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91.
We consider an optimal impulse control problem on reinsurance, dividend and reinvestment of an insurance company. To close reality, we add fixed and proportional transaction costs to this problem. The value of the company is associated with expected present value of net dividends pay out minus the net reinvestment capitals until ruin time. We focus on non-cheap proportional reinsurance. We prove that the value function is a unique solution to associated Hamilton–Jacobi–Bellman equation, and establish the regularity property of the viscosity solution under a weak assumption. We solve the non-uniformly elliptic equation associated with the impulse control problem. Finally, we derive the value function and the optimal strategy of the control problem. 相似文献
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In this paper, we consider a Sparre Andersen model perturbed by diffusion with generalized Erlang(n)-distributed inter-claim times and a threshold dividend strategy. Integro-differential equations with certain boundary conditions for the moment-generation function and the mth moment of the present value of all dividends until ruin are derived. We also derive integro-differential equations with boundary conditions for the Gerber–Shiu functions. The special case where the inter-claim times are Erlang(2) distributed and the claim size distribution is exponential is considered in some details. 相似文献
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In this paper, we study the dividend problems for finite time interval in the classical risk model. Assume that the dividends are paid according to a barrier strategy in the time interval $[0,t]$, i.e., given a nonnegative barrier value $b$, the dividends only can be paid when the surplus exceeds $b$ and the excess is paid as dividend. Applying the ``differential argument', the equation for the total expected discounted dividends in the time interval $[0,t]$ ($V(x;t)$) is derived, and the
explicit expression for the Laplace transform of $V(x;t)$ with respect to $t$ is obtained under the assumption that the claim sizes are exponentially distributed. Finally, a numerical example is given by Stehfest method. 相似文献
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解决股利之谜需要将多种因素联合考虑并理解它们间的相互影响,传统和现代股利理论基本上都忽视了人的行为因素方面的研究,行为金融学将心理学与社会学的成果引进金融研究领域,从微观个体的心理和社会动机的层次为股利政策的研究带来了新的视角。本文对投资者股利类型偏好做了实证研究,证明了投资者对股利类型的偏好受到上市公司盈利情况、成长性等其他因素的影响,并运用行为金融学的理论从投资者心理行为角度进行了深入分析。 相似文献
97.
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
98.
连续支付红利的Black-Scholes期权定价模型的新解法 总被引:1,自引:1,他引:0
本文研究了期权定价模型的求解.利用梅林变换和傅利叶变换技巧,得到了连续支付红利的Black-Scholes期权定价模型的一新解法. 相似文献
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在经典复合泊松模型的基础上,研究线性红利边界下两步保费率风险模型的Gerber-Shiu贴现罚金函数.根本目的是推导出它的微积分方程和偏微积分方程.同时给出了线性红利边界下Lundberg基本方程;利用Laplace变换求出了最终破产概率. 相似文献