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We consider the problem of maximizing the discounted utility of dividend payments of an insurance company whose reserves are modeled as a classical Cram\'er-Lundberg risk process. We investigate this optimization problem under the…

Computational Finance · Quantitative Finance 2017-05-08 Zbigniew Palmowski , Sebastian Baran

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…

Probability · Mathematics 2021-12-03 Fuyun Sun , Zhanjie Song

We address a long-standing open problem in risk theory, namely the optimal strategy to pay out dividends from an insurance surplus process, if the dividend rate can never be decreased. The optimality criterion here is to maximize the…

Portfolio Management · Quantitative Finance 2021-06-08 Hansjoerg Albrecher , 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…

Risk Management · Quantitative Finance 2010-06-01 Zongxia Liang , Jianping Huang

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…

Risk Management · Quantitative Finance 2019-01-23 Julia Eisenberg , Paul Krühner

We consider the optimal dividend problem under a habit formation constraint that prevents the dividend rate to fall below a certain proportion of its historical maximum, the so-called drawdown constraint. This is an extension of the optimal…

Mathematical Finance · Quantitative Finance 2019-03-25 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

We introduce a longevity feature to the classical optimal dividend problem by adding a constraint on the time of ruin of the firm. We extend the results in \cite{HJ15}, now in context of one-sided L\'evy risk models. We consider de…

Optimization and Control · Mathematics 2017-05-12 Camilo Hernandez , Mauricio Junca , Harold Moreno-Franco

We solve the pricing problem for perpetual American puts and calls on dividend-paying assets. The dependence of a dividend process on the underlying stochastic factor is fairly general: any non-decreasing function is admissible. The…

Other Condensed Matter · Physics 2008-12-02 Svetlana Boyarchenko , Sergei Levendorskii

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

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

This paper studies the bailout optimal dividend problem with regime switching under the constraint that dividend payments can be made only at the arrival times of an independent Poisson process while capital can be injected continuously in…

Probability · Mathematics 2022-07-05 Dante Mata , Harold A. Moreno-Franco , Kei Noba , José-Luis Pérez

In this paper we study the problem of optimally paying out dividends from an insurance portfolio, when the criterion is to maximize the expected discounted dividends over the lifetime of the company and the portfolio contains claims due to…

Portfolio Management · Quantitative Finance 2023-11-13 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

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…

Risk Management · Quantitative Finance 2020-10-30 Zhuo Jin , Huafu Liao , Yue Yang , Xiang Yu

In this article we consider the surplus process of an insurance company within the Cramer-Lundberg framework. We study the optimal reinsurance strategy and dividend distribution of an insurance company under proportional reinsurance, in…

Optimization and Control · Mathematics 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

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

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

Probability · Mathematics 2016-03-21 Zbigniew Palmowski

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…

Mathematical Finance · Quantitative Finance 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

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

We consider the bail-out optimal dividend problem under fixed transaction costs for a L\'evy risk model. Furthermore, we consider the version with a constraint expected net present value of injected capital. To characterize the solution to…

Probability · Mathematics 2018-09-19 Mauricio Junca , Harold Moreno-Franco , José Luis Pérez

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…

Optimization and Control · Mathematics 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega
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