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Related papers: Stable Dividends under Linear-Quadratic Optimizati…

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We consider a diffusive model for optimally distributing dividends, while allowing for Knightian model ambiguity concerning the drift of the surplus process. We show that the value function is the unique solution of a non-linear…

Optimization and Control · Mathematics 2021-09-21 Prakash Chakraborty , Asaf Cohen , Virginia R. Young

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 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

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

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…

Risk Management · Quantitative Finance 2019-01-23 Julia Eisenberg , Paul Krühner

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

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

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

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

Avanzi et al. (2016) recently studied an optimal dividend problem where dividends are paid both periodically and continuously with different transaction costs. In the Brownian model with Poissonian periodic dividend payment opportunities,…

Optimization and Control · Mathematics 2018-01-16 José-Luis Pérez , Kazutoshi Yamazaki

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 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

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

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 revisit the dividend payment problem in the dual model of Avanzi et al. ([2], [1], and [3]). Using the fluctuation theory of spectrally positive L\'{e}vy processes, we give a short exposition in which we show the optimality of barrier…

Probability · Mathematics 2023-06-22 Erhan Bayraktar , Andreas Kyprianou , Kazutoshi Yamazaki

In this paper, we consider the problem of maximizing the expected discounted utility of dividend payments for an insurance company that controls risk exposure by purchasing proportional reinsurance. We assume the preference of the insurer…

Portfolio Management · Quantitative Finance 2017-05-08 Xiaoqing Liang , Zbigniew Palmowski

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

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

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