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相关论文: Stable Dividends under Linear-Quadratic Optimizati…

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This paper considers an insurer with two collaborating business lines that faces three critical decisions: (1) dividend payout, (2) reinsurance coverage, and (3) capital injection between the lines, in the presence of model uncertainty. The…

最优化与控制 · 数学 2026-03-27 Tim J. Boonen , Engel John C. Dela Vega , Len Patrick Dominic M. Garces

We consider a two-dimensional optimal dividend problem in the context of two insurance companies with compound Poisson surplus processes, who collaborate by paying each other's deficit when possible. We solve the stochastic control problem…

最优化与控制 · 数学 2015-05-18 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

We consider a two-dimensional optimal dividend problem in the context of two branches of an insurance company with compound Poisson surplus processes dividing claims and premia in some specified proportions. We solve the stochastic control…

最优化与控制 · 数学 2018-04-12 Pablo Azcue , Nora Muler , Zbigniew Palmowski

We consider a discrete-time version of the popular optimal dividend pay-out problem in risk theory. The novel aspect of our approach is that we allow for a risk averse insurer, i.e., instead of maximising the expected discounted dividends…

概率论 · 数学 2015-12-02 Nicole Bäuerle , Anna Jaśkiewicz

We consider de Finetti's optimal dividends problem with absolutely continuous strategies in a spectrally negative L\'evy model with Parisian ruin as the termination time. The problem considered is essentially a generalization of both the…

概率论 · 数学 2024-07-30 Félix Locas , Jean-François Renaud

We re-visit the classical problem of optimal payment of dividends and determine the degree to which the diffusion approximation serves as a valid approximation of the classical risk model for this problem. Our results parallel some of those…

最优化与控制 · 数学 2020-10-26 Asaf Cohen , Virginia R. Young

In this paper we consider the De Finetti's optimal dividend and capital injection problem under a Markov additive model. We assume that the surplus process before dividends and capital injections follows a spectrally positive Markov…

最优化与控制 · 数学 2022-10-28 Lijun Bo , Wenyuan Wang , Kaixin Yan

Consider the optimal dividend problem for an insurance company whose uncontrolled surplus precess evolves as a spectrally negative Levy process. We assume that dividends are paid to the shareholders according to admissible strategies whose…

证券定价 · 定量金融 2014-02-26 Ying Shen , Chuancun Yin , Kam Chuen Yuen

We consider the optimal dividend problem in the so-called degenerate bivariate risk model under the assumption that the surplus of one branch may become negative. More specific, we solve the stochastic control problem of maximizing…

概率论 · 数学 2022-08-02 Philipp Lukas Strietzel , Henriette Elisabeth Heinrich

We consider a stochastic control problem with the assumption that the system is controlled until the state process breaks the fixed barrier. Assuming some general conditions, it is proved that the resulting Hamilton Jacobi Bellman equations…

最优化与控制 · 数学 2025-03-24 Dariusz Zawisza

This paper considers nonlinear regular-singular stochastic optimal control of large insurance company. The company controls the reinsurance rate and dividend payout process to maximize the expected present value of the dividend pay-outs…

风险管理 · 定量金融 2010-08-31 Zongxia Liang , Jicheng Yao

In this paper, we study de Finetti's optimal dividend problem with capital injection under the assumption that the dividend strategies are absolutely continuous. In many previous studies, the process before being controlled was assumed to…

概率论 · 数学 2022-11-03 Kei Noba

This paper studies De Finetti's optimal dividend problem with capital injection under spectrally positive Markov additive models. Based on dynamic programming principle, we first study an auxiliary singular control problem with a final…

最优化与控制 · 数学 2023-07-11 Wenyuan Wang , Kaixin Yan , Xiang Yu

In this paper, we consider the optimal dividends problem for a company whose cash reserves follow a general Levy process with certain positive jumps and arbitrary negative jumps. The objective is to find a policy which maximizes the…

概率论 · 数学 2014-03-27 Chuancun Yin , Kam Chuen Yuen , Ying Shen

This paper studies an optimal dividend problem with a drawdown constraint in a Brownian motion model, requiring the dividend payout rate to remain above a fixed proportion of its historical maximum. This leads to a path-dependent stochastic…

数理金融 · 定量金融 2026-01-08 Chonghu Guan , Jiacheng Fan , Zuo Quan Xu

We consider an insurance entity endowed with an initial capital and a surplus process modelled as a Brownian motion with drift. It is assumed that the company seeks to maximise the cumulated value of expected discounted dividends, which are…

数理金融 · 定量金融 2016-03-25 Julia Eisenberg , Paul Krühner

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

We study the optimal dividend problem in the dual model where dividend payments can only be made at the jump times of an independent Poisson process. In this context, Avanzi et al. [5] solved the case with i.i.d. hyperexponential jumps;…

概率论 · 数学 2017-08-15 José-Luis Pérez , Kazutoshi Yamazaki

Aiming for more realistic optimal dividend policies, we consider a stochastic control problem with linearly bounded control rates using a performance function given by the expected present value of dividend payments made up to ruin. In a…

概率论 · 数学 2020-07-14 Jean-François Renaud , Clarence Simard

In this article we consider the surplus process of an insurance company within the Cramer-Lundberg framework. We study the optimal reinsurance strategy and dividend distribution of an insurance company under proportional reinsurance, in…

最优化与控制 · 数学 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif