Excel Functions in EAC ToolsExcel Functions in EAC Tools\Joint life functionsJoint life functions\PVJL3

PVJL3

PVJL3 calculates the present value of a joint life annuity based on assumptions for interest and mortality for three lives 𝑥, 𝑦, and 𝑧. Payments stop at the first death. This is a simplified function:

·        The only annuity option is “joint life”, i.e., payments stop at the first death.

·        Cannot be deferred commencemen.t

·        Ages must be whole numbers.

·        No years certain.

·        No COLA

·        CalculationMethod = 0

·        No StopAge

·        AnnTiming = 0

Syntax

PVJL3 (AnnuityCode, CurrentAgeX, CurrentAgeY, CurrentAgeZ, InterestRate, MortalityTableX, [MortalityTableY] , [MortalityTableZ])

Parameter Name

Description

CurrentAgeX

Current age of the primary annuitant 𝑥 (i.e. the age at the valuation date). Must be an integer.

CurrentAgeY

Current age of the secondary annuitant 𝑦 (i.e. the age at the valuation date). Must be an integer.

CurrentAgeZ

Current age of the third annuitant 𝑧 (i.e. the age at the valuation date). Must be an integer.

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.

MortalityTableY

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

MortalityTableZ

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

Frequency

Number of payments per year:
Optional, default = 12

Frequency

Description

1

annual

2

semi-annual

4

quarterly

6

bi-monthly

12

monthly

99

continuous