: Mathematics and Economics, 1998, 22: 41-51.
-
6M. Taksar and C. L. Hunderup, The influence of bankruptcy value on optimal risk control for diffusion models with proportional reinsurance, Insurance: Mathematics and Economics, 2007, 40: 311-321.
-
7W. H. Fleming and M. Soner, Controlled Markov Processes and Viscosity Solutions, Springer, Berlin, 1993.
-
8S. Asmussen and M. Taksar, Controlled diffusion models for optimal dividend pay-out, Insurance: Mathematics and Economics, 1997, 20: 1-15.
-
9S. Asmussen, B. Hcjgaard, and M. Taksax, Optimal risk control and dividend distribution policies- Example of excess-of-loss reinsurance for an insurance corporation, Finance and Stochastics, 2000, 4: 299-324.
-
10M. Taksax, Dependence of the optimal risk control decisions on the terminal value for a finance corporation, Annals of Operation Research, 2000, 98: 89-99.
-
1Xin ZHANG,Tak Kuen SIU.On Optimal Proportional Reinsurance and Investment in a Markovian Regime-Switching Economy[J].Acta Mathematica Sinica,English Series,2012,28(1):67-82. 被引量：8
-
2Fengqing HU,Kam C YUEN.OPTIMAL PROPORTIONAL REINSURANCE UNDER DEPENDENT RISKS[J].Journal of Systems Science & Complexity,2012,25(6):1171-1184. 被引量：2
-
3包川.对当前通货膨胀控制政策的解读和相关问题分析[J].职大学报,2011(4):57-59.
-
4陈韵宇,林东杰,熊小林.内部控制与风险信息披露[J].中山大学研究生学刊（社会科学版）,2014,35(1):126-136. 被引量：1
-
5侯夫.悦活能走多远[J].中国食品,2010(10):36-38.
-
6陈划漪.试论商业银行设立中间业务管理部门的必要性[J].福建金融,1998,0(1):19-21.
-
7巴曙松.次贷危机影响下的中国:看到风险,更要看到机会[J].经济,2009(1):46-49.
-
8Qing-bin MENG,Xin ZHANG,Jun-na BI.On Optimal Proportional Reinsurance and Investment in a Hidden Markov Financial Market[J].Acta Mathematicae Applicatae Sinica,2017,33(1):53-62.
-
9LIU Wei,HU Yi-jun.Optimal proportional reinsurance and dividend payments with transaction costs and internal competition[J].Applied Mathematics(A Journal of Chinese Universities),2016,31(1):89-102. 被引量：1
-
10YAN Lifang.Research on Risk Control of Medical Insurance Fund[J].International English Education Research,2017(1):42-44.
