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In this paper, we consider the problem of optimal reinsurance design, when the risk is measured by a distortion risk measure and the premium is given by a distortion risk premium. First, we show how the optimal reinsurance design for the…

风险管理 · 定量金融 2014-06-12 Hirbod Assa

We study an optimal reinsurance problem under a diffusion risk model for an insurer who aims to minimize the probability of lifetime ruin. To rule out moral hazard issues, we only consider moral-hazard-free reinsurance contracts by imposing…

数理金融 · 定量金融 2023-04-19 Zhuo Jin , Zuo Quan Xu , Bin Zou

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…

风险管理 · 定量金融 2023-12-05 Tim J. Boonen , Xia Han

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…

风险管理 · 定量金融 2018-07-19 Yuxia Huang , Chuancun Yin

We find the optimal indemnity to minimize the probability of ruin when premium is calculated according to the distortion premium principle with a proportional risk load, and admissible indemnities are such that both the indemnity and…

风险管理 · 定量金融 2020-12-08 Bahman Angoshtari , Virginia R. Young

This paper investigates a Pareto optimal insurance problem, where the insured maximizes her rank-dependent utility preference and the insurer is risk neutral and employs the mean-variance premium principle. To eliminate potential moral…

风险管理 · 定量金融 2022-08-03 Zuo Quan Xu

In this paper, we study an optimal insurance problem for a risk-averse individual who seeks to maximize the rank-dependent expected utility (RDEU) of her terminal wealth, and insurance is priced via a general distortion-deviation premium…

风险管理 · 定量金融 2022-02-08 Xiaoqing Liang , Ruodu Wang , Virginia Young

The aims of this study are twofold. First, we consider an optimal risk allocation problem with non-convex preferences. By establishing an infimal representation for distortion risk measures, we give some necessary and sufficient conditions…

风险管理 · 定量金融 2015-03-17 Hirbod Assa

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…

数理金融 · 定量金融 2024-01-17 Jingyi Cao , Dongchen Li , Virginia R. Young , Bin Zou

This paper studies optimal insurance design under asymmetric information in a Stackelberg framework, where a monopolistic insurer faces uncertainty about both the insured's risk attitude, captured by a risk-aversion parameter, and the…

风险管理 · 定量金融 2026-04-20 Xia Han , Bin Li

The net-premium principle is considered to be the most genuine and fair premium principle in actuarial applications. However, an insurance company, applying the net-premium principle, goes bankrupt with probability one in the long run, even…

风险管理 · 定量金融 2013-04-03 Alois Pichler

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…

风险管理 · 定量金融 2020-08-18 Yichun Chi , Xun Yu Zhou , Sheng Chao Zhuang

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…

理论经济学 · 经济学 2025-04-11 Bingzheng Chen , Zongxia Liang , Shunzhi Pang

In the literature, insurance and reinsurance pricing is typically determined by a premium principle, characterized by a risk measure that reflects the policy seller's risk attitude. Building on the work of Meyers (1980) and Chen et al.…

风险管理 · 定量金融 2025-07-08 Ziyue Shi , David Landriault , Fangda Liu

Optimal reinsurance when Value at Risk and expected surplus is balanced through their ratio is studied, and it is demonstrated how results for risk-adjusted surplus can be utilized. Simplifications for large portfolios are derived, and this…

应用统计 · 统计学 2019-12-10 Erik Bølviken , Yinzhi Wang

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…

理论经济学 · 经济学 2025-10-03 Andrea Di Giovan Paolo , Jose Higueras

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…

风险管理 · 定量金融 2026-05-22 Maria Andraos , Mario Ghossoub , Bin Li , Benxuan Shi

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…

理论经济学 · 经济学 2025-04-03 Mario Ghossoub , Bin Li , Benxuan Shi

We study the problem of portfolio insurance from the point of view of a fund manager, who guarantees to the investor that the portfolio value at maturity will be above a fixed threshold. If, at maturity, the portfolio value is below the…

风险管理 · 定量金融 2011-02-23 Carmine De Franco , Peter Tankov

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…

风险管理 · 定量金融 2025-10-08 Mario Ghossoub , Michael B. Zhu , Wing Fung Chong
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