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We consider a discrete-time dividend payout problem with risk sensitive shareholders. It is assumed that they are equipped with a risk aversion coefficient and construct their discounted payoff with the help of the exponential premium…

Probability · Mathematics 2017-03-08 Nicole Bäuerle , Anna Jaśkiewicz

We consider a two-dimensional optimal dividend problem in the context of two branches of an insurance company with compound Poisson surplus processes dividing claims and premia in some specified proportions. We solve the stochastic control…

Optimization and Control · Mathematics 2018-04-12 Pablo Azcue , Nora Muler , Zbigniew Palmowski

In the present paper, we investigate the optimal capital injection behaviour of an insurance company if the interest rate is allowed to become negative. The surplus process of the considered insurance entity is assumed to follow a Brownian…

Mathematical Finance · Quantitative Finance 2016-12-21 Julia Eisenberg , Paul Krühner

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

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 study considers an optimal reinsurance, investment, and dividend strategy control problem for insurance companies in a regulated Markov regime-switching environment, intending to maximize long-run average reward. Unlike existing single…

Optimization and Control · Mathematics 2025-12-18 Lingjia Zeng , Manman Li

Consider the optimal dividend problem for an insurance company whose uncontrolled surplus precess evolves as a spectrally negative Levy process. We assume that dividends are paid to the shareholders according to admissible strategies whose…

Pricing of Securities · Quantitative Finance 2014-02-26 Ying Shen , Chuancun Yin , Kam Chuen Yuen

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

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 insurance company whose surplus is represented by the classical Cramer-Lundberg process. The company can invest its surplus in a risk free asset and in a risky asset, governed by the Black-Scholes equation. There is a…

Portfolio Management · Quantitative Finance 2011-12-20 Tatiana Belkina , Christian Hipp , Shangzhen Luo , Michael Taksar

We consider an insurance entity endowed with an initial capital and a surplus process modelled as a Brownian motion with drift. It is assumed that the company seeks to maximise the cumulated value of expected discounted dividends, which are…

Mathematical Finance · Quantitative Finance 2016-03-25 Julia Eisenberg , Paul Krühner

We consider the optimal dividend problem for the insurance risk process in a general Levy process setting. The objective is to find a strategy which maximizes the expected total discounted dividends until the time of ruin. We give…

Probability · Mathematics 2011-01-04 Kam Chuen Yuen , Chuancun Yin

This paper studies a general L\'evy process model of the bail-out optimal dividend problem with an exponential time horizon, and further extends it to the regime-switching model. We first show the optimality of a double barrier strategy in…

Probability · Mathematics 2024-10-28 Dante Mata López , Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki

This paper concerns an optimal dividend distribution problem for an insurance company whose risk process evolves as a spectrally negative L\'{e}vy process (in the absence of dividend payments). The management of the company is assumed to…

Probability · Mathematics 2015-06-22 F. Avram , Z. Palmowski , M. R. Pistorius

We analyze the optimal dividend payment problem in the dual model under constant transaction costs. We show, for a general spectrally positive L\'{e}vy process, an optimal strategy is given by a $(c_1,c_2)$-policy that brings the surplus…

Probability · Mathematics 2013-11-13 Erhan Bayraktar , Andreas Kyprianou , Kazutoshi Yamazaki

We consider a singular stochastic control problem, which is called the Monotone Follower Stochastic Control Problem and give sufficient conditions for the existence and uniqueness of a local-time type optimal control. To establish this…

Optimization and Control · Mathematics 2007-05-23 Erhan Bayraktar , Masahiko Egami

In this paper, we examine a modified version of de Finetti's optimal dividend problem, incorporating fixed transaction costs and altering the surplus process by introducing two-valued drift and two-valued volatility coefficients. This…

Mathematical Finance · Quantitative Finance 2025-12-05 Wenyuan Wang , Zuo Quan Xu , Kazutoshi Yamazaki , Kaixin Yan , Xiaowen Zhou

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…

Portfolio Management · Quantitative Finance 2011-10-19 Irmina Czarna , Zbigniew Palmowski

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 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…

Probability · Mathematics 2023-01-10 Chongrui Zhu
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