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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 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 investigate the problem of optimal dividend distribution for a company in the presence of regime shifts. We consider a company whose cumulative net revenues evolve as a Brownian motion with positive drift that is modulated by a finite…

General Finance · Quantitative Finance 2011-04-20 Zhengjun Jiang , Martijn Pistorius

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

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

In this paper, we consider the optimal dividend problem for a company. We describe the surplus process of the company by a diffusion model with regime switching. The aim of the company is to choose a dividend policy to maximize the expected…

Mathematical Finance · Quantitative Finance 2014-07-01 Xiaoxiao Zheng , Xin Zhang

In this paper we study the valuation problem of an insurance company by maximizing the expected discounted future dividend payments in a model with partial information that allows for a changing economic environment. The surplus process is…

Mathematical Finance · Quantitative Finance 2016-08-03 Michaela Szölgyenyi

We consider an optimal dividend payout problem for an insurance company whose surplus follows the classical Cram\'er-Lundberg model. The dividend rate is subject to a ratcheting constraint (i.e., it must be nondecreasing over time), and the…

Optimization and Control · Mathematics 2026-04-07 Chonghu Guan , Zuo Quan Xu

We study an optimal dividend problem for an insurer who simultaneously controls investment weights in a financial market, liability ratio in the insurance business, and dividend payout rate. The insurer seeks an optimal strategy to maximize…

Mathematical Finance · Quantitative Finance 2021-05-27 Zhuo Jin , Zuo Quan Xu , Bin Zou

We study the dual model with capital injection under the additional condition that the dividend strategy is absolutely continuous. We consider a refraction-reflection strategy that pays dividends at the maximal rate whenever the surplus is…

Optimization and Control · Mathematics 2016-08-24 José-Luis Pérez , Kazutoshi Yamazaki

We study a stochastic optimal control problem for jump-diffusion systems whose drift coefficient is piecewise Lipschitz continuous and exhibits threshold-induced discontinuities. Such dynamics naturally arise in applications with…

Optimization and Control · Mathematics 2026-05-08 Antoine-Marie Bogso , Edward Fuituh Kameh , Olivier Menoukeu-Pamen , Felix Shu

Motivated by recent developments in risk management based on the U.S. bankruptcy code, we revisit the De Finetti's optimal dividend problem by incorporating the reorganization process and regulator's intervention documented in Chapter 11…

Optimization and Control · Mathematics 2023-11-07 Wenyuan Wang , Xiang Yu , Xiaowen Zhou

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

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 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 studies De Finetti's optimal dividend problem with capital injection under spectrally positive Markov additive models. Based on dynamic programming principle, we first study an auxiliary singular control problem with a final…

Optimization and Control · Mathematics 2023-07-11 Wenyuan Wang , Kaixin Yan , Xiang Yu

In Bai and Paulsen (SIAM J. Control optim. 48, 2010) the optimal dividend problem under transaction costs was analyzed for a rather general class of diffusion processes. It was divided into several subclasses, and for the majority of…

Optimization and Control · Mathematics 2012-03-26 Lihua Bai , Jostein Paulsen

Consider two insurance companies (or two branches of the same company) that receive premiums at different rates and then split the amount they pay in fixed proportions for each claim (for simplicity we assume that they are equal). We model…

General Finance · Quantitative Finance 2011-02-14 Irmina Czarna , Zbigniew Palmowski

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 study the optimal dividend problem for a firm's manager who has partial information on the profitability of the firm. The problem is formulated as one of singular stochastic control with partial information on the drift of the underlying…

Probability · Mathematics 2019-04-02 Tiziano De Angelis