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This paper studies de Finetti's optimal dividend problem with capital injection. We confirm the optimality of a double barrier strategy when the underlying risk model follows a L\'evy process that may have positive and negative jumps. The…

概率论 · 数学 2019-09-17 Kei Noba

The expected present value of dividends is one of the classical stability criteria in actuarial risk theory. In this context, numerous papers considered threshold (refractive) and barrier (reflective) dividend strategies. These were shown…

最优化与控制 · 数学 2020-09-10 Benjamin Avanzi , José-Luis Pérez , Bernard Wong , Kazutoshi Yamazaki

This paper considers an insurer with two collaborating business lines that faces three critical decisions: (1) dividend payout, (2) reinsurance coverage, and (3) capital injection between the lines, in the presence of model uncertainty. The…

最优化与控制 · 数学 2026-03-27 Tim J. Boonen , Engel John C. Dela Vega , Len Patrick Dominic M. Garces

This paper develops a novel analytically tractable Neumann series of Bessel functions representation for pricing (and hedging) European-style double barrier knock-out options, which can be applied to the whole class of one-dimensional…

计算金融 · 定量金融 2017-12-25 Igor V. Kravchenko , Vladislav V. Kravchenko , Sergii M. Torba , José Carlos Dias

We consider the multi-refraction strategies in two equivalent versions of the optimal dividend problem in the dual (spectrally positive L\'evy) model. The first problem is a variant of the bail-out case where both dividend payments and…

概率论 · 数学 2018-03-19 Irmina Czarna , José Luis Pérez , Kazutoshi Yamazaki

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…

风险管理 · 定量金融 2019-01-23 Julia Eisenberg , Paul Krühner

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)…

最优化与控制 · 数学 2025-08-12 Tim J. Boonen , Engel John C. Dela Vega , Bin Zou

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…

最优化与控制 · 数学 2012-03-26 Lihua Bai , Jostein Paulsen

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 the optimal dividend problem in the dual model where dividend payments can only be made at the jump times of an independent Poisson process. In this context, Avanzi et al. [5] solved the case with i.i.d. hyperexponential jumps;…

概率论 · 数学 2017-08-15 José-Luis Pérez , Kazutoshi Yamazaki

In this paper, we study the dividend strategies for a shareholder with non-constant discount rate in a diffusion risk model. We assume that the dividends can only be paid at a bounded rate and restrict ourselves to the Markov strategies.…

投资组合管理 · 定量金融 2013-11-06 Qian Zhao , Jiaqin Wei , Rongming Wang

The optimization criterion for dividends from a risky business is most often formalized in terms of the expected present value of future dividends. That criterion disregards a potential, explicit demand for stability of dividends. In…

最优化与控制 · 数学 2023-06-22 Benjamin Avanzi , Debbie Kusch Falden , Mogens Steffensen

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…

概率论 · 数学 2017-03-08 Nicole Bäuerle , Anna Jaśkiewicz

This paper studies a general L\'evy process model of the bail-out optimal dividend problem with an exponential time horizon, and further extends it to the regime-switching model. We first show the optimality of a double barrier strategy in…

概率论 · 数学 2024-10-28 Dante Mata López , Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki

We consider the optimal dividend problem for the insurance risk process in a general Levy process setting. The objective is to find a strategy which maximizes the expected total discounted dividends until the time of ruin. We give…

概率论 · 数学 2011-01-04 Kam Chuen Yuen , Chuancun Yin

Neural posterior estimation (NPE), a simulation-based computational approach for Bayesian inference, has shown great success in approximating complex posterior distributions. Existing NPE methods typically rely on normalizing flows, which…

机器学习 · 统计学 2025-03-14 Tianyu Chen , Vansh Bansal , James G. Scott

This paper considers an insurer with two collaborating business lines that must make three critical decisions: (1) dividend payout, (2) a combination of proportional and excess-of-loss reinsurance coverage, and (3) capital injection between…

最优化与控制 · 数学 2025-11-17 Tim J. Boonen , Engel John C. Dela Vega

Consider the optimal dividend problem for an insurance company whose uncontrolled surplus precess evolves as a spectrally negative Levy process. We assume that dividends are paid to the shareholders according to admissible strategies whose…

证券定价 · 定量金融 2014-02-26 Ying Shen , Chuancun Yin , Kam Chuen Yuen

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…

概率论 · 数学 2023-06-22 Erhan Bayraktar , Andreas Kyprianou , Kazutoshi Yamazaki

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
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