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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…

Optimization and Control · Mathematics 2026-03-27 Tim J. Boonen , Engel John C. Dela Vega , Len Patrick Dominic M. Garces

Optimal dividend strategy in dual risk model is well studied in the literatures. But to the best of our knowledge, all the previous works assumes deterministic interest rate. In this paper, we study the optimal dividends strategy in dual…

Mathematical Finance · Quantitative Finance 2017-05-24 Zailei Cheng

We investigate the problem of optimal dividend distribution for a company in the presence of regime shifts. We consider a company whose cumulative net revenues evolve as a Brownian motion with positive drift that is modulated by a finite…

General Finance · Quantitative Finance 2011-04-20 Zhengjun Jiang , Martijn Pistorius

In this paper we consider a company whose assets and liabilities evolve according to a correlated bivariate geometric Brownian motion, such as in Gerber and Shiu (2003). We determine what dividend strategy maximises the expected present…

Optimization and Control · Mathematics 2022-10-18 Benjamin Avanzi , Ping Chen , Lars Frederik Brandt Henriksen , Bernard Wong

In this paper we solve the dividend optimization problem for a corporation or a financial institution when the managers of the corporation are facing (regulatory) implementation delays. We consider several cash reservoir models for the firm…

Optimization and Control · Mathematics 2009-01-21 Erhan Bayraktar , Masahiko Egami

We consider the dividend maximization problem including a ruin penalty in a diffusion environment. The additional penalty term is motivated by a constraint on dividend strategies. Intentionally, we use different discount rates for the…

Optimization and Control · Mathematics 2022-04-20 Josef Anton Strini , Stefan Thonhauser

We consider de Finetti's stochastic control problem for a spectrally negative L\'evy process in an Omega model. In such a model, the (controlled) process is allowed to spend time under the critical level but is then subject to a…

Probability · Mathematics 2024-09-24 Dante Mata , Jean-François Renaud

We consider a modification of the dividend maximization problem from ruin theory. Based on a classical risk process we maximize the difference of expected cumulated discounted dividends and total expected discounted additional funding…

Portfolio Management · Quantitative Finance 2019-01-21 Josef Anton Strini , Stefan Thonhauser

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…

Optimization and Control · Mathematics 2025-09-01 Dante Mata

We study the dual model with capital injection under the additional condition that the dividend strategy is absolutely continuous. We consider a refraction-reflection strategy that pays dividends at the maximal rate whenever the surplus is…

Optimization and Control · Mathematics 2016-08-24 José-Luis Pérez , Kazutoshi Yamazaki

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…

Optimization and Control · Mathematics 2018-10-04 Pablo Azcue , Nora Muler

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…

Optimization and Control · Mathematics 2023-11-20 Jean-François Renaud , Alexandre Roch , Clarence Simard

In this paper, we consider the optimal dividend problem for a company. We describe the surplus process of the company by a diffusion model with regime switching. The aim of the company is to choose a dividend policy to maximize the expected…

Mathematical Finance · Quantitative Finance 2014-07-01 Xiaoxiao Zheng , Xin Zhang

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…

Risk Management · Quantitative Finance 2010-12-22 Zongxia Liang , Jicheng Yao

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…

Optimization and Control · Mathematics 2015-05-18 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

In this paper we study the valuation problem of an insurance company by maximizing the expected discounted future dividend payments in a model with partial information that allows for a changing economic environment. The surplus process is…

Mathematical Finance · Quantitative Finance 2016-08-03 Michaela Szölgyenyi

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…

Probability · Mathematics 2019-04-02 Tiziano De Angelis

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)…

Optimization and Control · Mathematics 2025-08-12 Tim J. Boonen , Engel John C. Dela Vega , Bin Zou

A new approach to solve the continuous-time stochastic inventory problem using the fluctuation theory of Levy processes is developed. This approach involves the recent developments of the scale function that is capable of expressing many…

Optimization and Control · Mathematics 2016-03-25 Kazutoshi Yamazaki

We revisit the optimal dividend problem of de Finetti by adding a variance term to the usual criterion of maximizing the expected discounted dividends paid until ruin, in a singular control framework. Investors do not like variability in…

Optimization and Control · Mathematics 2025-11-12 Jingyi Cao , Dongchen Li , Virginia R. Young , Bin Zou
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