Commutation Function Rx Calculator
CommutationR_x=Σk≥x(k−x+1)C_k=ΣM_k,actualcompleteCxsequence. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
The actuarial R commutation function is an increasing weighted tail sum of death commutation values.
The actuarial R commutation function is an increasing weighted tail sum of death commutation values.1
This tool assumes the caller provides the complete, matched Cx tail beginning at the valuation age rather than reconstructing it from mortality and interest.
When to use Commutation Function Rx Calculator
Use this tool to apply the stated commutation function rx calculator operation with an explicit input and unit basis.
How to use Commutation Function Rx Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualMatchedCxFromXOnward and run the tool.
- Read result.commutationValue 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 |
|---|---|---|---|
| actualMatchedCxFromXOnward | Matched Cx From XOnward. Units, ordering and applicable branch are specified in the algorithm. | array of number | required; dense; align related rows as specified; further conditions in the algorithm |
Require a nonempty list of nonnegative C values and multiply successive entries by 1,2,3 and so on before summing. Tail completeness, discount convention and age alignment are caller responsibilities.
Rx = Cx + 2C(x+1) + 3C(x+2) + … Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.commutationValue | Sum or weighted sum of the supplied complete matched Cx tail, on its scale. | number |
{
"input": {
"actualMatchedCxFromXOnward": [
10,
5,
2
]
},
"output": {
"result": {
"commutationValue": 26
}
}
}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 Commutation Function Mx Calculator. The actuarial M commutation function sums death commutation values from the current age onward.
For a related operation, use Commutation Function Cx Calculator. The death commutation value Cx discounts interval deaths to the end of the age interval.
References
-
Commutation Function Rx Calculator — tool.io
Similar or alternative tools
- Commutation Function Mx Calculator
The actuarial M commutation function sums death commutation values from the current age onward.
- Commutation Function Cx Calculator
The death commutation value Cx discounts interval deaths to the end of the age interval.