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A variable annuity is an equity-linked financial product typically offered by insurance companies. The policyholder makes an upfront payment to the insurance company and, in return, the insurer is required to make a series of payments…

Pricing of Securities · Quantitative Finance 2019-11-25 Riley Jones , Adriana Ocejo

This paper studies an optimal reinsurance problem for a utility-maximizing insurer, subject to the reinsurer's endogenous default and background risk. An endogenous default occurs when the insurer's contractual indemnity exceeds the…

Risk Management · Quantitative Finance 2026-02-25 Zongxia Liang , Zhaojie Ren , Bin Zou

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 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

Models for epidemic spread typically account for variable risk factors but do not account for the correlation between behavior and risk. Here we extend these models to account for such correlations. We find that a positive correlation…

Physics and Society · Physics 2025-08-14 Yoel Sanders

We analyze multiline pricing and capital allocation in equilibrium no-arbitrage markets. Existing theories often assume a perfect complete market, but when pricing is linear, there is no diversification benefit from risk pooling and…

Risk Management · Quantitative Finance 2020-08-31 John A. Major , Stephen J. Mildenhall

A common problem in risk analysis is to characterize the overall security of a system of valuable assets (e.g., government buildings or communication hubs), and to suggest measures to mitigate any hazards or security threats. Currently,…

Cryptography and Security · Computer Science 2019-01-23 Vicki Bier , Alexander Gutfraind

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

Risk control has become one of the major concern of financial institutions. The need for adequate statistical tools to measure and anticipate the amplitude of the potential moves of financial markets is clearly expressed, in particular for…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Marc Potters

The peer-to-peer (P2P) economy has been growing with the advent of the Internet, with well known brands such as Uber or Airbnb being examples thereof. In the insurance sector the approach is still in its infancy, but some companies have…

Risk Management · Quantitative Finance 2022-09-14 Arthur Charpentier , Lariosse Kouakou , Matthias Löwe , Philipp Ratz , Franck Vermet

In this study, we will discuss recent developments in risk management of the global financial and insurance business with respect to sustainable development. So far climate change aspects have been the dominant aspect in managing…

Risk Management · Quantitative Finance 2021-02-05 Dietmar Pfeifer , Vivien Langen

We present a first approximation of agent behaviour in a generalized model in contract theory. This model relaxes some of the the assumptions of one of the classical models allowing to include a broader range of agents. We introduce the…

Optimization and Control · Mathematics 2011-07-15 Francisco Gutiérrez , Camilo Argoty , Stefany Moreno

Risk adjustment in health care aims to redistribute payments to insurers based on costs. However, risk adjustment formulas are known to underestimate costs for some groups of patients. This undercompensation makes these groups unprofitable…

Applications · Statistics 2021-09-29 Anna Zink , Sherri Rose

Employing a generalized definition of Pratt (1964) and Arrow's (1965, 1971) probability premium, we introduce a new concept of attitude towards probability. We illustrate in a problem of risk sharing that whether attitude towards…

Risk Management · Quantitative Finance 2021-05-04 Louis R. Eeckhoudt , Roger J. A. Laeven

We consider a competitive market with risk-averse participants. We assume that agents' risks are measured by coherent risk measures introduced by Artzner et al. (1999). Fundamental theorems of welfare economics have long established the…

Optimization and Control · Mathematics 2025-04-28 Iman Khajepour , Geoffrey Pritchard , Danny Ralph , Golbon Zakeri

In this paper, we investigate a complex variation of the standard joint life annuity policy by introducing three distinct contingent benefits for the surviving member(s) of a couple, along with a contingent benefit for their beneficiaries…

Pricing of Securities · Quantitative Finance 2024-10-17 Kira Henshaw , Cedric H. A. Koffi , Olivier Menoukeu Pamen , Raghid Zeineddine

This paper introduces new valuation schemes called actuarial-consistent valuations for insurance liabilities which depend on both financial and actuarial risks, which imposes that all actuarial risks are priced via standard actuarial…

Pricing of Securities · Quantitative Finance 2022-03-15 Karim Barigou , Daniël Linders , Fan Yang

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

A meticulous assessment of the risk of impacts associated with extreme wind events is of great necessity for populations, civil authorities as well as the insurance industry. Using the concept of spatial risk measure and related set of…

Probability · Mathematics 2019-12-19 Erwan Koch

The paper studies an oligopolistic equilibrium model of financial agents who aim to share their random endowments. The risk-sharing securities and their prices are endogenously determined as the outcome of a strategic game played among all…

General Finance · Quantitative Finance 2016-05-18 Michail Anthropelos
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