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Since 2016 the operation of insurance companies in the European Union is regulated by the Solvency II directive. According to the EU directive the capital requirement should be calculated as a 99.5\% of Value at Risk. In this study, we…

理论经济学 · 经济学 2024-04-30 Kolos Csaba Ágoston , Veronika Varga

We discuss the use of likelihood asymptotics for inference on risk measures in univariate extreme value problems, focusing on estimation of high quantiles and similar summaries of risk for uncertainty quantification. We study whether…

统计方法学 · 统计学 2021-01-28 Léo R. Belzile , Anthony C. Davison

In this article we consider risk-sensitive control of semi-Markov processes with a discrete state space. We consider general utility functions and discounted cost in the optimization criteria. We consider random finite horizon and infinite…

最优化与控制 · 数学 2021-01-13 Arnab Bhabak , Subhamay Saha

This paper studies an $\alpha$-robust utility maximization problem where an investor faces an intractable claim -- an exogenous contingent claim with known marginal distribution but unspecified dependence structure with financial market…

投资组合管理 · 定量金融 2026-04-07 Xinyu Chen , Zuo Quan Xu

In hedge funds, convex compensation schemes are adopted to stimulate a high-profit performance for portfolio managers. In economics, non-monotone risk aversion is proposed to argue that individuals may not be risk-averse when the wealth…

最优化与控制 · 数学 2024-11-05 Yang Liu , Zhenyu Shen

In this paper we obtain closed expressions for the probability distribution function, when we consider aggregated risks with multivariate dependent Pareto distributions. We work with the dependent multivariate Pareto type II proposed by…

统计方法学 · 统计学 2015-06-02 José María Sarabia , Emilio Gómez-Déniz , Faustino Prieto , Vanesa Jordá

Under appropriate integrability conditions the risk measure of the sample measures for a law invariant risk measure converge almost surely to the risk measure of the sampled random variable. The results follow from general convergence…

概率论 · 数学 2021-09-23 Freddy Delbaen

This paper formulates an utility indifference pricing model for investors trading in a discrete time financial market under non-dominated model uncertainty. The investors preferences are described by strictly increasing concave random…

数理金融 · 定量金融 2020-10-05 Romain Blanchard , Laurence Carassus

We consider a discrete-time dividend payout problem with risk sensitive shareholders. It is assumed that they are equipped with a risk aversion coefficient and construct their discounted payoff with the help of the exponential premium…

概率论 · 数学 2017-03-08 Nicole Bäuerle , Anna Jaśkiewicz

Hedge fund managers with the first-loss scheme charge a management fee, a performance fee and guarantee to cover a certain amount of investors' potential losses. We study how parties can choose a mutually preferred first-loss scheme in a…

投资组合管理 · 定量金融 2023-10-31 Marcos Escobar-Anel , Yevhen Havrylenko , Rudi Zagst

In this paper we consider reinsurance or risk sharing from a macroeconomic point of view. Our aim is to find socially optimal reinsurance treaties. In our setting we assume that there are $n$ insurance companies each bearing a certain risk…

风险管理 · 定量金融 2021-07-21 Nicole Bäuerle , Alexander Glauner

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

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

In this paper we will study the approximation of arbitrary law invariant risk measures. As a starting point, we approximate the average value at risk using stochastic gradient Langevin dynamics, which can be seen as a variant of the…

风险管理 · 定量金融 2023-02-13 Jiarui Chu , Ludovic Tangpi

We investigate the optimal investment-reinsurance problem for insurance company with partial information on the market price of the risk. Through the use of filtering techniques we convert the original optimization problem involving…

投资组合管理 · 定量金融 2024-08-15 Claudia Ceci , Katia Colaneri

We address the statistical estimation of composite functionals which may be nonlinear in the probability measure. Our study is motivated by the need to estimate coherent measures of risk, which become increasingly popular in finance,…

统计理论 · 数学 2015-04-13 Darinka Dentcheva , Spiridon Penev , Andrzej Ruszczynski

We consider the problem of minimizing the probability of ruin by purchasing reinsurance whose premium is computed according to the mean-variance premium principle, a combination of the expected-value and variance premium principles. We…

最优化与控制 · 数学 2020-07-07 Xiaoqing Liang , Zhibin Liang , Virginia R. Young

This paper studies a sequential decision problem where payoff distributions are known and where the riskiness of payoffs matters. Equivalently, it studies sequential choice from a repeated set of independent lotteries. The decision-maker is…

理论经济学 · 经济学 2024-01-02 Zengjing Chen , Larry G. Epstein , Guodong Zhang

In an incomplete market setting, we consider two financial agents, who wish to price and trade a non-replicable contingent claim. Assuming that the agents are utility maximizers, we propose a transaction price which is a result of the…

We study the sensitivity of the expected utility maximization problem in a continuous semi-martingale market with respect to small changes in the market price of risk. Assuming that the preferences of a rational economic agent are modeled…

投资组合管理 · 定量金融 2017-05-24 Oleksii Mostovyi , Mihai Sîrbu