/

Help for MnPFDecrementTable

[this page | pdf | references | back links]

We set out below further information on the parameters used by MnPFDecrementTable.

 

The number of ‘status’ codes to be included in the decrement table is NumberStatusEntries. A status code might be. The aim of the decrement table is to characterise the proportion of scheme members (or to be more precise the proportion of their who have a given status at time  who will have moved to a different The decrement table (using yearly ages) contains MaxAge - MinAge +1 entries per ‘start’ status and per ‘end’ status, i.e. the array returned will have  entries. If individual who starts year in status  and ends year in status  is  then first  entries in output are decrement rates ´ decrement fractions applicable to individuals  starting with youngest (at age MinAge), next  are for , etc.

 

Table is then derived from 5 input arrays: DecrementAge and DecrementStatusCode indicate age and status at start of year (any age between MinAge and MaxAge, any status), DecrementRate and DecrementBecomesCode provide (annual) rate of switch from original status to new status over year and what the new status is (where new ≠ old). DecrementFraction is proportion of benefit that is retained if a status switch occurs.

 

Rates of staying with the same status are derived by combining together decrements that involve movements. This combining can be done arithmetically or geometrically. If for a given starting status  the movement (and fraction) to new status  are  (and ) (for a given age ) and there are  statuses) then the output is calculated as follows:

 

Arithmetic:

 

 

Geometric:

 

 

If  then:

 

If  then:

 

 


Desktop view | Switch to Mobile