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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

This paper investigates Pareto optimal (PO, for short) insurance contracts in a behavioral finance framework, in which the insured evaluates contracts by the rank-dependent utility (RDU) theory and the insurer by the expected value premium…

Mathematical Finance · Quantitative Finance 2021-08-17 Zuo Quan Xu

We consider an investor who wants to select her/his optimal consumption, investment and insurance policies. Motivated by new insurance products, we allow not only the financial marke but also the insurable loss to depend on the regime of…

Risk Management · Quantitative Finance 2014-06-25 Bin Zou , Abel Cadenillas

In this paper, we consider the problem of optimal reinsurance design, when the risk is measured by a distortion risk measure and the premium is given by a distortion risk premium. First, we show how the optimal reinsurance design for the…

Risk Management · Quantitative Finance 2014-06-12 Hirbod Assa

Major events like natural catastrophes or the COVID-19 crisis have impact both on the financial market and on claim arrival intensities and claim sizes of insurers. Thus, when optimal investment and reinsurance strategies have to be…

Portfolio Management · Quantitative Finance 2025-10-16 Nicole Bäuerle , Gregor Leimcke

In this paper, we investigate the robust optimal reinsurance,investment,and internal surplus distribution (i.e., consumption) problem for an insurer with Epstein-Zin recursive preferences in an incomplete market. It is assumed that the…

Optimization and Control · Mathematics 2026-05-19 Junyi Guo , Jianxuan Li , Qianqian Zhou

We investigate the probabilistic feasibility of randomized solutions to two distinct classes of uncertain multi-agent optimization programs. We first assume that only the constraints of the program are affected by uncertainty, while the…

Optimization and Control · Mathematics 2020-09-29 George Pantazis , Filiberto Fele , Kostas Margellos

This paper analyzes optimal insurance design when the insurer internalizes the effect of coverage on third-party service prices. A monopolistic insurer contracts with risk-averse agents who have sequential two-dimensional private…

Theoretical Economics · Economics 2025-10-03 Andrea Di Giovan Paolo , Jose Higueras

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

The increasing penetration of renewable energy poses significant challenges to power grid reliability. There have been increasing interests in utilizing financial tools, such as insurance, to help end-users hedge the potential risk of lost…

Systems and Control · Electrical Eng. & Systems 2022-09-22 Dongwei Zhao , Hao Wang , Jianwei Huang , Xiaojun Lin

This paper investigates a Pareto optimal insurance problem, where the insured maximizes her rank-dependent utility preference and the insurer is risk neutral and employs the mean-variance premium principle. To eliminate potential moral…

Risk Management · Quantitative Finance 2022-08-03 Zuo Quan Xu

We consider the optimal risk transfer from an insurance company to a reinsurer. The problem formulation considered in this paper is closely connected to the optimal portfolio problem in finance, with some crucial distinctions. In…

Optimization and Control · Mathematics 2023-06-23 Benjamin Avanzi , Hayden Lau , Mogens Steffensen

We consider a general framework of optimal mechanism design under adverse selection and ambiguity about the type distribution of agents. We prove the existence of optimal mechanisms under minimal assumptions on the contract space and prove…

Optimization and Control · Mathematics 2021-03-18 Julio Backhoff-Veraguas , Patrick Beissner , Ulrich Horst

Based on a point of view that solvency and security are first, this paper considers regular-singular stochastic optimal control problem of a large insurance company facing positive transaction cost asked by reinsurer under solvency…

Risk Management · Quantitative Finance 2010-12-22 Zongxia Liang , Jicheng Yao

What type of delegation contract should be offered when facing a risk of the magnitude of the pandemic we are currently experiencing and how does the likelihood of an exogenous early termination of the relationship modify the terms of a…

Optimization and Control · Mathematics 2021-02-02 Jessica Martin , Stéphane Villeneuve

In this paper we consider an optimal investment and reinsurance problem with partially unknown model parameters which are allowed to be learned. The model includes multiple business lines and dependence between them. The aim is to maximize…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Gregor Leimcke

In this paper, we study the robust optimal investment and risk control problem for an insurer who owns the insider information about the financial market and the insurance market under model uncertainty. Both financial risky asset process…

Numerical Analysis · Mathematics 2022-07-15 Chao Yu , Yuhan Cheng , Yilun Song

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…

Optimization and Control · Mathematics 2025-11-06 Elizabeth Dadzie , Wilfried Kuissi-Kamdem , Marcel Ndengo

A reinsurance contract should address the conflicting interests of the insurer and reinsurer. Most of existing optimal reinsurance contracts only considers the interests of one party. This article combines the proportional and stop-loss…

Methodology · Statistics 2017-01-24 Amir T. Payandeh-Najafabadi , Ali Panahi-Bazaz

In this paper, we study two optimisation settings for an insurance company, under the constraint that the terminal surplus at a deterministic and finite time $T$ follows a normal distribution with a given mean and a given variance. In both…

Mathematical Finance · Quantitative Finance 2022-06-13 Katia Colaneri , Julia Eisenberg , Benedetta Salterini