Optimal investment–reinsurance strategy for mean–variance insurers with square-root factor process

Y Shen, Y Zeng - Insurance: Mathematics and Economics, 2015 - Elsevier
This paper studies an optimal investment–reinsurance problem for an insurer with a surplus
process represented by the Cramér–Lundberg model. The insurer is assumed to be a mean …

Optimal reinsurance and investment with unobservable claim size and intensity

Z Liang, E Bayraktar - Insurance: Mathematics and Economics, 2014 - Elsevier
We consider the optimal reinsurance and investment problem in an unobservable Markov-
modulated compound Poisson risk model, where the intensity and jump size distribution are …

Optimal investment–reinsurance with delay for mean–variance insurers: A maximum principle approach

Y Shen, Y Zeng - Insurance: Mathematics and Economics, 2014 - Elsevier
This paper is concerned with an optimal investment and reinsurance problem with delay for
an insurer under the mean–variance criterion. A three-stage procedure is employed to solve …

Optimal investment and reinsurance strategies for insurers with generalized mean–variance premium principle and no-short selling

X Zhang, H Meng, Y Zeng - Insurance: Mathematics and Economics, 2016 - Elsevier
This paper analyzes the optimal investment and reinsurance strategies for insurers with a
generalized mean–variance premium principle. The surplus process of the insurer is …

Optimal reinsurance and investment problem for an insurer with counterparty risk

H Zhu, C Deng, S Yue, Y Deng - Insurance: Mathematics and Economics, 2015 - Elsevier
This paper analyzes the optimal proportional reinsurance and investment problem for an
insurer in a defaultable market. We assume that the reinsurance premium is calculated via …

A Stackelberg–Nash equilibrium with investment and reinsurance in mixed leadership game

Q Zhang, Z Liang, F Wang - Scandinavian Actuarial Journal, 2024 - Taylor & Francis
In this paper, we investigate the optimal reinsurance and investment problem from joint
interests of the insurer and the reinsurer in the framework of the mixed leadership game …

Optimal reinsurance and asset allocation under regime switching

BG Jang, KT Kim - Journal of Banking & Finance, 2015 - Elsevier
We investigate optimal reinsurance and asset allocation strategies for an insurer who is
concerned about changes in economic conditions. Numerical examples with carefully …

Stochastic differential investment and reinsurance games with nonlinear risk processes and VaR constraints

N Wang, N Zhang, Z Jin, L Qian - Insurance: Mathematics and Economics, 2021 - Elsevier
This paper investigates a class of non-zero-sum stochastic differential investment and
reinsurance games between two insurance companies. We allow both insurers to purchase …

Optimal reinsurance under the linear combination of risk measures in the presence of reinsurance loss limit

Q Xiong, Z Peng, S Nadarajah - Risks, 2023 - mdpi.com
Optimal reinsurance problems under the risk measures, such as Value-at-Risk (VaR) and
Tail-Value-at-Risk (TVaR), have been studied in recent literature. However, losses based on …

Stochastic control with inhomogeneous regime switching: Application to consumption and investment with unemployment and reemployment

C Tao, X Rong, H Zhao - Journal of Mathematical Economics, 2023 - Elsevier
This paper presents a stochastic control problem with an inhomogeneous regime switching
and applies it to a consumption and investment model. We prove that the inhomogeneous …