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This paper studies the risk-adjusted optimal timing to liquidate an option at the prevailing market price. In addition to maximizing the expected discounted return from option sale, we incorporate a path-dependent risk penalty based on…

数理金融 · 定量金融 2015-03-31 Tim Leung , Yoshihiro Shirai

De Finetti's optimal dividend problem has recently been extended to the case dividend payments can only be made at Poisson arrival times. This paper considers the version with bail-outs where the surplus must be nonnegative uniformly in…

概率论 · 数学 2018-01-03 Kei Noba , José-Luis Pérez , Kazutoshi Yamazaki , Kouji Yano

We study a simple singular control problem for a Brownian motion with constant drift and variance reflected at the origin. Exerting control pushes the process towards the origin and generates a concave increasing state-dependent yield which…

概率论 · 数学 2024-08-30 Adam Jonsson

In this paper, we study the optimal dividend problem under the continuous time diffusion model with the bounded dividend rate from the Reinforcement Learning (RL) perspective. Unlike the standard literature, our main focus will be on…

最优化与控制 · 数学 2026-03-30 Lihua Bai , Thejani Gamage , Jin Ma , Gaozhan Wang

In the setting of a L\'evy insurance risk process, we present some results regarding the Parisian ruin problem which concerns the occurrence of an excursion below zero of duration bigger than a given threshold $r$. First, we give the joint…

概率论 · 数学 2017-11-15 Ronne Loeffen , Zbigniew Palmowski , Budhi Surya

This paper investigates dividend optimization of an insurance corporation under a more realistic model which takes into consideration refinancing or capital injections. The model follows the compound Poisson framework with credit interest…

最优化与控制 · 数学 2012-09-19 Jinxia Zhu

This paper considers nonlinear regular-singular stochastic optimal control of large insurance company. The company controls the reinsurance rate and dividend payout process to maximize the expected present value of the dividend pay-outs…

风险管理 · 定量金融 2010-08-31 Zongxia Liang , Jicheng Yao

In this paper we address the problem of optimal dividend payout strategies from a surplus process governed by Brownian motion with drift under a drawdown constraint, i.e. the dividend rate can never decrease below a given fraction $a$ of…

最优化与控制 · 数学 2022-06-27 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

In this paper we study the optimal dividend problem for a company whose surplus process evolves as a spectrally positive Levy process. This model including the dual model of the classical risk model and the dual model with diffusion as…

投资组合管理 · 定量金融 2014-03-11 Chuancun Yin , Yuzhen Wen , Yongxia Zhao

We investigate a dividend maximization problem under stochastic interest rates with Ornstein-Uhlenbeck dynamics. This setup also takes negative rates into account. First a deterministic time is considered, where an explicit separating curve…

最优化与控制 · 数学 2021-08-03 Julia Eisenberg , Stefan Kremsner , Alexander Steinicke

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…

最优化与控制 · 数学 2023-11-07 Wenyuan Wang , Xiang Yu , Xiaowen Zhou

We consider the valuation problem of an (insurance) company under partial information. Therefore we use the concept of maximizing discounted future dividend payments. The firm value process is described by a diffusion model with constant…

数理金融 · 定量金融 2016-02-16 Gunther Leobacher , Michaela Szölgyenyi , Stefan Thonhauser

We consider the general class of spectrally positive L\'evy risk processes, which are appropriate for businesses with continuous expenses and lump sum gains whose timing and sizes are stochastic. Motivated by the fact that dividends cannot…

最优化与控制 · 数学 2020-09-10 Benjamin Avanzi , Hayden Lau , Bernard Wong

In this paper, we obtain analytical expression for the distribution of the occupation time in the red (below level $0$) up to an (independent) exponential horizon for spectrally negative L\'{e}vy risk processes and refracted spectrally…

风险管理 · 定量金融 2019-07-24 David Landriault , Bin Li , Mohamed Amine Lkabous

This paper is concerned with a long standing optimal dividend payout problem subject to the so-called ratcheting constraint, that is, the dividend payout rate shall be non-decreasing over time and is thus self-path-dependent. The surplus…

数理金融 · 定量金融 2024-07-08 Chonghu Guan , Zuo Quan Xu

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 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…

投资组合管理 · 定量金融 2016-04-26 Ewa Marciniak , Zbigniew Palmowski

The first motivation of our paper is to explore further the idea that, in risk control problems, it may be profitable to base decisions both on the position of the underlying process Xt and on its supremum Xt := sup 0$\le$s$\le$t Xs.…

最优化与控制 · 数学 2019-11-15 Florin Avram , Dan Goreac

This paper studies the optimal risk-averse timing to sell a risky asset. The investor's risk preference is described by the exponential, power, or log utility. Two stochastic models are considered for the asset price -- the geometric…

数理金融 · 定量金融 2016-10-27 Tim Leung , Zheng Wang

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