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摘要翻译：
本文研究了在固定破产概率下大型保险公司的最优控制问题。公司控制比例再保险费率、股息支付和投资过程，以最大限度地提高股息支付的预期现值，直到破产。本文旨在描述最优收益函数和最优策略。作为副产品，本文从理论上设定了一个基于风险的资本标准，以确保资本需求能够覆盖总风险。
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英文标题：
《Optimal dividend and investing control of a insurance company with
higher solvency constraints》
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作者：
Zongxia Liang and Jianping Huang
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最新提交年份：
2010
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分类信息：
一级分类：Quantitative Finance 数量金融学
二级分类：Risk Management 风险管理
分类描述：Measurement and management of financial risks in trading, banking, insurance, corporate and other applications
衡量和管理贸易、银行、保险、企业和其他应用中的金融风险
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一级分类：Mathematics 数学
二级分类：Optimization and Control 优化与控制
分类描述：Operations research, linear programming, control theory, systems theory, optimal control, game theory
运筹学，线性规划，控制论，系统论，最优控制，博弈论
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一级分类：Mathematics 数学
二级分类：Probability 概率
分类描述：Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
概率论与随机过程的理论与应用：例如中心极限定理，大偏差，随机微分方程，统计力学模型，排队论
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英文摘要：
This paper considers optimal control problem of a large insurance company under a fixed insolvency probability. The company controls proportional reinsurance rate, dividend pay-outs and investing process to maximize the expected present value of the dividend pay-outs until the time of bankruptcy. This paper aims at describing the optimal return function as well as the optimal policy. As a by-product, the paper theoretically sets a risk-based capital standard to ensure the capital requirement of can cover the total risk.
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PDF链接：
https://arxiv.org/pdf/1005.1360
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