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相关论文: Dividend and Capital Injection Optimization with T…

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We study an optimal dividend problem for an insurer who simultaneously controls investment weights in a financial market, liability ratio in the insurance business, and dividend payout rate. The insurer seeks an optimal strategy to maximize…

数理金融 · 定量金融 2021-05-27 Zhuo Jin , Zuo Quan Xu , Bin Zou

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

We consider an optimal dividend problem with transaction costs where the surplus is modelled by a spectrally negative L\'evy process in an Omega model. n this model, the surplus is allowed to spend time below the critical ruin level, but is…

最优化与控制 · 数学 2025-09-01 Dante Mata

In this paper, we revisit the optimal periodic dividend problem, in which dividend payments can only be made at the jump times of an independent Poisson process. In the dual (spectrally positive L\'evy) model, recent results have shown the…

最优化与控制 · 数学 2018-02-27 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

We disucss a statistical estimation problem of an optimal dividend barrier when the surplus process follows a L\'{e}vy insurance risk process. The optimal dividend barrier is defined as the level of the barrier that maximizes the…

统计理论 · 数学 2022-09-14 Yasutaka Shimizu , Hiroshi Shiraishi

This paper studies a general L\'evy process model of the bail-out optimal dividend problem with an exponential time horizon, and further extends it to the regime-switching model. We first show the optimality of a double barrier strategy in…

概率论 · 数学 2024-10-28 Dante Mata López , Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki

De Finetti's optimal dividend problem has recently been extended to the case dividend payments can only be made at Poisson arrival times. This paper considers the version with bail-outs where the surplus must be nonnegative uniformly in…

概率论 · 数学 2018-01-03 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

We consider an optimal stochastic control problem in which a firm's cash/surplus process is controlled by dividend payments and capital injections. Stockholders aim to maximize their dividend stream minus the cost of injecting capital, if…

最优化与控制 · 数学 2023-11-20 Jean-François Renaud , Alexandre Roch , Clarence Simard

This paper investigates dividend optimization of an insurance corporation under a more realistic model which takes into consideration refinancing or capital injections. The model follows the compound Poisson framework with credit interest…

最优化与控制 · 数学 2012-09-19 Jinxia Zhu

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 mixed ratcheting-periodic dividend strategies for spectrally negative L\'{e}vy risk model, in which dividend payments can both be made continuously without falling and discretely at the jump times of an…

概率论 · 数学 2021-12-03 Fuyun Sun , Zhanjie Song

We consider the optimal dividend problem for the insurance risk process in a general Levy process setting. The objective is to find a strategy which maximizes the expected total discounted dividends until the time of ruin. We give…

概率论 · 数学 2011-01-04 Kam Chuen Yuen , Chuancun Yin

We study the optimal financing and dividend distribution problem with restricted dividend rates in a diffusion type surplus model where the drift and volatility coefficients are general functions of the level of surplus and the external…

最优化与控制 · 数学 2015-06-30 Jinxia Zhu , Hailiang Yang

This paper investigates a dividend optimization problem with a positive creeping-associated terminal value at ruin for spectrally negative Levy processes. We consider an insurance company whose surplus process evolves according to a…

概率论 · 数学 2023-01-10 Chongrui Zhu

Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

风险管理 · 定量金融 2010-12-22 Zongxia Liang , Jicheng Yao

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

This paper concerns an optimal impulse control problem associated with a refracted L\'{e}vy process, involving the reduction of reserves to a predetermined level whenever they exceed a specified threshold. The ruin time is determined by…

最优化与控制 · 数学 2026-01-29 Zhongqin Gao , Yan Lv , Jingmin He

We consider in this paper the optimal dividend problem for an insurance company whose uncontrolled reserve process evolves as a classical Cram\'{e}r--Lundberg process. The firm has the option of investing part of the surplus in a…

投资组合管理 · 定量金融 2010-10-26 Pablo Azcue , Nora Muler

This paper considers optimal control problem of a large insurance company under a fixed insolvency probability. The company controls proportional reinsurance rate, dividend pay-outs and investing process to maximize the expected present…

风险管理 · 定量金融 2010-06-01 Zongxia Liang , Jianping Huang

We analyze the optimal dividend payment problem in the dual model under constant transaction costs. We show, for a general spectrally positive L\'{e}vy process, an optimal strategy is given by a $(c_1,c_2)$-policy that brings the surplus…

概率论 · 数学 2013-11-13 Erhan Bayraktar , Andreas Kyprianou , Kazutoshi Yamazaki