A general framework for analysing the mortality experience of a large portfolio of lives: with an application to the UK universities superannuation scheme

IF 0.8 Q4 BUSINESS, FINANCE European Actuarial Journal Pub Date : 2022-04-29 DOI:10.1007/s13385-022-00309-1
Andrew J. G. Cairns, David Blake, Kevin Dowd, Guy D. Coughlan, Owen Jones, Jeffrey Rowney
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Abstract

We propose a general framework that can be used to analyse the mortality experience of a large portfolio of lives. The objective of the framework is to provide a firm evidence base to support the setting of future mortality assumptions for the portfolio as a whole or subgroup-by-subgroup. The framework is developed in tandem with an analysis of the mortality of pensioners in the Universities Superannuation Scheme (USS), the largest funded pension scheme in the UK and one with a highly educated and very homogeneous membership. The USS experience was compared with English mortality subdivided into deprivation deciles using the Index of Multiple Deprivation (IMD). USS was found to have significantly lower mortality rates than even IMD-10 (the least deprived of the English deciles), but with similar mortality improvement rates to that decile over the period 2005–2016. Higher pensions were found to predict lower mortality, but only weakly so, and only for persons who retired on the first day of a month (mostly from active service). We found that other potential covariates derived from an individual’s post/zip code (geographical region and the IMD associated with their local area) typically had no explanatory power. This lack of dependence is an important conclusion of the USS-specific analysis and contrasts with others that consider the mortality of more heterogeneous scheme memberships. Although the key findings are likely to be particular to USS, we argue that our analytical framework will be useful for other large pension schemes and life annuity providers.

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分析大量生命组合的死亡经验的一般框架:以英国大学退休金计划为例
我们提出了一个可用于分析大量生命组合的死亡经验的一般框架。该框架的目标是提供一个坚实的证据基础,以支持为整个组合或逐个子组设定未来死亡率假设。该框架是与对大学养老金计划(USS)中养老金领取者死亡率的分析一起制定的,该计划是英国最大的资助养老金计划,具有高学历和非常同质的成员。使用多重剥夺指数(IMD)将美国的经验与英国的死亡率细分为剥夺十分位数进行比较。研究发现,美国的死亡率甚至明显低于IMD-10(英国十分位数中最贫困的),但在2005年至2016年期间,其死亡率改善率与该十分位数相似。研究发现,较高的养恤金预示着较低的死亡率,但作用微弱,而且只适用于每月第一天退休的人(主要是现役军人)。我们发现,从个人的邮政/邮政编码(地理区域和与其所在地区相关的IMD)衍生的其他潜在协变量通常没有解释力。这种依赖性的缺乏是美国特定分析的一个重要结论,并与其他考虑更多异质计划成员死亡率的分析进行了对比。尽管关键发现可能是USS特有的,但我们认为,我们的分析框架将对其他大型养老金计划和终身年金提供商有用。
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来源期刊
European Actuarial Journal
European Actuarial Journal BUSINESS, FINANCE-
CiteScore
2.30
自引率
8.30%
发文量
35
期刊介绍: Actuarial science and actuarial finance deal with the study, modeling and managing of insurance and related financial risks for which stochastic models and statistical methods are available. Topics include classical actuarial mathematics such as life and non-life insurance, pension funds, reinsurance, and also more recent areas of interest such as risk management, asset-and-liability management, solvency, catastrophe modeling, systematic changes in risk parameters, longevity, etc. EAJ is designed for the promotion and development of actuarial science and actuarial finance. For this, we publish original actuarial research papers, either theoretical or applied, with innovative applications, as well as case studies on the evaluation and implementation of new mathematical methods in insurance and actuarial finance. We also welcome survey papers on topics of recent interest in the field. EAJ is the successor of six national actuarial journals, and particularly focuses on links between actuarial theory and practice. In order to serve as a platform for this exchange, we also welcome discussions (typically from practitioners, with a length of 1-3 pages) on published papers that highlight the application aspects of the discussed paper. Such discussions can also suggest modifications of the studied problem which are of particular interest to actuarial practice. Thus, they can serve as motivation for further studies.Finally, EAJ now also publishes ‘Letters’, which are short papers (up to 5 pages) that have academic and/or practical relevance and consist of e.g. an interesting idea, insight, clarification or observation of a cross-connection that deserves publication, but is shorter than a usual research article. A detailed description or proposition of a new relevant research question, short but curious mathematical results that deserve the attention of the actuarial community as well as novel applications of mathematical and actuarial concepts are equally welcome. Letter submissions will be reviewed within 6 weeks, so that they provide an opportunity to get good and pertinent ideas published quickly, while the same refereeing standards as for other submissions apply. Both academics and practitioners are encouraged to contribute to this new format. Authors are invited to submit their papers online via http://euaj.edmgr.com.
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