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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…

Optimization and Control · Mathematics 2022-10-28 Lijun Bo , Wenyuan Wang , Kaixin Yan

In this paper we investigate an optimal dividend problem with transaction costs, where the surplus process is modelled by a refracted L\'evy process and the ruin time is considered with Parisian delay. Presence of the transaction costs…

Probability · Mathematics 2019-07-10 Irmina Czarna , Adam Kaszubowski

This paper studies de Finetti's optimal dividend problem with capital injection. We confirm the optimality of a double barrier strategy when the underlying risk model follows a L\'evy process that may have positive and negative jumps. The…

Probability · Mathematics 2019-09-17 Kei Noba

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…

Probability · Mathematics 2018-01-03 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

This paper concerns an optimal dividend distribution problem for an insurance company with surplus-dependent premium. In the absence of dividend payments, such a risk process is a particular case of so-called piecewise deterministic Markov…

Portfolio Management · Quantitative Finance 2016-04-26 Ewa Marciniak , Zbigniew Palmowski

We consider the problem of valuation of American options written on dividend-paying assets whose price dynamics follows a multidimensional exponential Levy model. We carefully examine the relation between the option prices, related partial…

Probability · Mathematics 2018-09-20 Tomasz Klimsiak , Andrzej Rozkosz

Even in the face of deteriorating and highly volatile demand, firms often invest in, rather than discard, aging technologies. In order to study this phenomenon, we model the firm's profit stream as a Brownian motion with negative drift. At…

Optimization and Control · Mathematics 2019-01-08 H. Dharma Kwon

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

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…

Risk Management · Quantitative Finance 2010-08-11 Zongxia Liang , Bin Sun

We consider two insurance companies with endowment processes given by Brownian motions with drift. The firms can collaborate by transfer payments in order to maximize the probability that none of them goes bankrupt. We show that pushing…

Probability · Mathematics 2020-04-29 Peter Grandits , Maike Klein

In this note we consider the maximization of the expected terminal wealth for the setup of quadratic transaction costs. First, we provide a very simple probabilistic solution to the problem. Although the problem was largely studied, as far…

Computational Finance · Quantitative Finance 2024-08-06 Yan Dolinsky , Doron Greenstein

In this paper, we consider the problem of maximizing the expected discounted utility of dividend payments for an insurance company that controls risk exposure by purchasing proportional reinsurance. We assume the preference of the insurer…

Portfolio Management · Quantitative Finance 2017-05-08 Xiaoqing Liang , Zbigniew Palmowski

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.…

Pricing of Securities · Quantitative Finance 2014-02-26 Chuancun Yin

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

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 study the optimal dividend problem under the continuous time diffusion model with the bounded dividend rate from the Reinforcement Learning (RL) perspective. Unlike the standard literature, our main focus will be on…

Optimization and Control · Mathematics 2026-03-30 Lihua Bai , Thejani Gamage , Jin Ma , Gaozhan Wang

We give a review of the state of the art with regard to the dividend problem.

Probability · Mathematics 2016-03-21 Zbigniew Palmowski

We study a model of a corporation which has the possibility to choose various production/business policies with different expected profits and risks. In the model there are restrictions on the dividend distribution rates as well as…

Probability · Mathematics 2008-12-10 Tahir Choulli , Michael Taksar , Xun Yu Zhou

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 impulse control of Levy processes under the infinite horizon, discounted cost criterion. Our motivating example is the cash management problem in which a controller is charged a fixed plus proportional cost for adding to or…

Probability · Mathematics 2022-06-10 Peter Lakner , Josh Reed
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