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We consider a class of two-sided singular control problems. A controller either increases or decreases a given spectrally negative Levy process so as to minimize the total costs comprising of the running and control costs where the latter…

最优化与控制 · 数学 2015-02-06 Erik J. Baurdoux , Kazutoshi Yamazaki

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…

概率论 · 数学 2018-09-19 Mauricio Junca , Harold Moreno-Franco , José Luis Pérez

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…

最优化与控制 · 数学 2026-03-27 Tim J. Boonen , Engel John C. Dela Vega , Len Patrick Dominic M. Garces

In this paper we consider dividend problem for an insurance company whose risk evolves as a spectrally negative L\'{e}vy process (in the absence of dividend payments) when Parisian delay is applied. The objective function is given by the…

投资组合管理 · 定量金融 2011-10-19 Irmina Czarna , Zbigniew Palmowski

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…

最优化与控制 · 数学 2019-02-19 Kristoffer Lindensjö , Filip Lindskog

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…

概率论 · 数学 2024-09-24 Dante Mata , Jean-François Renaud

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

概率论 · 数学 2016-03-21 Zbigniew Palmowski

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…

数理金融 · 定量金融 2020-02-10 Kei Noba , José-Luis Pérez , Xiang Yu

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…

最优化与控制 · 数学 2022-10-18 Benjamin Avanzi , Ping Chen , Lars Frederik Brandt Henriksen , Bernard Wong

We consider a company that receives capital injections so as to avoid ruin. Differently from the classical bail-out settings where the underlying process is restricted to stay at or above zero, we study the case bail-out can only be made at…

概率论 · 数学 2017-05-12 Florin Avram , José Luis Pérez , Kazutoshi Yamazaki

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…

概率论 · 数学 2022-07-05 Dante Mata , Harold A. Moreno-Franco , Kei Noba , José-Luis Pérez

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

We revisit the optimization problem solved in L{\o}kka & Zervos (2008), i.e., the maximization of dividends, in a Brownian risk model, with the possibility (not the obligation) of making capital injections. Following the approach introduced…

最优化与控制 · 数学 2026-04-20 Tommy Mastromonaco , Nacer Fendri , Jean-François Renaud , Clarence Simard

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

In this paper, we consider the optimal dividend problem of the renewal risk model with phase-type distributed interclaim times and exponentially distributed claim sizes. Assume that the phases of the interclaim times can be observed. We…

最优化与控制 · 数学 2020-11-19 Linlin Tian , Zhaoyang Liu

This paper investigates a dividend optimization problem with a positive creeping-associated terminal value at ruin for spectrally negative Levy processes. We consider an insurance company whose surplus process evolves according to a…

概率论 · 数学 2023-01-10 Chongrui Zhu

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…

数理金融 · 定量金融 2017-05-24 Zailei Cheng

We consider de Finetti's stochastic control problem when the (controlled) process is allowed to spend time under the critical level. More precisely, we consider a generalized version of this control problem in a spectrally negative L\'evy…

概率论 · 数学 2019-06-13 Jean-François Renaud

The recent papers Gajek-Kucinsky(2017) and Avram-Goreac-Li-Wu(2020) investigated the control problem of optimizing dividends when limiting capital injections stopped upon bankruptcy. The first paper works under the spectrally negative…

最优化与控制 · 数学 2021-02-23 Florin Avram , Dan Goreac , Rim Adenane , Ulyses Jr Solon

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)…

最优化与控制 · 数学 2025-08-12 Tim J. Boonen , Engel John C. Dela Vega , Bin Zou