Total Decrement Rate Calculator
Combine independent causes of decrement into the total probability of leaving active status during the year.
Description
Combine independent causes of decrement into the total probability of leaving active status during the year.
Total Decrement Rate Calculator provides a focused, reproducible calculation with explicit inputs and a deterministic result. Combine independent causes of decrement into the total probability of leaving active status during the year.
Use to combine independent annual decrement probabilities into the probability of at least one exit.
When to use Total Decrement Rate Calculator
Use to combine independent annual decrement probabilities into the probability of at least one exit.1
How the calculation works
Combine independent causes of decrement into the total probability of leaving active status during the year.2
qtotal = 1 − ∏j(1−q′j) 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 product assumes independence and does not allocate the total among competing causes.
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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