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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

We consider an optimal dividend problem with transaction costs where the surplus is modelled by a spectrally negative L\'evy process in an Omega model. n this model, the surplus is allowed to spend time below the critical ruin level, but is…

最优化与控制 · 数学 2025-09-01 Dante Mata

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

In this paper, we consider the mixed ratcheting-periodic dividend strategies for spectrally negative L\'{e}vy risk model, in which dividend payments can both be made continuously without falling and discretely at the jump times of an…

概率论 · 数学 2021-12-03 Fuyun Sun , Zhanjie Song

We study a stochastic control problem where the underlying process follows a spectrally negative L\'{e}vy process. A controller can continuously increase the process but only decrease it at independent Poisson arrival times. We show the…

最优化与控制 · 数学 2025-05-30 Kazutoshi Yamazaki , Qingyuan Zhang

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…

投资组合管理 · 定量金融 2021-06-08 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

This paper considers an optimal control of a big financial company with debt liability under bankrupt probability constraints. The company, which faces constant liability payments and has choices to choose various production/business…

风险管理 · 定量金融 2010-08-11 Zongxia Liang , Bin Sun

This paper considers optimal control problem of a large insurance company under a fixed insolvency probability. The company controls proportional reinsurance rate, dividend pay-outs and investing process to maximize the expected present…

风险管理 · 定量金融 2010-06-01 Zongxia Liang , Jianping Huang

We consider a diffusion risk model where dividends are paid at rate $U(t) \in [0, u_0]$. We are interested in maximising the dividend payments under a drawdown constraint, that is, we penalise a drawdown size larger than a level $d > 0$. We…

最优化与控制 · 数学 2025-11-06 Kira Dudziak , Hanspeter Schmidli

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…

概率论 · 数学 2020-12-22 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

The core of the research is to provide the explicit expression for the expected net present values (NPVs) of double barrier strategies for regular diffusions on the real line without solving differential equations. Under the so-called…

风险管理 · 定量金融 2022-12-27 Chongrui Zhu

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…

概率论 · 数学 2019-04-02 Tiziano De Angelis

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…

最优化与控制 · 数学 2025-12-18 Lingjia Zeng , Manman Li

We consider an optimal control problem of a property insurance company with proportional reinsurance strategy. The insurance business brings in catastrophe risk, such as earthquake and flood. The catastrophe risk could be partly reduced by…

风险管理 · 定量金融 2010-09-08 Zongxia Liang , Lin He , Jiaoling Wu

We develop a maximum penalized quasi-likelihood estimator for estimating in a nonparametric way the diffusion function of a diffusion process, as an alternative to more traditional kernel-based estimators. After developing a numerical…

统计金融 · 定量金融 2011-01-12 Jeff Hamrick , Yifei Huang , Constantinos Kardaras , Murad Taqqu

In this paper, we study de Finetti's optimal dividend problem with capital injection under the assumption that the dividend strategies are absolutely continuous. In many previous studies, the process before being controlled was assumed to…

概率论 · 数学 2022-11-03 Kei Noba

This paper studies an optimal dividend problem for a company that aims to maximize the mean-variance (MV) objective of the accumulated discounted dividend payments up to its ruin time. The MV objective involves an integral form over a…

最优化与控制 · 数学 2025-08-19 Jingyi Cao , Dongchen Li , Virginia R. Young , Bin Zou

We derive a new equation for the optimal investment boundary of a general irreversible investment problem under exponential L\'evy uncertainty. The problem is set as an infinite time-horizon, two-dimensional degenerate singular stochastic…

投资组合管理 · 定量金融 2014-11-11 Giorgio Ferrari , Paavo Salminen

In this paper we consider two problems on optimal implementation delay of taxation with trade-off for spectrally negative L\'{e}vy insurance risk processes. In the first case, we assume that an insurance company starts to pay tax when its…

综合金融 · 定量金融 2019-10-21 Wenyuan Wang , Xueyuan Wu , Cheng Chi

We investigate a value-maximizing problem incorporating a human behavior pattern: present-biased-ness, for a firm which navigates strategic decisions encompassing earning retention/payout and capital injection policies, within the framework…

最优化与控制 · 数学 2024-01-30 Kaixin Yan , Wenyuan Wang , Jinxia Zhu