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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…

统计理论 · 数学 2022-09-14 Yasutaka Shimizu , Hiroshi Shiraishi

We study a De Finetti's optimal dividend and capital injection problem under a Markov additive model. The surplus process without dividend and capital injection is assumed to follow a spectrally positive Markov additive process (MAP).…

最优化与控制 · 数学 2025-01-28 Lijun Bo , Wenyuan Wang , Kaixin Yan

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…

数理金融 · 定量金融 2021-05-27 Zhuo Jin , Zuo Quan Xu , Bin Zou

In this paper we propose a refracted skew Brownian motion as a risk model with endogenous regime switching, which generalizes the refracted diffusion risk process introduced by Gerber and Shiu. We consider an optimal dividend problem for…

概率论 · 数学 2026-01-29 Zhongqin Gao , Yan Lv , Xiaowen Zhou

We consider the classical optimal dividend control problem which was proposed by de Finetti [Trans. XVth Internat. Congress Actuaries 2 (1957) 433--443]. Recently Avram, Palmowski and Pistorius [Ann. Appl. Probab. 17 (2007) 156--180]…

概率论 · 数学 2008-11-13 R. L. Loeffen

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…

综合金融 · 定量金融 2011-04-20 Zhengjun Jiang , Martijn Pistorius

We study optimal liquidation in the presence of linear temporary and transient price impact along with taking into account a general price predicting finite-variation signal. We formulate this problem as minimization of a cost-risk…

交易与市场微观结构 · 定量金融 2022-01-17 Eyal Neuman , Moritz Voß

We consider an optimal liquidation problem with infinite horizon in the Almgren-Chriss framework, where the unaffected asset price follows a Levy process. The temporary price impact is described by a general function which satisfies some…

交易与市场微观结构 · 定量金融 2020-09-16 Arne Lokka , Junwei Xu

This article treats long term average impulse control problems with running costs in the case that the underlying process is a L\'evy process. Under quite general conditions we characterize the value of the control problem as the value of a…

概率论 · 数学 2020-05-15 Sören Christensen , Tobias Sohr

We study a discounted singular stochastic control problem driven by a general L\'evy process, where the objective is to minimize a cost functional composed of a running cost and a control cost that depends on the current state of the…

最优化与控制 · 数学 2026-05-18 Mordecki Ernesto , Muler Nora , Oliú Facundo

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…

最优化与控制 · 数学 2025-12-22 Tim J. Boonen , Engel John C. Dela Vega

We consider an inventory system in which inventory level fluctuates as a Brownian motion in the absence of control. The inventory continuously accumulates cost at a rate that is a general convex function of the inventory level, which can be…

最优化与控制 · 数学 2014-01-21 Jim Dai , Dacheng Yao

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 study a single risky financial asset model subject to price impact and transaction cost over an finite time horizon. An investor needs to execute a long position in the asset affecting the price of the asset and possibly incurring in…

交易与市场微观结构 · 定量金融 2015-03-19 Mauricio Junca

We revisit a stochastic control problem of optimally modifying the underlying spectrally negative Levy process. A strategy must be absolutely continuous with respect to the Lebesgue measure, and the objective is to minimize the total costs…

最优化与控制 · 数学 2016-05-04 Daniel Hernandez-Hernandez , Jose-Luis Perez , Kazutoshi Yamazaki

This paper studies an optimal investment and risk control problem for an insurer with default contagion and regime-switching. The insurer in our model allocates his/her wealth across multi-name defaultable stocks and a riskless bond under…

数理金融 · 定量金融 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

This paper establishes a verification theorem for impulse control problems involving conditional McKean-Vlasov jump diffusions. We obtain a Markovian system by combining the state equation of the problem with the stochastic Fokker-Planck…

最优化与控制 · 数学 2023-01-05 Nacira Agram , Giulia Pucci , Bernt Oksendal

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…

数理金融 · 定量金融 2019-03-25 Bahman Angoshtari , Erhan Bayraktar , Virginia R. Young

Mathematically, the execution of an American-style financial derivative is commonly reduced to solving an optimal stopping problem. Breaking the general assumption that the knowledge of the holder is restricted to the price history of the…

计算金融 · 定量金融 2020-08-25 Bernardo D'Auria , Eduardo García-Portugués , Abel Guada

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…

概率论 · 数学 2022-08-02 Philipp Lukas Strietzel , Henriette Elisabeth Heinrich