Last Survivor Expectation Identity Calculator
Calculate the last survivor life expectancy using the identity that combines both single-life expectancies minus the joint life expectancy.
Description
Calculate the last survivor life expectancy using the identity that combines both single-life expectancies minus the joint life expectancy.
Last Survivor Expectation Identity Calculator provides a focused, reproducible calculation with explicit inputs and a deterministic result. Calculate the last survivor life expectancy using the identity that combines both single-life expectancies minus the joint life expectancy.
Use to calculate complete time until the second death under independent constant forces.
When to use Last Survivor Expectation Identity Calculator
Use to calculate complete time until the second death under independent constant forces.1
How the calculation works
Calculate the last survivor life expectancy using the identity that combines both single-life expectancies minus the joint life expectancy.2
E[max(T₁,T₂)] = 1/μ₁ + 1/μ₂ − 1/(μ₁+μ₂) 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.
Limitations and assumptions
If either modeled life has zero mortality the expectation is infinite; the closed form does not model age-dependent or correlated lifetimes.
References
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Supplementary Notes for Actuarial Mathematics for Life Contingent Risks — Society of Actuaries
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Actuarial science — Wikipedia contributors
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