论文标题
建模联合生活在家庭中
Modeling Joint Lives within Families
论文作者
论文摘要
家族史通常被视为保险公司申请人寿保险政策时要考虑的重要因素。在使用的地方,心血管疾病,癌症死亡或高血压和糖尿病家族史的家族史可能会导致更高的保费或根本没有覆盖范围。在本文中,我们使用大量(历史)数据来研究家庭内寿命之间的依赖性。如果长期以来在精算文学中研究了联合生活合同(在丈夫和妻子之间),那么对孩子和父母的依赖性知之甚少。我们使用法国的19世纪家族树说明了这些依赖性,并量化了年金计算中的含义。对于父母和孩子,我们观察到寿命之间的谦虚但显着的积极联系。给定有关父母的信息(例如,活着的父母人数),它对剩余的预期寿命,年金或整个人寿保险保证产生了不同的估计。使用有关祖父母的信息时,观察到类似但较弱的模式。
Family history is usually seen as a significant factor insurance companies look at when applying for a life insurance policy. Where it is used, family history of cardiovascular diseases, death by cancer, or family history of high blood pressure and diabetes could result in higher premiums or no coverage at all. In this article, we use massive (historical) data to study dependencies between life length within families. If joint life contracts (between a husband and a wife) have been long studied in actuarial literature, little is known about child and parents dependencies. We illustrate those dependencies using 19th century family trees in France, and quantify implications in annuities computations. For parents and children, we observe a modest but significant positive association between life lengths. It yields different estimates for remaining life expectancy, present values of annuities, or whole life insurance guarantee, given information about the parents (such as the number of parents alive). A similar but weaker pattern is observed when using information on grandparents.