Joint Life Annuity EPV Calculator

Calculate the expected present value of an annuity-due that continues while both independent lives survive.

Description

Calculate the expected present value of an annuity-due that continues while both independent lives survive.

Joint Life Annuity EPV Calculator provides a focused, reproducible calculation with explicit inputs and a deterministic result. Calculate the expected present value of an annuity-due that continues while both independent lives survive.

Use for a level annuity-due payable only while two independent lives are both alive under constant annual mortality.

When to use Joint Life Annuity EPV Calculator

Use for a level annuity-due payable only while two independent lives are both alive under constant annual mortality.1

How the calculation works

Calculate the expected present value of an annuity-due that continues while both independent lives survive.

EPV = B / [1 − v p₁ p₂] 1

Inputs and interpretation

Keep every input on the same valuation, timing, unit, and assumption basis. Interpret the output at the precision supported by those inputs rather than treating extra decimal places as additional certainty.

Assumptions and limitations

Independence, constant rates, annual payments, and a perpetual term are simplifying assumptions; correlated lifetimes and changing mortality require a joint-life table.

References

  1. Supplementary Notes for Actuarial Mathematics for Life Contingent Risks — Society of Actuaries

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