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We provide a new algorithm for solving Risk Sensitive Partially Observable Markov Decisions Processes, when the risk is modeled by a utility function, and both the state space and the space of observations is finite. This algorithm is based…

最优化与控制 · 数学 2022-07-19 Arsham Afsardeir , Andreas Kapetanis , Vaios Laschos , Klaus Obermayer

We use the theory of coherent measures to look at the problem of surplus sharing in an insurance business. The surplus share of an insured is calculated by the surplus premium in the contract. The theory of coherent risk measures and the…

数理金融 · 定量金融 2018-11-07 Delia Coculescu , Freddy Delbaen

We study the problem of optimal risk policies and dividend strategies for an insurance company operating under the constraint that the timing of shareholder payouts is governed by the arrival times of a Poisson process. Concurrently, risk…

最优化与控制 · 数学 2025-02-19 Mark Kelbert , Harold A. Moreno-Franco

We investigate the quantification of demographic risk in a framework consistent with the market-consistent valuation imposed by Solvency II. We provide compact formulas for evaluating inflows and outflows of a portfolio of insurance…

风险管理 · 定量金融 2023-07-07 Francesco Della Corte , Gian Paolo Clemente , Nino Savelli

We find the asymptotics of the value function maximizing the expected utility of discounted dividend payments of an insurance company whose reserves are modeled as a classical Cram\'er risk process, with exponentially distributed claims,…

最优化与控制 · 数学 2023-03-22 Sebastian Baran , Corina Constantinescu , Zbigniew Palmowski

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

This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model, and provides two linear approximations for the utility indifference price. The key tool is a probabilistic representation for the…

投资组合管理 · 定量金融 2014-04-01 Vicky Henderson , Gechun Liang

For incomplete preference relations that are represented by multiple priors and/or multiple -- possibly multivariate -- utility functions, we define a certainty equivalent as well as the utility buy and sell prices and indifference price…

最优化与控制 · 数学 2021-04-06 Birgit Rudloff , Firdevs Ulus

We consider a diffusion approximation to an insurance risk model where an external driver models a stochastic environment. The insurer can buy reinsurance. Moreover, investment in a financial market is possible. The financial market is also…

数理金融 · 定量金融 2019-04-01 Matteo Brachetta , Hanspeter Schmidli

This paper examines optimal risk sharing for empirically realistic risk attitudes, providing results on Pareto optimality, competitive equilibria, utility frontiers, and the first and second theorems of welfare. Contrary to common…

理论经济学 · 经济学 2025-10-06 Jean-Gabriel Lauzier , Liyuan Lin , Peter Wakker , Ruodu Wang

We expose a theoretical hedging optimization framework with variational preferences under convex risk measures. We explore a general dual representation for the composition between risk measures and utilities. We study the properties of the…

数理金融 · 定量金融 2024-10-11 Marcelo Righi

We propose a pricing technique based on coherent risk measures, which enables one to get finer price intervals than in the No Good Deals pricing. The main idea consists in splitting a liability into several parts and selling these parts to…

概率论 · 数学 2008-12-02 Alexander S. Cherny , Dilip B. Madan

We study optimal proportional reinsurance and investment strategies for an insurance company which experiences both ordinary and catastrophic claims and wishes to maximize the expected exponential utility of its terminal wealth. We propose…

投资组合管理 · 定量金融 2021-05-18 Claudia Ceci , Katia Colaneri , Alessandra Cretarola

We study a robust utility maximization problem in a general discrete-time frictionless market under quasi-sure no-arbitrage. The investor is assumed to have a random and concave utility function defined on the whole real-line. She also…

数理金融 · 定量金融 2024-02-28 Laurence Carassus , Massinissa Ferhoune

We propose a fast and accurate numerical method for pricing European swaptions in multi-factor Gaussian term structure models. Our method can be used to accelerate the calibration of such models to the volatility surface. The pricing of an…

数理金融 · 定量金融 2018-03-26 Jaehyuk Choi , Sungchan Shin

During the life of a wind farm, various types of costs arise. A large share of the operational cost for a wind farm is due to maintenance of the wind turbine equipment; these costs are especially pronounced for offshore wind farms and…

最优化与控制 · 数学 2021-05-17 Quanjiang Yu , Ann-Brith Strömberg

This paper covers a massive acceleration of Monte-Carlo based pricing method for financial products and financial derivatives. The method is applicable in risk management settings, where a financial product has to be priced under a number…

计算工程、金融与科学 · 计算机科学 2008-09-30 Stefan Dirnstorfer , Andreas J. Grau

We propose a hedging approach for general contingent claims when liquidity is a concern and trading is subject to transaction cost. Multiple assets with different liquidity levels are available for hedging. Our risk criterion targets a…

数理金融 · 定量金融 2018-07-02 Panagiotis Christodoulou , Nils Detering , Thilo Meyer-Brandis

We discuss the asymptotic behaviour of risk-based indifference prices of European contingent claims in discrete-time financial markets under volatility uncertainty as the number of intermediate trading periods tends to infinity. The…

数理金融 · 定量金融 2024-11-04 Jonas Blessing , Michael Kupper , Alessandro Sgarabottolo

We consider utility maximization problem for semi-martingale models depending on a random factor $\xi$. We reduce initial maximization problem to the conditional one, given $\xi=u$, which we solve using dual approach. For HARA utilities we…

证券定价 · 定量金融 2018-04-20 Anastasia Ellanskaya , Lioudmila Vostrikova
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