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We study the optimal excess-of-loss reinsurance problem when both the intensity of the claims arrival process and the claim size distribution are influenced by an exogenous stochastic factor. We assume that the insurer's surplus is governed…

Mathematical Finance · Quantitative Finance 2019-04-12 Matteo Brachetta , Claudia Ceci

In this article we consider the surplus process of an insurance company within the Cramer-Lundberg framework. We study the optimal reinsurance strategy and dividend distribution of an insurance company under proportional reinsurance, in…

Optimization and Control · Mathematics 2026-05-22 Zakaria Aljaberi , Asma Khedher , Mohamed Mnif

We study optimal proportional reinsurance and investment strategies for an insurance company which experiences both ordinary and catastrophic claims and wishes to maximize the expected exponential utility of its terminal wealth. We propose…

Portfolio Management · Quantitative Finance 2021-05-18 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

We study the optimal investment and proportional reinsurance problem of an insurance company, whose investment preferences are described via a forward dynamic utility of exponential type in a stochastic factor model allowing for a possible…

Mathematical Finance · Quantitative Finance 2022-10-20 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

In this paper, we consider the problem of optimal investment by an insurer. The insurer invests in a market consisting of a bank account and $m$ risky assets. The mean returns and volatilities of the risky assets depend nonlinearly on…

Portfolio Management · Quantitative Finance 2019-03-22 Hiroaki Hata , Shuenn-Jyi Sheu , Li-Hsien Sun

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 investigate the optimal reinsurance problem under the criterion of maximizing the expected utility of terminal wealth when the insurance company has restricted information on the loss process. We propose a risk model with claim arrival…

Mathematical Finance · Quantitative Finance 2020-05-15 Matteo Brachetta , Claudia Ceci

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

This study investigates an optimal investment problem for an insurance company operating under the Cramer-Lundberg risk model, where investments are made in both a risky asset and a risk-free asset. In contrast to other literature that…

Mathematical Finance · Quantitative Finance 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

In this paper, we assume an insure is allowed to purchase proportional reinsurance and can invest his or her wealth into the financial market where a savings account, stocks and bonds are available. Different from classical optimal…

Mathematical Finance · Quantitative Finance 2014-07-01 Xiaoxiao Zheng , Xin Zhang

In this paper we study the problem of optimally paying out dividends from an insurance portfolio, when the criterion is to maximize the expected discounted dividends over the lifetime of the company and the portfolio contains claims due to…

Portfolio Management · Quantitative Finance 2023-11-13 Hansjoerg Albrecher , Pablo Azcue , Nora Muler

This paper is concerned with an optimal reinsurance and investment problem for an insurance firm under the criterion of mean-variance. The driving Brownian motion and the rate in return of the risky asset price dynamic equation cannot be…

Optimization and Control · Mathematics 2020-06-04 Shihao Zhu , Jingtao Shi

We investigate the optimal investment-reinsurance problem for insurance company with partial information on the market price of the risk. Through the use of filtering techniques we convert the original optimization problem involving…

Portfolio Management · Quantitative Finance 2024-08-15 Claudia Ceci , Katia Colaneri

In this paper we study the optimal investment and reinsurance problem of an insurance company whose investment preferences are described via a forward dynamic exponential utility in a regime-switching market model. Financial and actuarial…

Portfolio Management · Quantitative Finance 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

Complementing existing results on minimal ruin probabilities, we minimize expected discounted penalty functions (or Gerber-Shiu functions) in a Cramer-Lundberg model by choosing optimal reinsurance. Reinsurance strategies are modelled as…

Optimization and Control · Mathematics 2018-09-10 Michael Preischl , Stefan Thonhauser

We consider an insurance company whose surplus is represented by the classical Cramer-Lundberg process. The company can invest its surplus in a risk free asset and in a risky asset, governed by the Black-Scholes equation. There is a…

Portfolio Management · Quantitative Finance 2011-12-20 Tatiana Belkina , Christian Hipp , Shangzhen Luo , Michael Taksar

We study optimal reinsurance in the framework of stochastic game theory, in which there is an insurer and two reinsurers. A Stackelberg model is established to analyze the non-cooperative relationship between the insurer and reinsurers,…

Mathematical Finance · Quantitative Finance 2023-05-02 Liyuan Lin , Fangda Liu , Jingzhen Liu abd Luyang Yu

We study the problem of optimal portfolio selection under stochastic volatility within a continuous time reinforcement learning framework with portfolio constraints. Exploration is modeled through entropy-regularized relaxed controls, where…

Mathematical Finance · Quantitative Finance 2026-04-27 Thai Nguyen , Pertiny Nkuize

This paper investigates a Stackelberg game between an insurer and a reinsurer under the $\alpha$-maxmin mean-variance criterion. The insurer can purchase per-loss reinsurance from the reinsurer. With the insurer's feedback reinsurance…

Portfolio Management · Quantitative Finance 2023-01-02 Guohui Guan , Zongxia Liang , Yilun Song

We consider the problem of maximizing the discounted utility of dividend payments of an insurance company whose reserves are modeled as a classical Cram\'er-Lundberg risk process. We investigate this optimization problem under the…

Computational Finance · Quantitative Finance 2017-05-08 Zbigniew Palmowski , Sebastian Baran
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