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Insurer risk management and optimal reinsurance

机译:保险公司的风险管理和最佳再保险

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摘要

In finance the existence of corporate risk management is due to imperfections in financial markets. One of the main imperfections is associated with the cost of corporate risk that firms assume. Costly corporate risk creates a set of frictional costsand thereby decreases corporate value. Financial corporations manage their riskto reduce the expected value of frictional costs and enhance shareholders' value,and do so using a wide variety of tools. This dissertation primarily considers aninsurance company as a special type of financial corporation leveraged by riskydebt, and investigates the existence of risk management incentives in insurance inthe presence of frictional costs such as financial distress costs and costs caused bythe convexity of the corporate tax rate. Here one of the main tool of risk hedgingis reinsurance, a classical tool for risk transfer in insurance, and this dissertationinvestigates demand for reinsurance in insurer value creation. Insurer risk management problems are also investigated here in a dynamic setting, where the main objective is to find optimal reinsurance and dividend payments under which theexpected present value of future dividends is maximised. This dissertation alsogeneralizes some classic actuarial results of reinsurance optimization under themean-variance criterion. In this work optimal reinsurance is found endogenouslyfor different reinsurance premium principle using standard methods of convexanalysis. Finally this work considers an integrated market consisting of insureds,insurers and reinsurers, and studies the effect of the presence of reinsurance inthis market on insurance price.
机译:在金融领域,公司风险管理的存在是由于金融市场的不完善所致。主要缺陷之一与公司承担的公司风险成本有关。代价高昂的企业风险会产生一系列摩擦成本,从而降低企业价值。金融公司管理风险以降低摩擦成本的期望值并提高股东价值,并使用多种工具来实现。本文主要将保险公司作为一种利用风险债务杠杆化的金融公司,研究了存在财务成本,企业税率凸性等摩擦成本的保险风险管理激励机制的存在。这里,风险对冲的主要工具之一是再保险,这是保险中风险转移的经典工具,本论文研究了保险公司创造价值中对再保险的需求。在动态环境中,这里还研究了保险公司的风险管理问题,其主要目的是找到最佳的再保险和分红支付方式,从而使预期的未来分红现值最大化。本文还归纳了主题变量法下再保险优化的一些经典精算结果。在这项工作中,使用凸分析的标准方法为不同的再保险保费原则内生地找到了最佳再保险。最后,这项工作考虑了一个由被保险人,保险人和再保险人组成的综合市场,并研究了该市场中再保险的存在对保险价格的影响。

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