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Erschienen in: European Actuarial Journal 2/2011

01.07.2011 | Original Research Paper

Select birth cohorts

verfasst von: Richard MacMinn, Frederik Weber

Erschienen in: European Actuarial Journal | Sonderheft 2/2011

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Abstract

Worldwide demographic changes and their implications for governments, corporations, and individuals have been in the focus of public interest for quite some time due to the fiscal risk related to adequate retirement benefits. Through a more detailed analysis of mortality data an additional type of risk can be identified: differences in mortality improvements by birth year, also known as “cohort effects.” Previous contributions have, however, not formalized a suitable measure to further investigate mortality improvements but rather relied on graphical representations without particular focus on individual cohorts but groups of the overall population. No criterion to identify single birth year cohorts as select has been established. A simple criterion for identifying select cohorts is proposed and used here to analyze what country mortality data reveals about the mortality and longevity experience of cohorts. Select cohorts are rare but can be quite different from surrounding cohorts and so may generate financial risks that need to be hedged naturally or artificially with new ART instruments.

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Fußnoten
1
See for instance Gallop [3] or Wilmoth [12].
 
2
Note that only positive values are plotted in grey shades, the darker spots indicating stronger improvements.
 
3
See Willets et al. [11].
 
4
See e.g. Bowers et al. [1] for a definition of these actuarial measures, the underlying models, and their interrelationship.
 
5
See Gallop [3].
 
6
Note that lack of observed data may prevent comparisons between cohorts for all ages. We also abstain from identifying cohorts as “select” if comparisons between cohorts are possible only at less than 10 years of age.
 
7
By discarding young ages below 25 we neglect infant, childhood, and teenage mortality (or changes therein) which might be subject to instantaneous influences. For ages beyond 100 data is usually only very sparse rendering potential conclusions quite vague. We have refrained from drawing conclusions when the data is too sparse.
 
8
The HMD is an online collection of data assembled jointly by the University of California at Berkeley and by the Max Planck Institute for Demographic Research in Rostock, Germany (http://​www.​mortality.​org/​)
 
9
As a caveat we note that the years covered by country data sets varied greatly, It was relatively easy for countries such as France to produce many cohorts because of the many years of data while low Dutch cohort numbers are surprising for the same reason and the Japanese cohorts numbers are surprising because of the few years of data.
 
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Metadaten
Titel
Select birth cohorts
verfasst von
Richard MacMinn
Frederik Weber
Publikationsdatum
01.07.2011
Verlag
Springer-Verlag
Erschienen in
European Actuarial Journal / Ausgabe Sonderheft 2/2011
Print ISSN: 2190-9733
Elektronische ISSN: 2190-9741
DOI
https://doi.org/10.1007/s13385-011-0027-z

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