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Related papers: Non-Life Insurance Pricing : Statistical Mechanics…

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This paper develops a dynamic equilibrium model of the insurance market that jointly characterizes insurers' underwriting, investment, recapitalization, and dividend policies under model uncertainty and financial frictions. Competitive…

Risk Management · Quantitative Finance 2026-03-20 Bingzheng Chen , Jan Dhaene , Chun Liu , Shunzhi Pang

Pharmaceutical markets for life-saving therapies combine monopoly power with insurance coverage. We build a tractable sequential game in which a patent-holder chooses the drug price, a profit-maximising insurer sets its premium, and a…

Theoretical Economics · Economics 2025-09-22 Delia Coculescu , Maximilian Janisch , Thomas Lehéricy

Every time drivers take to the road, and with each mile that they drive, exposes themselves and others to the risk of an accident. Insurance premiums are only weakly linked to mileage, however, and have lump-sum characteristics largely. The…

Risk Management · Quantitative Finance 2020-03-11 Safoora Zarei , Ali R. Fallahi

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

Traditional insurance pricing relies on risk-based principles that ensure actuarial fairness and solvency but do not explicitly account for policyholders' price sensitivity. We formulate insurance pricing as a decision-making problem and…

Machine Learning · Statistics 2026-05-29 Sascha Günther , Dimitri Semenovich , Mario V. Wüthrich

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

We have developed a model for a life insurance policy. In this model the net gain is calculated by computer simulation for a particular type of lifetime distribution function. We observed that the net gain becomes maximum for a particular…

Statistical Mechanics · Physics 2015-06-24 M. Acharyya , A. B. Acharyya

In this paper we study the pricing and hedging problem of a portfolio of life insurance products under the benchmark approach, where the reference market is modelled as driven by a state variable following a polynomial diffusion on a…

Mathematical Finance · Quantitative Finance 2016-09-26 Francesca Biagini , Yinglin Zhang

Most insurance contracts are inherently linked to financial markets, be it via interest rates, or -- as hybrid products like equity-linked life insurance and variable annuities -- directly to stocks or indices. However, insurance contracts…

Mathematical Finance · Quantitative Finance 2022-11-28 Philippe Artzner , Karl-Theodor Eisele , Thorsten Schmidt

We find the optimal indemnity to maximize the expected utility of terminal wealth of a buyer of insurance whose preferences are modeled by an exponential utility. The insurance premium is computed by a convex functional. We obtain a…

Mathematical Finance · Quantitative Finance 2024-01-17 Jingyi Cao , Dongchen Li , Virginia R. Young , Bin Zou

Rate change calculations in the literature involve deterministic methods that measure the change in premium for a given policy. The definition of rate change as a statistical parameter is proposed to address the stochastic nature of the…

Portfolio Management · Quantitative Finance 2018-10-26 Roland R. Ramsahai

In this paper we present an interacting-agent model of stock markets. We describe a stock market through an Ising-like model in order to formulate the tendency of traders getting to be influenced by the other traders' investment attitudes…

Physics and Society · Physics 2013-09-11 Taisei Kaizoji

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

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

This paper analyzes the equilibrium of insurance market in a dynamic setting, focusing on the interaction between insurers' underwriting and investment strategies. Three possible equilibrium outcomes are identified: a positive insurance…

Theoretical Economics · Economics 2025-04-11 Bingzheng Chen , Zongxia Liang , Shunzhi Pang

We discuss the possibility of using generalized canonical distributions, i.e. using other factors than $\exp(-\beta E)$, in order to compute the equilibrium properties of physical systems. It will be show that some other choices can, in…

Statistical Mechanics · Physics 2007-05-23 Raul Toral

Equilibrium pricing has been proven to underlie the rational Insured expectancy of premia additivity for composition of policies fully covering independent risks.

Probability · Mathematics 2008-12-10 Renato Ghisellini

Due to the presence of reporting and settlement delay, claim data sets collected by non-life insurance companies are typically incomplete, facing right censored claim count and claim severity observations. Current practice in non-life…

Risk Management · Quantitative Finance 2023-02-10 Jonas Crevecoeur , Katrien Antonio , Stijn Desmedt , Alexandre Masquelein

We introduce a collective model for life insurance where the heterogeneity of each insured, including the health state, is modeled by a diffusion process. This model is influenced by concepts in statistical mechanics. Using the proposed…

General Finance · Quantitative Finance 2020-12-18 Jirô Akahori , Yuuki Ida , Maho Nishida , Shuji Tamada

We use the theory of coherent measures to look at the problem of surplus sharing in an insurance business. The surplus share of an insured is calculated by the surplus premium in the contract. The theory of coherent risk measures and the…

Mathematical Finance · Quantitative Finance 2018-11-07 Delia Coculescu , Freddy Delbaen