JOURNAL OF LIGHT INDUSTRY

CN 41-1437/TS  ISSN 2096-1553

Volume 30 Issue 3-4
September 2015
Article Contents
YUE Yi-meng, WANG Xin and ZHAO Rui. Optimal dividend and capital injection strategies in the piecewise-deterministic compound Poisson risk model[J]. Journal of Light Industry, 2015, 30(3-4): 157-160. doi: 10.3969/j.issn.2095-476X.2015.3/4.033
Citation: YUE Yi-meng, WANG Xin and ZHAO Rui. Optimal dividend and capital injection strategies in the piecewise-deterministic compound Poisson risk model[J]. Journal of Light Industry, 2015, 30(3-4): 157-160. doi: 10.3969/j.issn.2095-476X.2015.3/4.033 shu

Optimal dividend and capital injection strategies in the piecewise-deterministic compound Poisson risk model

  • Received Date: 2015-01-14
    Available Online: 2015-09-15
  • Optimal dividend payments and capital injections of the piecewise-deterministic compound Poisson risk model were discussed.The objective of an insurance business under consideration was to maximize the discounted dividend payments minus the penalized discounted capital injections.By a method to determine numerically the solution to the HJB equation,the corresponding Hamilton-Jacobi-Bellman equation was derived.And the optimal dividend and strategy was the Threshold strategy.This conclusion made the risk model have more realistic and more practical significance.
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    1. [1]

      Cai J,Feng R,Willmot G E.On the expectation of total discounted operating costs up to default and its applications[J].Advances in Applied Probability,2009(41):495.

    2. [2]

      董继国.逐段决定复合泊松风险模型的最优控制问题[D].石家庄:河北师范大学,2014.

    3. [3]

      Schmidli H.Optimal dividend strategies in a Cramer-Lundberg model with capital injections[J].Insurance:Mathematcs and Economics,2008(5):1.

    4. [4]

      Scheer N,Schmidli H.Optimal dividend strategies in a Cramer-Lundberg model with capital injections and administration costs[J].European Actuarial Journal,2011(1):57.

    5. [5]

      Akyildirim E,Güney I E,Rochet J C,et al.Optimal dividend policy with random interest rates[J].Journal of Mathematical Economics,2014,51:93.

    6. [6]

      Hunting M,Paulsen J.Optimal dividend policies with transaction costs for a class of jump-diffusion processes[J].Finance and Stochastics,2013,17(1):73.

    7. [7]

      Zhu J.Optimal dividend control for a generalized risk model with investment incomes and debit interest[J].Scandinavian Actuarial Journal,2013,2013(2):140.

    8. [8]

      Eisenberg J,Schmidli H.Optimal control of capital injections by reinsurance in a diffusion approximation[J].Blätter der DGVFM,2009,30(1):1.

    9. [9]

      Eisenberg J,Schmidli H.Minimising expected discounted capital injections by reinsurance in a classical risk model[J].Scandinavian Actuarial Journal,2011,2011(3):155.

    10. [10]

      Albrecher H,Thonhauser S.Optimality results for dividend problems in insurance[J].Racsam Rev R Acad Cien Serie A Math,2009,103(2):295.

    11. [11]

      Shen Y,Yin C.Optimal dividend problem for a compound poisson risk model[J].Applied Mathematics,2014,5(10):1496.

    12. [12]

      Paulsen J.Optimal dividend payments and reinvestments of diffusion processes with both fixed and proportional costs[J].Siam Journal on Control and Optimization,2008,47(5):2201.

    13. [13]

      Zhou M,Yuen K C.Portfolio selection by minimizing the present value of capital injection costs[J].Astin Bulletin,2015,45(1):207.

    14. [14]

      Fleming W,Soner H.Controlled Markov Processes and Viscosity Solutions[M].Newyork:Springer-Verlag,1993.

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