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Survival analysis of longitudinal data: the case of English population aged 50 and over 纵向资料的生存分析:以英国50岁及以上人口为例
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.3
Marjan Qazvini
Abstract This study considers data from 5 waves of the English Longitudinal Study of Ageing (ELSA). We aim to study the impact of demographic and self-rated health variables including disability and diseases on the survival of the population aged 50+. The disability variables that we consider are mobility impairment, difficulties in performing Activities of Daily Living (ADL) and Instrumental Activities of Daily Living (IADL). One of the problems with the survey study is missing observations. This may happen due to different reasons, such as errors, nonresponse and temporary withdrawals. We address this problem by applying single and multiple imputation methods. We then fit a Generalized Linear model (GLM) and Generalized Linear Mixed model (GLMM) to our data and show that a GLMM performs better than a GLM in terms of information criteria. We also look at the predictability of our models in terms of the time-dependent receiver operating characteristic (ROC) and the area of ROC, i.e. AUC. We conclude that among the disability factors, IADL and among the diseases, cancer significantly affect the survival of the English population aged 50 and older.
摘要本研究考虑了英国老龄化纵向研究(ELSA)的5波数据。我们的目的是研究人口统计学和自评健康变量(包括残疾和疾病)对50岁以上人群生存的影响。我们考虑的残疾变量是行动障碍、日常生活活动(ADL)和日常生活工具活动(IADL)的执行困难。调查研究的一个问题是缺少观察结果。这可能是由于不同的原因造成的,例如错误、未响应和临时提款。我们通过应用单一和多重插补方法来解决这个问题。然后,我们将广义线性模型(GLM)和广义线性混合模型(GLMM)拟合到我们的数据中,并表明在信息标准方面,GLMM比GLM表现得更好。我们还从与时间相关的受试者工作特性(ROC)和ROC面积(即AUC)的角度来研究我们模型的可预测性。我们得出的结论是,在残疾因素中,IADL和疾病中,癌症显著影响50岁及以上英国人口的生存。
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引用次数: 0
Counting the cost of inequality 计算不平等的成本
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.12
L. Mayhew
Abstract An ageing population increases pressure on health and social care, welfare payments and pensions in public funded systems. There is no simple measure linking population health to economic disadvantage or the resulting tax burden. We imagine a situation in which local areas are responsible for financing their own public services. We hypothesize a local tax is levied to cover healthcare costs, welfare benefits for those who are sick, and pensions. We partition the costs based on years spent in ill health, disability and pensionable years over the life course using the average costs per person per year for each. We argue that area differences in tax rates provide a summary measure of inequality since a higher tax burden would fall on areas least able to afford it. We show that a one year improvement in healthy life expectancy would add 4.5 months to life expectancy (LE) and 3.4 months to working lives whilst reducing taxes by around 0.5%. We cast doubt on the target to increase health expectancy by five years by 2035; however, were it to be achieved it would add 23 months to LE, 17 months to work expectancy and reduce taxes by 2.4%.
摘要人口老龄化增加了公共资助系统中医疗和社会护理、福利支付和养老金的压力。没有简单的措施将人口健康与经济劣势或由此产生的税收负担联系起来。我们设想的情况是,地方负责为自己的公共服务提供资金。我们假设征收地方税是为了支付医疗费用、病人福利和养老金。我们根据一生中健康不佳、残疾和可领取养老金的年份划分成本,使用每人每年的平均成本。我们认为,税率的地区差异提供了不平等的概括衡量标准,因为更高的税收负担将落在最无力负担的地区。我们表明,健康预期寿命提高一年,预期寿命将增加4.5个月,工作寿命将增加3.4个月,同时减税约0.5%。我们对到2035年将预期寿命提高五年的目标表示怀疑;然而,如果实现这一目标,LE将增加23个月,预期工作时间将增加17个月,税收将减少2.4%。
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引用次数: 0
Longevity risk and capital markets: the 2021–22 update 长寿风险和资本市场:2021-22年更新
4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.2
David Blake, Nicole El Karoui, Stéphane Loisel, Richard Macminn
Abstract This special issue of the Journal of Demographic Economics contains 10 contributions to the academic literature all dealing with longevity risk and capital markets. Draft versions of the papers were presented at Longevity 16: The Sixteenth International Longevity Risk and Capital Markets Solutions Conference that was held in Helsingør near Copenhagen on 13–14 August 2021. It was hosted by PerCent at Copenhagen Business School and the Pensions Institute at City, University of London.
本期《人口经济学杂志》特刊收录了10篇有关长寿风险和资本市场的学术文献。这些论文的草稿已于2021年8月13日至14日在哥本哈根附近的赫尔辛ør举行的第16届国际长寿风险和资本市场解决方案会议上提交。它是由哥本哈根商学院和伦敦城市大学养老金研究所主办的。
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引用次数: 1
Effect of the COVID-19 frailty heterogeneity on the future evolution of mortality by stratified weighting 分层加权法研究新冠肺炎虚弱异质性对未来死亡率演变的影响
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.4
Maria Carannante, V. D'Amato, S. Haberman
Abstract The starting point of our research is the inadequacy of assuming, in the construction of a model of mortality, that frailty is constant for the individuals comprising a demographic population. This assumption is implicitly made by standard life table techniques. The substantial differences in the individual susceptibility to specific causes of death lead to heterogeneity in frailty, and this can have a material effect on mortality models and projections—specifically a bias due to the underestimation of longevity improvements. Given these considerations, in order to overcome the misrepresentation of the future mortality evolution, we develop a stochastic model based on a stratification weighting mechanism, which takes into account heterogeneity in frailty. Furthermore, the stratified stochastic model has been adapted also to capture COVID-19 frailty heterogeneity, that is a frailty worsening due to the COVID-19 virus. Based on different frailty levels characterizing a population, which affect mortality differentials, the analysis allows for forecasting the temporary excess of deaths by the stratification schemes in a stochastic environment.
我们研究的出发点是,在构建死亡率模型时,假设脆弱对于组成人口统计人口的个体是恒定的,这是不充分的。标准生命表技术隐含了这个假设。个体对特定死亡原因的易感性的巨大差异导致了虚弱的异质性,这可能对死亡率模型和预测产生重大影响-特别是由于低估寿命改善而产生的偏差。考虑到这些因素,为了克服对未来死亡率演变的错误描述,我们建立了一个基于分层加权机制的随机模型,该模型考虑了脆弱性的异质性。此外,分层随机模型也被用于捕获COVID-19脆弱性异质性,即由于COVID-19病毒导致的脆弱性恶化。根据影响死亡率差异的人口特征的不同脆弱程度,该分析允许在随机环境中通过分层方案预测暂时超额死亡。
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引用次数: 1
Buy-ins, buy-outs, longevity bonds, and the creation of value 收购,收购,长寿债券,以及价值创造
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.7
R. MacMinn, Yi-Jia Lin, Tianxiang Shi
Abstract Longevity risk is the risk that people on average will live longer than expected. That potential increase in life expectancy exposes corporations and pension funds to the risk of having insufficient funds to pay a more extended stream of annuity benefits. Buy-ins, buy-outs, and longevity bonds provide pension funds with insurance and financial market instruments to hedge their longevity risk. The most straightforward instruments and the most robust markets are currently for buy-ins and buy-outs. The model developed here shows that these instruments transfer value to pension holders and, other things being equal, would not be used by firms since shareholder value is reduced. The analysis, however, also shows that these instruments can be used to solve the under-investment problem created by underfunded pension plans and so increase not only the pension fund value but also the corporate stock value.
长寿风险是指人们平均寿命超过预期的风险。预期寿命的潜在增长将使企业和养老基金面临资金不足的风险,无法支付更多的年金福利。买入、买断和长寿债券为养老基金提供了保险和金融市场工具,以对冲长寿风险。目前最直接的工具和最强劲的市场是买入和买断。这里开发的模型表明,这些工具将价值转移给养老金持有人,在其他条件相同的情况下,由于股东价值减少,公司不会使用这些工具。然而,分析也表明,这些工具可以用来解决养老金计划资金不足造成的投资不足问题,从而增加养老基金价值和公司股票价值。
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引用次数: 0
Accounting for COVID-19-type shocks in mortality modeling: a comparative study 死亡率模型中COVID-19型休克的解释:一项比较研究
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.9
Simon Schnürch, T. Kleinow, A. Wagner
Abstract Mortality shocks such as the one induced by the COVID-19 pandemic have substantial impact on mortality models. We describe how to deal with them in the period effect of the Lee–Carter model. The main idea is to not rely on the usual normal distribution assumption as it is not always justified. We consider a mixture distribution model based on the peaks-over-threshold method, a jump model, and a regime switching model and introduce a modified calibration procedure to account for the fact that varying amounts of data are necessary for calibrating different parts of these models. We perform an extensive empirical study for nine European countries, comparing the models with respect to their parameters, quality of fit, and forecasting performance. Moreover, we define five exemplary scenarios regarding the future development of pandemic-related mortality. As a result of our evaluations, we recommend the peaks-over-threshold approach for applications with a possibility of extreme mortality events.
摘要新冠肺炎大流行引发的死亡率冲击对死亡率模型产生了重大影响。我们描述了如何在李-卡特模型的时期效应中处理它们。主要思想是不要依赖于通常的正态分布假设,因为它并不总是合理的。我们考虑了一个基于峰值过阈值方法的混合分布模型、跳跃模型和状态切换模型,并引入了一个修改的校准程序,以说明校准这些模型的不同部分需要不同数量的数据。我们对九个欧洲国家进行了广泛的实证研究,比较了这些模型的参数、拟合质量和预测性能。此外,我们定义了五种与流行病相关死亡率未来发展有关的示范情景。根据我们的评估结果,我们建议对可能发生极端死亡事件的应用采用峰值超过阈值的方法。
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引用次数: 0
DEM volume 89 issue 3 Cover and Back matter DEM卷89第3期封面和封底
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.22
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引用次数: 0
A market consistent approach to the valuation of no-negative equity guarantees and equity release mortgages 无负资产担保和股权释放抵押贷款估值的市场一致性方法
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.6
D. Buckner, K. Dowd, H. Hulley
Abstract This paper provides a new market consistent approach to the valuation of no negative equity guarantees and equity release mortgages. The paper provides a new approach to the estimation of volatility inputs. The proposed approach to volatility produces a volatility term structure that is dependent on the age and gender of the borrower. Illustrative valuations are provided based on the Black ’76 put pricing formula and mortality projections based on the M5 Cairns–Blake–Dowd mortality model. Results show interesting ramifications for industry practice and prudential regulation.
摘要本文为无负资产担保和股权释放抵押贷款的估值提供了一种新的市场一致性方法。本文为波动性投入的估计提供了一种新的方法。拟议的波动性方法产生了一个波动性期限结构,该结构取决于借款人的年龄和性别。根据Black’76看跌期权定价公式和基于M5 Cairns–Blake–Dowd死亡率模型的死亡率预测提供了说明性估值。研究结果显示出对行业实践和审慎监管的有趣影响。
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引用次数: 0
Resilience in a time of crisis: how COVID-19 pandemic insights are supporting a vibrant longevity risk transfer market 危机时期的复原力:新冠肺炎疫情见解如何支持充满活力的长寿风险转移市场
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-08-10 DOI: 10.1017/dem.2023.5
Amy R. Kessler
Abstract Pension risk transfer and longevity risk transfer are now growing secular trends. From North America to Europe, companies are de-risking pension plans in near-record volumes and have continued to boldly do so throughout the pandemic—at or near the most favorable pricing experienced in years. The arrival of funded reinsurance on both sides of the Atlantic is bringing reinsurer capital and private assets to support the steady growth in the pension risk transfer market. Additionally, we have observed that the enduring low-rate environment and quest for uncorrelated risk has the world's largest investors directing billions into life reinsurance sidecars. How have these markets thrived during the worst global outbreak in a century? Key research on the pandemic's impact on pensioner life expectancy allowed prices to be set and transactions to proceed through a time of significant uncertainty.
摘要养老金风险转移和寿命风险转移目前呈长期增长趋势。从北美到欧洲,公司正在以接近创纪录的数量降低养老金计划的风险,并在整个疫情期间继续大胆地这样做——达到或接近多年来最优惠的定价。大西洋两岸资金再保险的到来为再保险人带来了资本和私人资产,以支持养老金风险转移市场的稳定增长。此外,我们观察到,持续的低利率环境和对不相关风险的追求使世界上最大的投资者将数十亿美元投入到人寿再保险侧车中。在一个世纪以来最严重的全球疫情期间,这些市场是如何繁荣的?关于疫情对养老金领取者预期寿命影响的关键研究使价格得以确定,交易得以在一个充满不确定性的时期进行。
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引用次数: 0
Gender composition in the workplace and marriage rates 职场性别构成和结婚率
IF 1.3 4区 经济学 Q3 DEMOGRAPHY Pub Date : 2023-07-21 DOI: 10.1017/dem.2023.20
Shiyi Chen
Theoretical models have ambiguous predictions on how workplace gender composition affects the incidence of marriage. Marital search theory suggests that having more opportunities for interactions between members of the opposite gender increases the likelihood of marriage. Yet, according to overload choice theory, people with more options could actually delay or forgo marriage if the increase in the number of choices makes it more difficult for them to make marriage decisions. I explore how changes in the gender composition within occupation and industry over the past 40 years affect marriage decisions. I find that a higher share of opposite gender coworkers within a person's occupation-industry is associated with a decreased likelihood of ever having been married.
理论模型对职场性别构成如何影响结婚率的预测并不明确。婚姻搜索理论认为,异性之间有更多的互动机会会增加结婚的可能性。然而,根据超载选择理论,如果选择数量的增加使他们更难做出婚姻决定,拥有更多选择的人实际上可能会推迟或放弃婚姻。我探讨了过去40年来职业和行业中性别构成的变化是如何影响婚姻决定的。我发现,在一个人的职业行业中,异性同事的比例越高,他结婚的可能性就越低。
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引用次数: 0
期刊
Journal of Demographic Economics
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