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A new multivariate distribution possessing arbitrarily parametrized and positively dependent univariate Pareto margins is introduced. Unlike the probability law of Asimit et al. (2010) [Asimit, V., Furman, E. and Vernic, R. (2010) On a…

Risk Management · Quantitative Finance 2016-07-19 Jianxi Su , Edward Furman

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…

Risk Management · Quantitative Finance 2020-12-08 Bahman Angoshtari , Virginia R. Young

We develop a new approach to solving classification problems, which is bases on the theory of coherent measures of risk and risk sharing ideas. The proposed approach aims at designing a risk-averse classifier. The new approach allows for…

Machine Learning · Statistics 2018-07-24 Constantine Vitt , Darinka Dentcheva , Hui Xiong

The demand for voluntary insurance against low-probability, high-impact risks is lower than expected. To assess the magnitude of the demand, we conduct a meta-analysis of contingent valuation studies using a dataset of experimentally…

Risk Management · Quantitative Finance 2024-02-27 Selim Mankaï , Sébastien Marchand , Ngoc Ha Le

Dependence among multiple lifetimes is a key factor for pricing and evaluating the risk of joint life insurance products. The dependence structure can be exposed to model uncertainty when available data and information are limited. We…

Risk Management · Quantitative Finance 2026-03-30 Takaaki Koike

We consider a market consisting of one safe and one risky asset, which offer constant investment opportunities. Taking into account both proportional transaction costs and linear price impact, we derive optimal rebalancing policies for…

Portfolio Management · Quantitative Finance 2017-09-05 Ren Liu , Johannes Muhle-Karbe , Marko H. Weber

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

The frequent occurrence of natural disasters has posed significant challenges to society, necessitating the urgent development of effective risk management strategies. From the early informal community-based risk sharing mechanisms to…

Risk Management · Quantitative Finance 2025-08-06 Lichen Wang , Shijia Hua , Yuyuan Liu , Zhengyuan Lu , Liang Zhang , Linjie Liu , Attila Szolnoki

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

This paper studies the robust reinsurance and investment games for competitive insurers. Model uncertainty is characterized by a class of equivalent probability measures. Each insurer is concerned with relative performance under the…

Mathematical Finance · Quantitative Finance 2024-12-13 Guohui Guan , Zongxia Liang , Yi Xia

The Pareto model is very popular in risk management, since simple analytical formulas can be derived for financial downside risk measures (Value-at-Risk, Expected Shortfall) or reinsurance premiums and related quantities (Large Claim Index,…

Econometrics · Economics 2019-12-30 Arthur Charpentier , Emmanuel Flachaire

Consider an insurance company exposed to a stochastic economic environment that contains two kinds of risk. The first kind is the insurance risk caused by traditional insurance claims, and the second kind is the financial risk resulting…

Statistics Theory · Mathematics 2015-07-29 Jinzhu Li , Qihe Tang

Cyberinsurance is a powerful tool to align market incentives toward improving Internet security. We trace the evolution of cyberinsurance from traditional insurance policies to early cyber-risk insurance policies to current comprehensive…

Cryptography and Security · Computer Science 2007-05-23 Ruperto P. Majuca , William Yurcik , Jay P. Kesan

We uncover a close link between outside options and risk attitude: when a decision-maker gains access to an outside option, her behaviour becomes less risk-averse, and conversely, any observed decrease of risk-aversion can be explained by…

Theoretical Economics · Economics 2025-09-19 Gregorio Curello , Ludvig Sinander , Mark Whitmeyer

We present a general approach to the pricing of products in finance and insurance in the multi-period setting. It is a combination of the utility indifference pricing and optimal intertemporal risk allocation. We give a characterization of…

Pricing of Securities · Quantitative Finance 2008-12-02 Kei Fukuda , Akihiko Inoue , Yumiharu Nakano

Since the beginning of their history, insurers have been known to use data to classify and price risks. As such, they were confronted early on with the problem of fairness and discrimination associated with data. This issue is becoming…

General Economics · Economics 2022-05-18 Laurence Barry , Arthur Charpentier

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 provide an axiomatic approach to general premium principles in a probability-free setting that allows for Knightian uncertainty. Every premium principle is the sum of a risk measure, as a generalization of the expected value, and a…

Risk Management · Quantitative Finance 2020-12-21 Max Nendel , Frank Riedel , Maren Diane Schmeck

This paper addresses the identification of insurance models with multidimensional screening where insurees have private information about their risk and risk aversion. The model includes a random damage and the possibility of several…

Mathematical Finance · Quantitative Finance 2016-01-18 Gaurab Aryal , Isabelle Perrigne , Quang Vuong

The classical notion of comonotonicity has played a pivotal role when solving diverse problems in economics, finance, and insurance. In various practical problems, however, this notion of extreme positive dependence structure is overly…

Risk Management · Quantitative Finance 2019-09-13 Ruodu Wang , Ricardas Zitikis