PVJLX_WS calculates the present
value of a joint
life annuity with a
certain period based on assumptions for interest and
mortality for two lives 𝑥 and 𝑦.
The following simplifying assumptions are applied:
·
CommencementAge = CurrentAgeX
·
MortalityTableY = MortalityTableX
·
AgeSetbackX = 0
·
AgeSetbackY = 0
·
Frequency = 12 (monthly)
·
COLA = 0 (no COLA)
·
CalculationMethod = 1 (exact method)
·
NoPreRetMort = 0 (use pre-retirement
mortality)
·
AnnTiming = 0 (beginning of period)
·
StopAge =
None
Syntax
PVJLX_WS(FractionXY, FractionX,
FractionY, FractionN, CurrentAgeX, CurrentAgeY, InterestRate,
MortalityTableX, [YearsCertain], [Times12]
Parameter Name |
Description |
FractionXY |
The
fraction (e.g., 50% or .5) payable while both 𝑥 and 𝑦 are alive. |
FractionX |
The
fraction (e.g., 50% or .5) payable to 𝑥 after 𝑦 has died. |
FractionY |
The fraction
(e.g., 50% or .5) payable to 𝑦 after 𝑥
has died. |
FractionN |
The fraction
(e.g., 50% or .5) payable for the remainder (if any) of the
certain period after the death of both 𝑥 and
𝑦. |
CurrentAgeX |
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). |
CurrentAgeY |
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). |
InterestRate |
The interest rate(s) to discount future
payments to calculate the present value. May be a number, a percentage, a
text string, a named range, or reference to a range. ·
Rates
can be defined using these interest definitions. ·
Note:
A value that is greater than 25% (i.e. 0.25) will be divided by 100; e.g.
if you enter 2.75 it will be treated as .0275 or 2.75%. |
MortalityTableX |
Mortality
table definition text string for primary annuitant 𝑥. |
YearsCertain |
Number of years guaranteed payments. May
be an integer, or a factional amount (e.g. years & months). |
Times12 |
TRUE or FALSE. Multiply the resulting
factor by 12. |
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