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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…

数理金融 · 定量金融 2024-06-25 J. Cerda-Hernandez , A. Sikov , A. Ramos

In this paper, we study the optimal investment problem of an insurer whose surplus process follows the diffusion approximation of the classical Cramer-Lundberg model. Investment in the foreign market is allowed, and therefore, the foreign…

投资组合管理 · 定量金融 2020-06-05 Qianqian Zhou , Junyi Guo

In this work we investigate the optimal proportional reinsurance-investment strategy of an insurance company which wishes to maximize the expected exponential utility of its terminal wealth in a finite time horizon. Our goal is to extend…

风险管理 · 定量金融 2019-04-04 Matteo Brachetta , Claudia Ceci

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…

数理金融 · 定量金融 2019-04-12 Matteo Brachetta , Claudia Ceci

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…

数理金融 · 定量金融 2014-07-01 Xiaoxiao Zheng , Xin Zhang

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…

计算金融 · 定量金融 2017-05-08 Zbigniew Palmowski , Sebastian Baran

This study employs expected certainty equivalents to explore the reinsurance and investment issue pertaining to an insurer that aims to maximize the expected utility while being subject to random risk aversion. The insurer's surplus process…

最优化与控制 · 数学 2025-01-03 Jian-hao Kang , Zhun Gou , Nan-jing Huang

We consider a time-consistent mean-variance portfolio selection problem of an insurer and allow for the incorporation of basis (mortality) risk. The optimal solution is identified with a Nash subgame perfect equilibrium. We characterize an…

投资组合管理 · 定量金融 2019-08-16 Frank Bosserhoff , Mitja Stadje

This paper considers consumption and portfolio optimization problems with recursive preferences in both infinite and finite time regions. Specially, the financial market consists of a risk-free asset and a risky asset that follows a general…

最优化与控制 · 数学 2024-12-30 Jian-hao Kang , Zhun Gou , Nan-jing Huang

We study an infinite-horizon optimal investment, consumption and insurance problem for an economic agent who consumes a perishable and a durable good. The agent trades in a risk-free asset, a risky asset, and a durable good whose price…

综合经济学 · 经济学 2025-12-09 Aleksandar Arandjelović , Ryle S. Perera , Pavel V. Shevchenko , Tak Kuen Siu , Jin Sun

In this paper, we consider the robust optimal reinsurance investment problem of the insurer under the $\alpha$-maxmin mean-variance criterion in the defaultable market. The financial market consists of risk-free bonds, a stock and a…

最优化与控制 · 数学 2021-12-09 Min Zhang , Yong He

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…

数理金融 · 定量金融 2022-10-20 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

This paper investigates a robust optimal consumption, investment, and reinsurance problem for an insurer with Epstein-Zin recursive preferences operating under model uncertainty. The insurer's surplus follows the diffusion approximation of…

最优化与控制 · 数学 2025-11-06 Elizabeth Dadzie , Wilfried Kuissi-Kamdem , Marcel Ndengo

This article studies a portfolio optimization problem, where the market consisting of several stocks is modeled by a multi-dimensional jump-diffusion process with age-dependent semi-Markov modulated coefficients. We study risk sensitive…

投资组合管理 · 定量金融 2019-10-21 Milan Kumar Das , Anindya Goswami , Nimit Rana

In this article, we study optimal investment and consumption in an incomplete stochastic factor model for a power utility investor on the infinite horizon. When the state space of the stochastic factor is finite, we give a complete…

数理金融 · 定量金融 2025-09-12 Florian Gutekunst , Martin Herdegen , David Hobson

We study investment and insurance demand decisions for an agent in a theoretical continuous-time expected utility maximization model that combines risky assets with an (exogenous) insurable background risk. This risk takes the form of a…

数理金融 · 定量金融 2023-03-09 Hugo E. Ramirez , Rafael Serrano

We study a continuous-time portfolio choice problem for an investor whose state-dependent preferences are determined by an exogenous factor that evolves as an It\^o diffusion process. Since risk attitudes at the end of the investment…

数理金融 · 定量金融 2025-12-25 Luca De Gennaro Aquino , Sascha Desmettre , Yevhen Havrylenko , Mogens Steffensen

We consider an optimal investment and consumption problem for a Black-Scholes financial market with stochastic coefficients driven by a diffusion process. We assume that an agent makes consumption and investment decisions based on CRRA…

投资组合管理 · 定量金融 2011-12-12 Berdjane Belkacem , Serguei Pergamenchtchikov

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…

投资组合管理 · 定量金融 2021-06-29 Katia Colaneri , Alessandra Cretarola , Benedetta Salterini

This paper explores the optimal investment problem of a renewal risk model with generalized Erlang distributed interarrival times. The phases of the Erlang interarrival time is assumed to be observable. The price of the risky asset is…

最优化与控制 · 数学 2025-06-04 Linlin Tian , Yixuan Tian , Bohan Li , Guoqing Li
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