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Related papers: On the Bailout Dividend Problem with Periodic Divi…

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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…

Optimization and Control · Mathematics 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco

We consider a version of de Finetti's dividend problem, with the bail-out contraint to keep the surplus non-negative, and where dividend payments can only be made at the arrival times of an independent Poisson process. For a general L\'evy…

Probability · Mathematics 2025-05-13 Dante Mata , Kei Noba , José-Luis Pérez

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

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

In this paper, we revisit the optimal periodic dividend problem, in which dividend payments can only be made at the jump times of an independent Poisson process. In the dual (spectrally positive L\'evy) model, recent results have shown the…

Optimization and Control · Mathematics 2018-02-27 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

We study the optimal dividend problem in the dual model where dividend payments can only be made at the jump times of an independent Poisson process. In this context, Avanzi et al. [5] solved the case with i.i.d. hyperexponential jumps;…

Probability · Mathematics 2017-08-15 José-Luis Pérez , Kazutoshi Yamazaki

We consider the general class of spectrally positive L\'evy risk processes, which are appropriate for businesses with continuous expenses and lump sum gains whose timing and sizes are stochastic. Motivated by the fact that dividends cannot…

Optimization and Control · Mathematics 2020-09-10 Benjamin Avanzi , Hayden Lau , Bernard Wong

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

In this paper we consider the optimal dividend problem for an insurance company whose risk process evolves as a spectrally negative L\'{e}vy process in the absence of dividend payments. The classical dividend problem for an insurance…

Probability · Mathematics 2008-12-10 Florin Avram , Zbigniew Palmowski , Martijn R. Pistorius

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…

Optimization and Control · Mathematics 2019-02-19 Kristoffer Lindensjö , Filip Lindskog

This paper considers the optimal dividend payment problem in piecewise-deterministic compound Poisson risk models. The objective is to maximize the expected discounted dividend payout up to the time of ruin. We provide a comparative study…

Optimization and Control · Mathematics 2016-08-02 Runhuan Feng , Hans Volkmer , Shuaiqi Zhang , Chao Zhu

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

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.…

Mathematical Finance · Quantitative Finance 2020-01-14 Julia Eisenberg , Zbigniew Palmowski

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…

Mathematical Finance · Quantitative Finance 2018-06-12 José-Luis Pérez , Kazutoshi Yamazaki , Xiang Yu

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 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…

Optimization and Control · Mathematics 2012-09-19 Jinxia Zhu

We disucss a statistical estimation problem of an optimal dividend barrier when the surplus process follows a L\'{e}vy insurance risk process. The optimal dividend barrier is defined as the level of the barrier that maximizes the…

Statistics Theory · Mathematics 2022-09-14 Yasutaka Shimizu , Hiroshi Shiraishi

Maximising dividends is one classical stability criterion in actuarial risk theory. Motivated by the fact that dividends are paid periodically in real life, $\textit{periodic}$ dividend strategies were recently introduced (Albrecher, Gerber…

Optimization and Control · Mathematics 2021-08-19 Benjamin Avanzi , Hayden Lau , Bernard Wong

This paper studies the bail-out optimal dividend problem with regime switching under the constraint that the cumulative dividend strategy is absolutely continuous. We confirm the optimality of the regime-modulated refraction-reflection…

Mathematical Finance · Quantitative Finance 2020-02-10 Kei Noba , José-Luis Pérez , Xiang Yu

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
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