Measuring, modelling, and managing insurance risks

自2007-08年全球金融危机以来，金融机构和保险公司面临的风险与危机前相比越来越多，也越来越复杂。因此，现代风险管理迫切需要新的风险度量、模型和管理工具。定量风险管理（QRM）的一个重要方面是如何测量、建模和管理风险。研究表明，风险度量在保险和金融的质量风险管理中起着关键作用。 QRM的许多工具和技术都是基于风险度量的。在本研究计划中，我们从风险管理的角度提出了新的和实用的单变量和多变量风险度量，并开发了统一的方法来衡量保险公司的偿付能力风险。本文所提出的新的风险度量方法不仅可以为保险公司定价保险产品提供有效的解决方案，而且可以为监管机构确定合理的偿付能力资本要求提供有效的解决方案。此外，我们引入了新的模型，用于分析保险公司精算决策下的成本和/或损失，并考虑到更现实的特点，在建模保险风险。此外，为了管理保险风险，我们通过开发可行的最优分配方法和最优再保险方案，为保险公司提供先进的风险管理工具。最后，研究计划将提供许多具有挑战性的和重要的研究问题，为高素质人才（HQP）的培训。

Since the global financial crisis of 2007-08, financial institutions and insurance companies have been facing increasing and more complex risks if compared to the time before the crisis. Therefore, new risk measures, models, and management tools are pressingly needed for modern risk management. A crucial aspect in quantitative risk management (QRM) is how to measure, model, and manage risks. As research has shown, risk measures play a key role in QRM for insurance and finance. Many tools and techniques of QRM are based on risk measures. In this research program, we propose new and practical univariate and multivariate risk measures from the perspectives of risk management and develop unified methods to measure the solvency risks of insurance companies. The new risk measures developed from this study will provide effective solutions not only for insurance companies to price insurance products but also for regulators to determine reasonable solvency capital requirements. In addition, we introduce novel models for analyzing the costs and/or losses of insurance companies under actuarial decisions and take into consideration more realistic features in modelling insurance risks. Moreover, to manage insurance risks, we provide advanced tools of risk management for insurance companies by developing feasible optimal allocation methods and optimal reinsurance schemes. Finally, the research program will offer many challenging and important research problems for the purpose of highly qualified personnel (HQP) training.