PVJLX calculates the present value of a joint life annuity based on assumptions for interest and mortality for two lives 𝑥 and 𝑦.
Syntax
PVJLX(FractionXY, FractionX, FractionY,
CurrentAgeX, CurrentAgeY, CommencementAge, InterestRate, MortalityTableX,
[MortalityTableY], [YearsCertain], [AgeSetbackX], [AgeSetbackY], [Frequency],
[COLA], [CalculationMethod], [NoPreRetMort], [StopAge], [AnnTiming],
[YrsCertOption]
Parameter Name |
Description |
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FractionXY |
The
fraction (e.g., 50% or .5) payable while both 𝑥 and 𝑦 are alive. |
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FractionX |
The
fraction (e.g., 50% or .5) payable to 𝑥 after 𝑦 has died. |
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FractionY |
The fraction
(e.g., 50% or .5) payable to 𝑦 after 𝑥
has died. |
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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). |
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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). |
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CommencementAge |
Age of primary annuitant 𝑥 at benefit commencement. ·
If CommencementAge >
CurrentAgeX then it will be valued as a deferred annuity. ·
If CommencementAge
is missing or zero, then CommencementAge is assumed to be = CurrentAgeX
and it will be valued as an immediate annuity |
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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%. |
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MortalityTableX |
Mortality
table definition text string for primary annuitant 𝑥. |
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MortalityTableY |
Mortality
table definition text string for secondary annuitant 𝑦. |
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YearsCertain |
Number of years guaranteed payments. May
be an integer, or a factional amount (e.g. years & months). |
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AgeSetbackX |
Mortality table age set-back for
primary annuitant 𝑥. A negative number is a set-forward. |
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AgeSetbackY |
Mortality table age set-back for
secondary annuitant 𝑦. A negative number is a set-forward. |
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Frequency |
Number of payments per year:
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COLA |
Periodic cost-of-living
adjustment applied to the benefit amount. |
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CalculationMethod |
Method of calculation
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NoPreRetMort |
The defines the application of
pre-retirement mortality for a deferred annuity.
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StopAge |
Age when the annuity benefit
stops -- no payment at this age. |
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AnnTiming |
Defines when the payments are
made in the period.
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YrsCertOption |
This is to select the method of
calculation for the certain portion of the annuity when using CalculationMethod
=0. It does not apply for other methods. This is used only if YearsCertain
not a whole number.
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