Compensation-based risk-sharing

Fuente: arXiv
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Autori principali: Dhaene, Jan, Chaudhry, Atibhav, Cheung, Ka Chun, Riis-Due, Austin
Natura: Preprint
Pubblicazione: 2025
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author Dhaene, Jan
Chaudhry, Atibhav
Cheung, Ka Chun
Riis-Due, Austin
author_facet Dhaene, Jan
Chaudhry, Atibhav
Cheung, Ka Chun
Riis-Due, Austin
contents This paper studies the mathematical problem of allocating payouts (compensations) in an endowment contingency fund using a risk-sharing rule that satisfies full allocation. Besides the participants, an administrator manages the fund by collecting ex-ante contributions to establish the fund and distributing ex-post payouts to members. Two types of administrators are considered. An 'active' administrator both invests in the fund and receives the payout of the fund when no participant receives a payout. A 'passive' administrator performs only administrative tasks and neither invests in nor receives a payout from the fund. We analyze the actuarial fairness of both compensation-based risk-sharing schemes and provide general conditions under which fairness is achieved. The results extend earlier work by Denuit and Robert (2025) and Dhaene and Milevsky (2024), who focused on payouts based on Bernoulli distributions, by allowing for general non-negative loss distributions.
format Preprint
id arxiv_https___arxiv_org_abs_2510_19511
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Compensation-based risk-sharing
Dhaene, Jan
Chaudhry, Atibhav
Cheung, Ka Chun
Riis-Due, Austin
Risk Management
General Economics
Economics
This paper studies the mathematical problem of allocating payouts (compensations) in an endowment contingency fund using a risk-sharing rule that satisfies full allocation. Besides the participants, an administrator manages the fund by collecting ex-ante contributions to establish the fund and distributing ex-post payouts to members. Two types of administrators are considered. An 'active' administrator both invests in the fund and receives the payout of the fund when no participant receives a payout. A 'passive' administrator performs only administrative tasks and neither invests in nor receives a payout from the fund. We analyze the actuarial fairness of both compensation-based risk-sharing schemes and provide general conditions under which fairness is achieved. The results extend earlier work by Denuit and Robert (2025) and Dhaene and Milevsky (2024), who focused on payouts based on Bernoulli distributions, by allowing for general non-negative loss distributions.
title Compensation-based risk-sharing
topic Risk Management
General Economics
Economics
url https://arxiv.org/abs/2510.19511