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In economic analysis, rational decision-makers often take actions to reduce their risk exposure. These actions include purchasing market insurance and implementing prevention measures to modify the shape of the loss distribution. Under the…

Risk Management · Quantitative Finance 2025-02-24 Qiqi Li , Wei Wang , Yiying Zhang

This project works with the risk model developed by Li et al. (2015) and quests modelling, estimating and pricing insurance for risks brought in by innovative technologies, or other emerging or latent risks. The model considers two…

Statistics Theory · Mathematics 2019-05-20 Weihong Ni , Corina Constantinescu , Alfredo Egídio dos Reis , Véronique Maume-Deschamps

A new realized conditional autoregressive Value-at-Risk (VaR) framework is proposed, through incorporating a measurement equation into the original quantile regression model. The framework is further extended by employing various Expected…

Risk Management · Quantitative Finance 2021-01-18 Chao Wang , Richard Gerlach , Qian Chen

We study risk sharing among agents with preferences modeled by heterogeneous distortion risk measures, who are not necessarily risk averse. Pareto optimality for agents using risk measures is often studied through the lens of…

Risk Management · Quantitative Finance 2026-03-11 Mario Ghossoub , Qinghua Ren , Ruodu Wang

This paper applies the Extreme-Value (EV) Generalised Pareto distribution to the extreme tails of the return distributions for the S&P500, FT100, DAX, Hang Seng, and Nikkei225 futures contracts. It then uses tail estimators from these…

Risk Management · Quantitative Finance 2011-03-30 John Cotter , Kevin Dowd

Under Solvency II, the Value-at-Risk (VaR) is applied, although there is broad consensus that the Expected Shortfall (ES) constitutes a more appropriate risk measure. Moving towards ES would necessitate specifying the corresponding ES…

Mathematical Finance · Quantitative Finance 2026-03-16 Christian Laudagé , Jörn Sass

In this paper, we introduce the rich classes of conditional distortion (CoD) risk measures and distortion risk contribution ($\Delta$CoD) measures as measures of systemic risk and analyze their properties and representations. The classes…

Risk Management · Quantitative Finance 2019-01-29 Jan Dhaene , Roger J. A. Laeven , Yiying Zhang

Value-at-risk (VaR) and expected shortfall (ES) are two commonly utilized metrics for quantifying financial risk. In this study, we review the widely employed Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models. These…

Computation · Statistics 2024-05-14 Kanon Kamronnaher , Andrew Bellucco , Whitney K. Huang , Colin M. Gallagher

We study optimal risk sharing among $n$ agents endowed with distortion risk measures. Our model includes market frictions that can either represent linear transaction costs or risk premia charged by a clearing house for the agents. Risk…

Optimization and Control · Mathematics 2012-05-07 M. Ludkovski , V. R. Young

Expectiles define the only law-invariant, coherent and elicitable risk measure apart from the expectation. The popularity of expectile-based risk measures is steadily growing and their properties have been studied for independent data, but…

Methodology · Statistics 2021-10-13 Anthony C. Davison , Simone A. Padoan , Gilles Stupfler

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

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

A risk measure that is consistent with the second-order stochastic dominance and additive for sums of independent random variables can be represented as a weighted entropic risk measure (WERM). The expected utility maximization problem with…

Mathematical Finance · Quantitative Finance 2021-12-07 Jianming Xia

A semi-parametric joint Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting framework employing multiple realized measures is developed. The proposed framework extends the realized exponential GARCH model to be semi-parametrically…

Risk Management · Quantitative Finance 2024-12-06 Rangika Peiris , Chao Wang , Richard Gerlach , Minh-Ngoc Tran

The design and operation of protective systems is an essential engineering responsibility. Ensuring public safety, while essential, must be accomplished at a feasible cost and within government regulation. Hence, protective system design…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Martin Wortman , Ernest Kee , Pranav Kannan

In the present contribution we characterize law determined convex risk measures that have convex level sets at the level of distributions. By relaxing the assumptions in Weber (2006), we show that these risk measures can be identified with…

Risk Management · Quantitative Finance 2014-11-04 Freddy Delbaen , Fabio Bellini , Valeria Bignozzi , Johanna F. Ziegel

The statistical tests that are commonly used for detecting mean or median treatment effects suffer from low power when the two distribution functions differ only in the upper (or lower) tail, as in the assessment of the Total Sharp Score…

Applications · Statistics 2011-01-10 Xuming He , Ya-Hui Hsu , Mingxiu Hu

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…

Theoretical Economics · Economics 2025-04-03 Mario Ghossoub , Bin Li , Benxuan Shi

In this article, we employ a principal-agent model to analyze optimal contract design in a monopolistic reinsurance market under adverse selection with a continuum of insurer types. Instead of using the classical expected utility framework,…

Risk Management · Quantitative Finance 2026-01-06 Ka Chun Cheung , Sheung Chi Phillip Yam , Fei Lung Yuen , Yiying Zhang

We address the problem of sharing risk among agents with preferences modelled by a general class of comonotonic additive and law-based functionals that need not be either monotone or convex. Such functionals are called distortion…

Risk Management · Quantitative Finance 2025-09-12 Jean-Gabriel Lauzier , Liyuan Lin , Ruodu Wang
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