Analysis of an insurer surplus process and its associated ruin related quantities

保险公司盈余过程及其相关破产相关量的分析

• 批准号: 341316-2007
• 负责人: Landriault, David
• 金额: $ 1.02万
• 依托单位: University of Waterloo
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2007
• 资助国家: 加拿大
• 起止时间: 2007-01-01 至 2008-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=364013
• 关键词: Analysis; insurer; surplus; process; its

Quantification risk management is a key component of a financial toolkit developed to assist insurance companies in their aim to maintain a sound financial situation. An appropriate quantification of the risks associated with a particular block of insurance business necessitates the use of complex mathematical models that incorporate a multitude of factors that may influence (in a direct or indirect way) the claim experience of an insurance company.Over the last decade, the development of mathematical tools and the advances in computational capacity have permitted the quantitative analysis of more complex mathematical models, leading to a set of more realistic processes that are available to the insurance community to better understand the risks related to their business. Among the quantitative risk measures available, there are different quantities related to the event of ruin where ruin is defined to occur if and when the insurer has insufficient capital to meet its financial obligations. Indeed, the time at which ruin may be expected to occur, the amount of funds that may be expected to be available at the time of ruin, as well as the expected shortfall when and if ruin occurs are only few examples.My proposed research consists in examining these complex mathematical models in light of the aforementioned quantities of interest for the insurers. The mathematical concepts required to perform this analysis alluded to above are numerous and are expected to increase in number and in complexity in the future.

量化风险管理是金融工具包的关键组成部分，旨在帮助保险公司维持稳健的财务状况。与特定保险业务相关的风险的适当量化需要使用复杂的数学模型，其中包含可能影响（以直接或间接方式）保险公司索赔体验的多种因素。 在过去的十年中随着数学工具的发展和计算能力的进步，可以对更复杂的数学模型进行定量分析，从而产生一系列更现实的流程，可供保险界更好地了解与其业务相关的风险。在可用的定量风险度量中，有与破产事件相关的不同数量，其中破产被定义为当保险公司没有足够的资本来履行其财务义务时发生破产。事实上，破产可能发生的时间、破产时预计可用的资金数额以及破产发生时和如果破产发生时预期的短缺只是几个例子。我提出的研究包括根据上述保险公司感兴趣的数量来检查这些复杂的数学模型。执行上述分析所需的数学概念很多，并且预计未来数量和复杂性都会增加。