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This paper considers an optimal control of a big financial company with debt liability under bankrupt probability constraints. The company, which faces constant liability payments and has choices to choose various production/business…

风险管理 · 定量金融 2010-08-11 Zongxia Liang , Bin Sun

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 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

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

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 problem of optimal risk policies and dividend strategies for an insurance company operating under the constraint that the timing of shareholder payouts is governed by the arrival times of a Poisson process. Concurrently, risk…

最优化与控制 · 数学 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco

We consider an optimal control problem of a property insurance company with proportional reinsurance strategy. The insurance business brings in catastrophe risk, such as earthquake and flood. The catastrophe risk could be partly reduced by…

风险管理 · 定量金融 2010-09-08 Zongxia Liang , Lin He , Jiaoling Wu

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

This paper considers an insurer with two collaborating business lines, and the risk exposure of each line follows a diffusion risk model. The manager of the insurer makes three decisions for each line: (i) dividend payout, (ii)…

最优化与控制 · 数学 2025-08-12 Tim J. Boonen , Engel John C. Dela Vega , Bin Zou

In this note we study the optimal dividend problem for a company whose surplus process, in the absence of dividend payments, evolves as a generalized compound Poisson model in which the counting process is a generalized Poisson process.…

证券定价 · 定量金融 2014-02-26 Chuancun Yin

We study a singular stochastic control problem faced by the owner of an insurance company that dynamically pays dividends and raises capital in the presence of the restriction that the surplus process must be above a given dividend payout…

最优化与控制 · 数学 2019-02-19 Kristoffer Lindensjö , Filip Lindskog

This paper studies the optimal dividend for a multi-line insurance group, in which each subsidiary runs a product line and is exposed to some external credit risk. The default contagion is considered such that one default event may increase…

风险管理 · 定量金融 2020-10-30 Zhuo Jin , Huafu Liao , Yue Yang , Xiang Yu

We study the optimal bailout dividend problem with transaction costs for an insurance company, where shareholder payouts align with the arrival times of an independent Poisson process. In this scenario, the underlying risk model follows a…

最优化与控制 · 数学 2024-03-26 Harold A. Moreno-Franco , Jose-Luis Pérez

Adopting a probabilistic approach we determine the optimal dividend payout policy of a firm whose surplus process follows a controlled arithmetic Brownian motion and whose cash-flows are discounted at a stochastic dynamic rate. Dividends…

最优化与控制 · 数学 2021-06-22 Elena Bandini , Tiziano De Angelis , Giorgio Ferrari , Fausto Gozzi

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

In this paper we study the optimal dividend problem for a company whose surplus process evolves as a spectrally positive Levy process. This model including the dual model of the classical risk model and the dual model with diffusion as…

投资组合管理 · 定量金融 2014-03-11 Chuancun Yin , Yuzhen Wen , Yongxia Zhao

This paper considers an insurer with two collaborating business lines that must make three critical decisions: (1) dividend payout, (2) a combination of proportional and excess-of-loss reinsurance coverage, and (3) capital injection between…

最优化与控制 · 数学 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

We consider a mixed stochastic control problem that arises in Mathematical Finance literature with the study of interactions between dividend policy and investment. This problem combines features of both optimal switching and singular…

概率论 · 数学 2008-12-18 Vathana Ly Vath , Huyên Pham , Stéphane Villeneuve

This paper extends the classical dividend problem by incorporating a novel, path-dependent mechanism of firm default. In the traditional framework, ruin occurs when the surplus process first reaches zero. In contrast, default in our model…

最优化与控制 · 数学 2026-01-30 Andi Bodnariu , Nils Engler , Neofytos Rodosthenous

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
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