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保险公司最优投资及再保险策略 被引量:13

Optimal Investment and Proportional Reinsurance Strategies
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摘要 在最大化生存概率和最大化终止时刻期望效用准则下,通过求解相应的HJB方程,获得了最优投资策略以及最优比例再保险策略的闭式解。这一研究结果易于实时操作,对投资者的决策有直接的指导意义。 In this paper, we consider the optimal investment and proportional reinsurance policy for the maximal survival probability or maximizing expected exponential utility from terminal wealth. In each case we solve the corresponding Hamilton-Jacobi-Bellman equation and find a closed-form expression.
作者 罗琰 杨招军
出处 《财经理论与实践》 CSSCI 北大核心 2009年第3期31-34,共4页 The Theory and Practice of Finance and Economics
关键词 生存概率 指数效用 HJB方程 比例再保险 Survival probability Exponential utility Hamilton-Jacobi-Bellman equation Proportional reinsurance
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参考文献9

  • 1Browne,S.,1995.Optimal investment policies for a firm with a random risk process:Exponential utility and minimizing the probability of ruin[J].Mathematics of Operations Research 20 (4),937-958.
  • 2Browne,S.,1997.Survival and growth with liability:Optimal portfolio strategies in continuous time[J].Mathematics of Operations Research 22,468-492.
  • 3Bai,L.,Guo,J.2007.Optimal proportional reinsurance and investment with multiple risky assets and no-shorting constraint[J].Insurance:Mathematics and Economics (2007),doi:10.1016/j.insmatheco.2007.11.002.
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  • 7杨昭军,李致中.债务固定的公司最优生存策略[J].系统工程理论与实践,2000,20(5):54-57. 被引量:10
  • 8刘夏清,李林,杨招军.指数效用下企业的风险投资策略[J].中国管理科学,2003,11(2):66-69. 被引量:6
  • 9杨招军.最优投资与衍生资产定价[M].长沙:湖南大学出版社,2008.

二级参考文献4

  • 1杨昭军.投机市场数量规律研究[J].经济数学,1991,0(1):80-88. 被引量:6
  • 2Browne, S. Optimal investment policies for a firm with a random risk process:Exponential utility and minimizing the probability of ruin[J ]. Math. Oper. Res. 1995, (20) : 937 -958.
  • 3Krylov, N. V., Controlled Diffusion Process [ M]. Springer-Verlag, New York, 1980.
  • 4Browne, S. Survival and growth with a liability: Optimal portfolio strategies in continuous time [ J ]. Math. Oper.Res. 1997, (22) :468 - 493.

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