Excel Functions in EAC ToolsExcel Functions in EAC Tools\Commutation functionsCommutation functions\Lxy, Pxy, Qxy

Lxy, Pxy, Qxy

Lxy, Pxy, Qxy return a mortality table function value at joint age 𝑥:𝑦. These functions all share the same syntax:

In practice, the constant 𝑘 is generally taken to be some power of , so that  is not such a large number. For the purposes of this add-in, we use .

Syntax

Lxy(AgeX, AgeY, MortalityTableX, [MortalityTableY], [IssueAge])
Pxy(AgeX, AgeY, MortalityTableX, [MortalityTableY], [IssueAge])
Qxy(AgeX, AgeY, MortalityTableX, [MortalityTableY], [IssueAge])

Parameter Name

Description

AgeX

Current age of the primary annuitant 𝑥 (i.e. the age at the valuation date). May be provided as an integer, or as a fractional amount (e.g. years & months).

AgeY

Current age of the secondary annuitant 𝑦 (i.e. the age at the valuation date). May be provided as an integer, or as a fractional amount (e.g. years & months).

MortalityTableX

Mortality table definition text string for primary annuitant 𝑥.

MortalityTableY

Mortality table definition text string for secondary annuitant 𝑦.
Optional, default = MortalityTableX.

IssueAge

If using generational mortality projection, age at issue.
Optional, default = AgeX.