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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

This paper studies the optimal dividend problem with capital injection under the constraint that the cumulative dividend strategy is absolutely continuous. We consider an open problem of the general spectrally negative case and derive the…

数理金融 · 定量金融 2018-06-12 José-Luis Pérez , Kazutoshi Yamazaki , Xiang Yu

We study an optimal dividend problem under a bankruptcy constraint. Firms face a trade-off between potential bankruptcy and extraction of profits. In contrast to previous works, general cash flow drifts, including Ornstein--Uhlenbeck and…

最优化与控制 · 数学 2018-03-05 Max Reppen , Jean-Charles Rochet , H. Mete Soner

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

Motivated by recent developments in risk management based on the U.S. bankruptcy code, we revisit the De Finetti's optimal dividend problem by incorporating the reorganization process and regulator's intervention documented in Chapter 11…

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

This paper considers an optimal dividend distribution problem for an insurance company where the dividends are paid in a foreign currency. In the absence of dividend payments, our risk process follows a spectrally negative L\'evy process.…

数理金融 · 定量金融 2020-01-14 Julia Eisenberg , Zbigniew Palmowski

In this paper, we investigate the problem of optimal strategies of dividend and reinsurance under the Cram\'{e}r-Lundberg risk model embedded with the thinning-dependence structure which was firstly introduced by Wang and Yuen (2005),…

最优化与控制 · 数学 2020-07-02 Mi Chen , Kam Chuen Yuen , Wenyuan Wang

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

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 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 problem of optimal dividend payment strategy which maximizes the expected discounted sum of dividends to a multidimensional set up of n associated insurance companies where the surplus process follows an…

最优化与控制 · 数学 2018-10-04 Pablo Azcue , Nora Muler

We consider a diffusion risk model where dividends are paid at rate $U(t) \in [0, u_0]$. We are interested in maximising the dividend payments under a drawdown constraint, that is, we penalise a drawdown size larger than a level $d > 0$. We…

最优化与控制 · 数学 2025-11-06 Kira Dudziak , Hanspeter Schmidli

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

We consider an insurance company modelling its surplus process by a Brownian motion with drift. Our target is to maximise the expected exponential utility of discounted dividend payments, given that the dividend rates are bounded by some…

风险管理 · 定量金融 2019-01-23 Julia Eisenberg , Paul Krühner

The optimization criterion for dividends from a risky business is most often formalized in terms of the expected present value of future dividends. That criterion disregards a potential, explicit demand for stability of dividends. In…

最优化与控制 · 数学 2023-06-22 Benjamin Avanzi , Debbie Kusch Falden , Mogens Steffensen

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

数理金融 · 定量金融 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

We study a problem when a solution to optimal stopping problem for one-dimensional diffusion will generate by threshold strategy. Namely, we give necessary and sufficient conditions under which an optimal stopping time can be specified as…

概率论 · 数学 2013-06-20 V. I. Arkin , A. D. Slastnikov

We study the optimal dividend problem for a firm's manager who has partial information on the profitability of the firm. The problem is formulated as one of singular stochastic control with partial information on the drift of the underlying…

概率论 · 数学 2019-04-02 Tiziano De Angelis

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

This paper concerns the dual risk model, dual to the risk model for insurance applications, where premiums are surplus-dependent. In such a model premiums are regarded as costs, while claims refer to profits. We calculate the mean of the…

证券定价 · 定量金融 2016-05-17 Ewa Marciniak , Zbigniew Palmowski