Joint Life Expectation Calculator
Calculate the complete expected lifetime of the joint status of two independent lives under constant forces of mortality derived from annual death probabilities.
Description
Calculate the complete expected lifetime of the joint status of two independent lives under constant forces of mortality derived from annual death probabilities.
Joint Life Expectation Calculator provides a focused, reproducible calculation with explicit inputs and a deterministic result. Calculate the complete expected lifetime of the joint status of two independent lives under constant forces of mortality derived from annual death probabilities.
Use to estimate complete years until the first death under independent constant forces derived from annual death probabilities.
When to use Joint Life Expectation Calculator
Use to estimate complete years until the first death under independent constant forces derived from annual death probabilities.1
How the calculation works
Calculate the complete expected lifetime of the joint status of two independent lives under constant forces of mortality derived from annual death probabilities.2
E[Tfirst] = 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
The result is a continuous complete expectation, not a curtate lifetime, and becomes infinite when both forces are zero.
References
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Supplementary Notes for Actuarial Mathematics for Life Contingent Risks — Society of Actuaries
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Actuarial present value — Wikipedia contributors
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