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Regulatory and contractual constraints on individual exposures are standard in insurance and reinsurance markets, but a poorly designed constraint can distort the economic incentives of risk-averse agents. In the unconstrained problem, the…

Theoretical Economics · Economics 2026-04-28 Christopher Blier-Wong , Jean-Gabriel Lauzier

This paper considers an optimal life insurance for a householder subject to mortality risk. The household receives a wage income continuously, which is terminated by unexpected (premature) loss of earning power or (planned and intended)…

Portfolio Management · Quantitative Finance 2011-05-03 Masahiko Egami , Hideki Iwaki

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

We investigate an optimal reinsurance problem for an insurance company facing a constant fixed cost when the reinsurance contract is signed. The insurer needs to optimally choose both the starting time of the reinsurance contract and the…

Mathematical Finance · Quantitative Finance 2021-01-14 Matteo Brachetta , Claudia Ceci

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

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

In this paper we consider reinsurance or risk sharing from a macroeconomic point of view. Our aim is to find socially optimal reinsurance treaties. In our setting we assume that there are $n$ insurance companies each bearing a certain risk…

Risk Management · Quantitative Finance 2021-07-21 Nicole Bäuerle , Alexander Glauner

We study the optimal investment-reinsurance problem in the context of equity-linked insurance products. Such products often have a capital guarantee, which can motivate insurers to purchase reinsurance. Since a reinsurance contract implies…

Risk Management · Quantitative Finance 2025-05-21 Yevhen Havrylenko , Maria Hinken , Rudi Zagst

The aim of this paper is to introduce an insurance model allowing reinsurance and dividend payment. Our model deals with several homogeneous contracts and takes into account the legislation regarding the provisions to be justified by the…

Pricing of Securities · Quantitative Finance 2008-12-10 D. Goreac

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 Stackelberg Equilibria (Bowley optima) in a monopolistic centralized sequential-move insurance market, with a profit-maximizing insurer who sets premia using a distortion premium principle, and a single policyholder who seeks to…

Risk Management · Quantitative Finance 2026-05-22 Maria Andraos , Mario Ghossoub , Bin Li , Benxuan Shi

In this paper, we study a stochastic optimal control problem with stochastic volatility. We prove the sufficient and necessary maximum principle for the proposed problem. Then we apply the results to solve an investment, consumption and…

Portfolio Management · Quantitative Finance 2018-08-15 Rodwell Kufakunesu , Calisto Guambe

We consider an insurance company modelling its surplus process by a Brownian motion with drift. Our target is to maximise the expected exponential utility of discounted dividend payments, given that the dividend rates are bounded by some…

Risk Management · Quantitative Finance 2019-01-23 Julia Eisenberg , Paul Krühner

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

Despite the success of demand response programs in retail electricity markets in reducing average consumption, the random responsiveness of consumers to price event makes their efficiency questionable to achieve the flexibility needed for…

Optimization and Control · Mathematics 2019-05-28 René Aïd , Dylan Possamaï , Nizar Touzi

This paper investigates two optimal insurance contracting problems under distributional uncertainty from the perspective of a potential policyholder, utilizing a Bregman-Wasserstein (BW) ball to characterize the ambiguity set of loss…

Risk Management · Quantitative Finance 2026-05-01 Wenjun Jiang , Qingqing Zhang , Yiying Zhang

We study a robust contract design problem with deferred inspection, in which a principal allocates a scarce resource to an agent, observes the agent's realized outcome ex post at negligible cost, and conditions transfers on this information…

Theoretical Economics · Economics 2026-01-12 Halil I. Bayrak , Martin Bichler

We use the randomization idea and proof techniques from optimal transport to study optimal reinsurance problems. We start by providing conditions for a class of problems that allow us to characterize the support of optimal treaties, and…

Optimization and Control · Mathematics 2024-11-04 Beatrice Acciaio , Hansjörg Albrecher , Brandon García Flores

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

We propose a two-layer stochastic game model to study reinsurance contracting and competition in a market with one insurer and two competing reinsurers. The insurer negotiates with both reinsurers simultaneously for proportional reinsurance…

Mathematical Finance · Quantitative Finance 2024-09-23 Zongxia Liang , Yi Xia , Bin Zou