Deferred Mortality Probability Calculator
Actualdeferreddeathsurvivefirstmthen dieinnconditionalannualtable,nopayoutdiscountor deferredtermEPV. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
A deferred mortality probability covers survival through a waiting period followed by death within a later coverage period.
A deferred mortality probability covers survival through a waiting period followed by death within a later coverage period.1
This calculator combines successive annual qx factors and does not discount a benefit or price insurance.
When to use Deferred Mortality Probability Calculator
Use this tool to apply the stated deferred mortality probability calculator operation with an explicit input and unit basis.
How to use Deferred Mortality Probability Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualAnnualQx, actualDeferralYears, actualCoverageYears and run the tool.
- Read result.deferredDeathProbability using the output meanings below.
- If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualAnnualQx | Nonempty sequence of conditional annual death probabilities in attained-age order. | array of number | required; dense; align related rows as specified; further conditions in the algorithm |
| actualDeferralYears | Deferral Years. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; further conditions in the algorithm |
| actualCoverageYears | Coverage Years. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; integer from 1 to actualAnnualQx.length; further conditions in the algorithm |
Require a nonempty valid qx table, integer deferral m≥0, positive integer coverage n and m+n within table length. Multiply survival through the first m intervals by one minus survival across the next n intervals.
deferred death probability = mpx × (1−n p at age x+m) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.deferredDeathProbability | Probability of survival through deferral and death during coverage. | number |
{
"input": {
"actualAnnualQx": [
0.1,
0.2,
0.5
],
"actualDeferralYears": 1,
"actualCoverageYears": 2
},
"output": {
"result": {
"deferredDeathProbability": 0.5400000000000001
}
}
}Limitations and assumptions
The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.
Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A returned boolean, signed difference or tied result follows the stated convention; an input error instead means the required input contract was not satisfied. Very large inputs or outputs may be rejected by shared resource limits.
Alternative or Complementary methods
For a related operation, use Multi-Year Death Probability tQx Calculator. A multi-year death probability is the complement of survival through successive conditional annual mortality intervals.
For a related operation, use Multi-Year Survival Probability tPx Calculator. Multi-year survival combines conditional annual survival probabilities along an attained-age path.
References
Similar or alternative tools
- Multi-Year Death Probability tQx Calculator
A multi-year death probability is the complement of survival through successive conditional annual mortality intervals.
- Multi-Year Survival Probability tPx Calculator
Multi-year survival combines conditional annual survival probabilities along an attained-age path.