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In Macdonald & Richards (2024), Angus and I continue our long-standing advocacy for using individual records for mortality analysis, rather than grouped counts of lives. One argument in our paper is that the individual life is the most irreducible unit of observation in mortality analysis. After all, any group can be disaggregated into individuals, but further subdivision would just be dismemberment.
Real-time decision making
In a previous blog I looked at how continuous-time methods can provide real-time management information. In that example we tracked the (almost daily) development of the mortality of two tranches of new annuities, as shown again in Figure 1.
Figure 1. Cumulative hazard, \(\hat\Lambda(t)\), for new annuities written by French insurer. Source: Richards and Macdonald (2024).
The actuarial data onion
Actuaries tasked with analysing a portfolio's mortality experience face a gap between what has happened in the outside world and the data they actually work with. The various difference levels are depicted in Figure 1.
Figure 1. The actuarial data onion.