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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 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

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

We consider the optimal dividend problem in the so-called degenerate bivariate risk model under the assumption that the surplus of one branch may become negative. More specific, we solve the stochastic control problem of maximizing…

Probability · Mathematics 2022-08-02 Philipp Lukas Strietzel , Henriette Elisabeth Heinrich

In this paper we address the problem of optimal dividend payout strategies from a surplus process governed by Brownian motion with drift under a drawdown constraint, i.e. the dividend rate can never decrease below a given fraction $a$ of…

Optimization and Control · Mathematics 2022-06-27 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

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

The present paper addresses the issue of the stochastic control of the optimal dynamic reinsurance policy and dynamic dividend strategy, which are state-dependent, for an insurance company that operates under multiple insurance lines of…

Optimization and Control · Mathematics 2020-02-11 Khaled Masoumifard , Mohammad Zokaei

We study the problem of optimal dividend payout from a surplus process governed by Brownian motion with drift under the additional constraint of ratcheting, i.e. the dividend rate can never decrease. We solve the resulting two-dimensional…

Probability · Mathematics 2020-12-22 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

We consider in this paper the optimal dividend problem for an insurance company whose uncontrolled reserve process evolves as a classical Cram\'{e}r--Lundberg process. The firm has the option of investing part of the surplus in a…

Portfolio Management · Quantitative Finance 2010-10-26 Pablo Azcue , Nora Muler

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 study an optimal dividend problem under a bankruptcy constraint. Firms face a trade-off between potential bankruptcy and extraction of profits. In contrast to previous works, general cash flow drifts, including Ornstein--Uhlenbeck and…

Optimization and Control · Mathematics 2018-03-05 Max Reppen , Jean-Charles Rochet , H. Mete Soner

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

This paper considers an insurance company that faces two key constraints: a ratcheting dividend constraint and an irreversible reinsurance constraint. The company allocates part of its reserve to pay dividends to its shareholders while…

Optimization and Control · Mathematics 2025-12-22 Tim J. Boonen , Engel John C. Dela Vega

This paper studies a dynamic optimal reinsurance and dividend-payout problem for an insurance company in a finite time horizon. The goal of the company is to maximize the expected cumulative discounted dividend payouts until bankruptcy or…

Mathematical Finance · Quantitative Finance 2022-06-28 Chonghu Guan , Zuo Quan Xu , Rui Zhou

Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

Risk Management · Quantitative Finance 2010-12-22 Zongxia Liang , Jicheng Yao

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

This paper concerns the dual risk model, dual to the risk model for insurance applications, where premiums are surplus-dependent. In such a model premiums are regarded as costs, while claims refer to profits. We calculate the mean of the…

Pricing of Securities · Quantitative Finance 2016-05-17 Ewa Marciniak , Zbigniew Palmowski

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

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

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
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