pT.calculateTotalMortality {MortalityTables}

Calculate the total mortality of the pension table

Description

The function pT.calculateTotalMortality calculates the overall mortality from the mortality of actives and disabled

Usage

pT.calculateTotalMortality(object, ...)

pT.recalculateTotalMortality(object, ...)

Arguments

object

a pensionTable object

...

(unused)

Details

Since a pension tables describes mortalities of actives and of disabled separately, the overall mortality is a function of these two. The function pT.calculateTortalMortality calculates this overall mortality in a way that is consistent with the individual transition probabilities of the pension table.

In particular, the pension table describes the mortalities of the individual sub-populations of actives, disabled and old-age pensioners. The overall mortality is the mortality that results when one discards the additional information about the state and just observes deaths. Internally, the overall mortality is calculated by starting from 10,000 actives and applying the transition dynamics of the pension table to the sub-populations.

For a detailled description, see e.g. the documentation of the Austrian pension table AVÖ 2018-P or the German Heubeck Table DAV 2005-G.

Functions

• pT.recalculateTotalMortality(): Calculate the total mortality of a pension table and assign it to the qgx slot of that table.

References

R. Kainhofer, J. Hirz, A. Schubert. AVÖ 2018-P: Rechnungsgrundlagen für die Pensionsversicherung. Dokumentation der Pensionstafel. AVÖ-Arbeitskreis Rechnungsgrundlagen, 2008. https://avoe.at/rechnungsgrundlagen/pensionskassen/