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Commutation Functions

Under the Commutation Functions topic, you may define commutation functions for ProAdmin to generate.  You can select functions for (one or more of) the Primary Annuitant (the member, aged x), the Contingent Annuitant (the spouse or beneficiary, aged y), and during the joint lifetime of the member and spouse / beneficiary, Joint Life (ages are x and y, respectively, denoted in the Joint Life column as xy).

The following commutation functions are available:

D, where D is the common denominator of commutation functions;

N, where N is the annuity factor numerator under which one payment is made per payment year;

N(m), where N(m) is the annuity factor numerator and m is the Payment Frequency entered under the Mortality and Timing Parameters topic, for example, if m=12, then N(m) represents a monthly annuity factor numerator;

S, where S is the increasing annuity numerator;

C, where C is an insurance utility numerator;

M, where M is the sum of Cx's;

R, where R is the increasing insurance numerator, the sum of Mx's;

e, where e is the curtate life expectancy.