共查询到19条相似文献,搜索用时 109 毫秒
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考虑常数分红界下带扰动的马尔可夫调制对偶风险模型,其中保险公司收益到达过程、收益额的大小以及支出都受一马尔可夫过程的影响,得到了破产前累积分红折现均值所满足的积分一微分方程及边界条件;进一步得到了两状态下,收益分布为指数分布和混合指数分布时累积分红折现均值的表达式,最后给出了数值模拟实例. 相似文献
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主要研究了常数分红界下两离散相依险种风险模型的分红问题.模型假定一个险种的主索赔以一定的概率引起另外一险种的副索赔,且副索赔可能延迟发生,推导了到破产前一时刻为止累积分红折现均值满足的差分方程,并得到了特殊索赔额下累积分红折现均值的具体表达式,最后结合实际例子进行了数值模拟. 相似文献
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本文研究了复合Poisson模型带投资-借贷利率和固定交易费用的最优分红问题。通过控制分红时刻和分红量,最大化直到绝对破产时刻的累积期望折现分红。由于考虑固定交易费用,问题为一个随机脉冲控制问题。首先,本文给出了一个策略是平稳马氏策略的充分必要条件。借助于测度值生成元理论得到测度值动态规划方程(简称测度值DPE),并且在没有任何附加条件下证明了验证定理。通过Lebesgue分解,本文讨论了测度值DPE和拟变分不等式(简称QVI)之间的关系,证明了最优分红策略为具有波段结构的平稳马氏策略。最后,本文给出了求解n-波段策略和相应值函数的算法。当索赔额服从指数分布时,得到了值函数的显示解和最优分红策略。 相似文献
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该文将随机保费收入、相依索赔以及随机分红策略引入到复合二项风险模型中,并研究该模型下的随机分红问题.运用母函数的方法,推导得到保险公司直至破产前的期望累积折现分红量满足的差分方程及其解.最后,通过几个数值例子展示了所得结果. 相似文献
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本文研究保险公司在有再保险控制下的最优脉冲分红问题. 对保险公司的理赔损失, 假定有两家再保险公司参与分保, 且保险公司与两家再保险公司采取不同参数下的方差保费准则. 进一步, 假定保险公司有股东红利分配, 且每次分红有固定交易费和比例税收, 即脉冲分红. 在扩散逼近模型下, 本文应用随机动态规划方法研究破产前的最大期望折现分红, 给出值函数的解析表达式, 进而获得最优再保险策略和分红策略的具体形式. 相似文献
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In this paper, the risk model under constant dividend
barrier strategy is studied, in which the premium income follows a compound
Poisson process and the arrival of the claims is a p-thinning process of the
premium arrival process. The integral equations with boundary conditions for
the expected discounted aggregate dividend payments and the expected discounted
penalty function until ruin are derived. In addition, the explicit expressions
for the Laplace transform of the ruin time and the expected aggregate discounted
dividend payments until ruin are given when the individual stochastic premium
amount and claim amount are exponentially distributed. Finally, the optimal
barrier is presented under the condition of maximizing the expectation of the
difference between discounted aggregate dividends until ruin and the deficit at ruin. 相似文献
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文章考虑了复合Poisson-Geometic风险下带投资和障碍分红的Gerber-shiu函数问题,运用全期望公式得到了复合Poisson-Geometic风险下带投资和障碍分红的函数所满足的更新方程。并在指数分布的假设下,得到了带投资和障碍分红的保险公司的破产概率的显式表达,最后通过数值算例分析了风险模型的几个关键参数对破产概率的影响,验证了文章结果的合理性,同时也给保险公司的资金管理提出了指导意见。结果表明:充足的初始准备金、较低的赔付门槛、较高收益率的风险资产都是降低破产风险的重要策略。 相似文献
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N. V. Karapetyan 《Moscow University Mathematics Bulletin》2009,64(5):219-221
The classic insurance company work model with gamma-distribution of claim amount is considered. It is supposed that the company
applies a dividend barrier strategy. The form of the expected discounted dividends accumulated until the ruin and the expected
discounted deficit at the ruin are found. We deal with the optimal barriers which maximize either the dividends amount or
shareholders profit. The barrier optimization is illustrated by some examples. 相似文献
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Stefan Thonhauser 《Insurance: Mathematics and Economics》2007,41(1):163-184
In the Cramér-Lundberg model and its diffusion approximation, it is a classical problem to find the optimal dividend payment strategy that maximizes the expected value of the discounted dividend payments until ruin. One often raised disadvantage of this approach is the fact that such a strategy does not take the lifetime of the controlled process into account. In this paper we introduce a value function which considers both expected dividends and the time value of ruin. For both the diffusion model and the Cramér-Lundberg model with exponential claim sizes, the problem is solved and in either case the optimal strategy is identified, which for unbounded dividend intensity is a barrier strategy and for bounded dividend intensity is of threshold type. 相似文献
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In this paper, we consider the classical surplus process with a constant dividend barrier and a dependence structure between
the claim amounts and the inter-claim times. We derive an integro-differential equation with boundary conditions. Its solution
is expressed as the Gerber-Shiu discounted penalty function in the absence of a dividend barrier plus a linear combination
of a finite number of linearly independent particular solutions to the associated homogeneous integro-differential equation.
Finally, we obtain an explicit solution when the claim amounts are exponentially distributed and we investigate the effects
of dependence on ruin quantities. 相似文献
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This paper attempts to study the dividend payments in a compound Poisson surplus process with debit interest. Dividends are paid to the shareholders according to a barrier strategy. An alternative assumption is that business can go on after ruin, as long as it is profitable. When the surplus is negative, a debit interest is applied. At first, we obtain the integro‐differential equations satisfied by the moment‐generating function and moments of the discounted dividend payments and we also prove the continuous property of them at zero. Then, applying these results, we get the explicit expressions of the moment‐generating function and moments of the discounted dividend payments for exponential claims. Furthermore, we discuss the optimal dividend barrier when the claim sizes have a common exponential distribution. Finally, we give the numerical examples for exponential claims and Erlang (2) claims. Copyright © 2008 John Wiley & Sons, Ltd. 相似文献
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This paper considers a perturbed renewal risk process in which the inter-claim times have a phase-type distribution under a threshold dividend strategy. Integro-differential equations with certain boundary conditions for the moment-generating function and the mth moment of the present value of all dividends until ruin are derived. Explicit expressions for the expectation of the present value of all dividends until ruin are obtained when the claim amount distribution is from the rational family. Finally, we present an example. 相似文献
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The Optimal Dividend and Capital Injection Strategies in the Classical Risk Model with Randomized Observation Periods 下载免费PDF全文
This paper considers the optimal dividend and capital injection
strategies in the classical risk model with randomized observation periods. Assume that ruin
is prohibited. We aim to maximise the expected discounted dividend payments minus the expected
penalised discounted capital injections. We derive the associated Hamilton-Jacobi-Bellman
(HJB) equation and prove the verification theorem. The optimal control strategy and the
optimal value function are obtained under the assumption that the claim sizes are
exponentially distributed. 相似文献