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Related papers: Premiums And Reserves, Adjusted By Distortions

200 papers

The non-life insurance sector operates within a highly competitive and tightly regulated framework, confronting a pivotal juncture in the formulation of pricing strategies. Insurers are compelled to harness a range of statistical…

Machine Learning · Statistics 2024-06-21 Mulah Moriah , Franck Vermet , Arthur Charpentier

We consider a monopoly insurance market with a risk-neutral profit-maximizing insurer and a consumer with Yaari Dual Utility preferences that distort the given continuous loss distribution. The insurer observes the loss distribution but not…

Theoretical Economics · Economics 2025-04-03 Mario Ghossoub , Bin Li , Benxuan Shi

This paper studies an optimal insurance contracting problem in which the preferences of the decision maker given by the sum of the expected loss and a convex, increasing function of a deviation measure. As for the deviation measure, our…

Risk Management · Quantitative Finance 2023-12-05 Tim J. Boonen , Xia Han

We present an approach to the dynamic valuation of exposure risks in the multi-period setting, which incorporates a dynamic and multiple diversification of risks in Pareto optimal sense. This approach extends classical indifference premium…

Probability · Mathematics 2009-06-10 Kei Fukuda , Akihiko Inoue , Yumiharu Nakano

In this paper, we study two classes of optimal reinsurance models from perspectives of both insurers and reinsurers by minimizing their convex combination where the risk is measured by a distortion risk measure and the premium is given by a…

Risk Management · Quantitative Finance 2018-07-19 Yuxia Huang , Chuancun Yin

We study the design of an optimal insurance contract in which the insured maximizes her expected utility and the insurer limits the variance of his risk exposure while maintaining the principle of indemnity and charging the premium…

Risk Management · Quantitative Finance 2020-08-18 Yichun Chi , Xun Yu Zhou , Sheng Chao Zhuang

This paper investigates the benefits of incorporating diversification effects into the pricing process of insurance policies from two different business lines. The paper shows that, for the same risk reduction, insurers pricing policies…

Theoretical Economics · Economics 2025-08-20 Hamza Hanbali

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

In order to determine a suitable automobile insurance policy premium one needs to take into account three factors, the risk associated with the drivers and cars on the policy, the operational costs associated with management of the policy…

Machine Learning · Computer Science 2022-09-08 Patrick Hosein

This project works with the risk model developed by Li et al. (2015) and quests modelling, estimating and pricing insurance for risks brought in by innovative technologies, or other emerging or latent risks. The model considers two…

Statistics Theory · Mathematics 2019-05-20 Weihong Ni , Corina Constantinescu , Alfredo Egídio dos Reis , Véronique Maume-Deschamps

We use the theory of cooperative games for the design of fair insurance contracts. An insurance contract needs to specify the premium to be paid and a possible participation in the benefit (or surplus) of the company. It results from the…

Mathematical Finance · Quantitative Finance 2020-09-10 Delia Coculescu , Freddy Delbaen

With the rise of emerging risks, model uncertainty poses a fundamental challenge in the insurance industry, making robust pricing a first-order question. This paper investigates how insurers' robustness preferences shape competitive…

Risk Management · Quantitative Finance 2025-10-20 Shunzhi Pang

In with-profit life insurance, the prudent valuation of future insurance liabilities leads to systematic surplus that mainly belongs to the policyholders and is redistributed as bonus. For a fair and lawful redistribution of surplus the…

Risk Management · Quantitative Finance 2021-11-29 Julian Jetses , Marcus C. Christiansen

We study Pareto optimality in a decentralized peer-to-peer risk-sharing market where agents' preferences are represented by robust distortion risk measures that are not necessarily convex. We obtain a characterization of Pareto-optimal…

Risk Management · Quantitative Finance 2025-10-08 Mario Ghossoub , Michael B. Zhu , Wing Fung Chong

We present an analytical study of an insurance company. We model the company's performance on a statistical basis and evaluate the predicted annual income of the company in terms of insurance parameters namely the premium, total number of…

Statistical Mechanics · Physics 2008-12-10 M. Ebrahim Fouladvand , Amir H. Darooneh

This study models the monopoly pricing of weather index insurance as a Bowley-type sequential game involving a profit-maximizing insurer (leader) and a farmer (follower). The farmer chooses an insurance payoff to minimize a convex…

Risk Management · Quantitative Finance 2025-12-02 Tim J. Boonen , Wenyuan Li , Zixiao Quan

This paper introduces marginal fairness, a new individual fairness notion for equitable decision-making in the presence of protected attributes such as gender, race, and religion. This criterion ensures that decisions based on generalized…

Machine Learning · Statistics 2025-05-27 Fei Huang , Silvana M. Pesenti

The paper proposes an original methodology for constructing quantitative statistical models based on multidimensional distribution functions constructed on the basis of the insurance companies' data on inshurance policies (including…

Risk Management · Quantitative Finance 2019-08-15 Valery Baskakov , Nikolay Sheparnev , Evgeny Yanenko

We study optimal risk sharing among $n$ agents endowed with distortion risk measures. Our model includes market frictions that can either represent linear transaction costs or risk premia charged by a clearing house for the agents. Risk…

Optimization and Control · Mathematics 2012-05-07 M. Ludkovski , V. R. Young

Many insurance premium principles are defined and various estimation procedures introduced in the literature. In this paper, we focus on the estimation of the excess-of-loss reinsurance premium when the risks are randomly right-censored.…

Statistics Theory · Mathematics 2016-03-30 Louiza Soltane , Djamel Meraghni , Abdelhakim Necir