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This paper explores an optimal investment and reinsurance problem involving both ordinary and catastrophe insurance businesses. The catastrophic events are modeled as following a compound Poisson process, impacting the ordinary insurance…

最优化与控制 · 数学 2023-11-01 Bohan Li , Junyi Guo , Xiaoqing Liang

Excessive leverage, i.e. the abuse of debt financing, is considered one of the primary factors in the default of financial institutions. Systemic risk results from correlations between individual default probabilities that cannot be…

风险管理 · 定量金融 2013-03-25 Paolo Tasca , Pavlin Mavrodiev , Frank Schweitzer

The events of the last few years revealed an acute need for tools to systematically model and analyze large financial networks. Many applications of such tools include the forecasting of systemic failures and analyzing probable effects of…

计算金融 · 定量金融 2012-09-19 Zhang Li , Ilya Pollak

We consider the problem of risk diversification in complex networks. Nodes represent e.g. financial actors, whereas weighted links represent e.g. financial obligations (credits/debts). Each node has a risk to fail because of losses…

物理与社会 · 物理学 2016-04-27 Rebekka Burkholz , Antonios Garas , Frank Schweitzer

Estimating risk measures such as large loss probabilities and Value-at-Risk is fundamental in financial risk management and often relies on computationally intensive nested Monte Carlo methods. While Multi-Level Monte Carlo (MLMC)…

计算金融 · 定量金融 2025-10-23 Alexandre Boumezoued , Adel Cherchali , Vincent Lemaire , Gilles Pagès , Mathieu Truc

The precise and large dataset concerning catastrophic events is very important for insurers. To improve the quality of such data three methods based on the bootstrap, bootknife, and GAN algorithms are proposed. Using numerical experiments…

机器学习 · 计算机科学 2025-11-05 Norbert Dzadz , Maciej Romaniuk

In this study, we propose a new multi-objective portfolio optimization with idiosyncratic and systemic risks for financial networks. The two risks are measured by the idiosyncratic variance and the network clustering coefficient derived…

投资组合管理 · 定量金融 2021-11-23 Yajie Yang , Longfeng Zhao , Lin Chen , Chao Wang , Jihui Han

We develop an agent-based simulation of the catastrophe insurance and reinsurance industry and use it to study the problem of risk model homogeneity. The model simulates the balance sheets of insurance firms, who collect premiums from…

综合经济学 · 经济学 2019-11-21 Torsten Heinrich , Juan Sabuco , J. Doyne Farmer

We investigate the performance of parallel and adaptive quantum channel discrimination strategies for a finite number of channel uses. It has recently been shown that, in the asymmetric setting with asymptotically vanishing type I error…

量子物理 · 物理学 2024-03-28 Bjarne Bergh , Nilanjana Datta , Robert Salzmann , Mark M. Wilde

Addressing the uncertainty introduced by increasing renewable integration is crucial for secure power system operation, yet capturing it while preserving the full nonlinear physics of the grid remains a significant challenge. This paper…

系统与控制 · 电气工程与系统科学 2025-10-06 Ghulam Mohy-ud-din , Yunqi Wang , Rahmat Heidari , Frederik Geth

Nonsmooth composite optimization problems under uncertainty are prevalent in various scientific and engineering applications. We consider risk-neutral composite optimal control problems, where the objective function is the sum of a…

最优化与控制 · 数学 2026-03-02 Johannes Milz , Daniel Walter

In this paper, we study an optimal reinsurance-investment problem in a risk model with two dependent classes of insurance business, where the two claim number processes are correlated through a common shock component. We assume that the…

最优化与控制 · 数学 2020-10-26 Xia Han , Zhibin Liang

The evacuation of the population from flood-affected regions is a non-structural measure to mitigate flood hazards. Shelters used for this purpose usually accommodate a large number of flood evacuees for a temporary period. Floods during…

物理与社会 · 物理学 2020-10-06 Shrabani S. Tripathy , Udit Bhatia , Mohit Mohanty , Subhankar Karmakar , Subimal Ghosh

This paper studies a robust portfolio optimization problem under the multi-factor volatility model introduced by Christoffersen et al. (2009). The optimal strategy is derived analytically under the worst-case scenario with or without…

数理金融 · 定量金融 2020-06-16 Ben-Zhang Yang , Xiaoping Lu , Guiyuan Ma , Song-Ping Zhu

The paper develops a novel design optimization framework and associated computational techniques for staged deployment optimization of complex systems under operational uncertainties. It proposes a local scenario discretization method that…

最优化与控制 · 数学 2025-10-31 Koki Ho , Masafumi Isaji , Malav Patel , Kayla Garoust

At the heart of the analytical pipeline of a modern quantitative insurance/reinsurance company is a stochastic simulation technique for portfolio risk analysis and pricing process referred to as Aggregate Analysis. Support for the…

分布式、并行与集群计算 · 计算机科学 2013-08-12 Aman Bahl , Oliver Baltzer , Andrew Rau-Chaplin , Blesson Varghese

Firms should keep capital to offer sufficient protection against the risks they are facing. In the insurance context methods have been developed to determine the minimum capital level required, but less so in the context of firms with…

风险管理 · 定量金融 2023-02-27 G. A. Delsing , M. R. H. Mandjes , P. J. C. Spreij , E. M. M. Winands

This paper considers nonlinear regular-singular stochastic optimal control of large insurance company. The company controls the reinsurance rate and dividend payout process to maximize the expected present value of the dividend pay-outs…

风险管理 · 定量金融 2010-08-31 Zongxia Liang , Jicheng Yao

Optimal portfolio selection problems are determined by the (unknown) parameters of the data generating process. If an investor wants to realise the position suggested by the optimal portfolios, he/she needs to estimate the unknown…

投资组合管理 · 定量金融 2023-04-19 Taras Bodnar , Holger Dette , Nestor Parolya , Erik Thorsén

Estimating collision probabilities between robots and environmental obstacles or other moving agents is crucial to ensure safety during path planning. This is an important building block of modern planning algorithms in many application…

机器人学 · 计算机科学 2024-09-09 Felix Herrmann , Sebastian Zach , Jacopo Banfi , Jan Peters , Georgia Chalvatzaki , Davide Tateo