Commutation Function Mx Calculator
CommutationM_x=Σk≥xC_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 M commutation function sums death commutation values from the current age onward.
The actuarial M commutation function sums death commutation values from the current age onward.1
This tool totals a caller-supplied matched Cx tail rather than deriving death counts or discount factors.
When to use Commutation Function Mx Calculator
Use this tool to apply the stated commutation function mx calculator operation with an explicit input and unit basis.
How to use Commutation Function Mx 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 Cx values and sum it. An incomplete tail still sums successfully, so completeness and age alignment must be independently established.
Mx = Cx + C(x+1) + C(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": 17
}
}
}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 Rx Calculator. The actuarial R commutation function is an increasing weighted tail sum of death commutation values.
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 Mx Calculator — tool.io
Similar or alternative tools
- Commutation Function Rx Calculator
The actuarial R commutation function is an increasing weighted tail sum of death commutation values.
- Commutation Function Cx Calculator
The death commutation value Cx discounts interval deaths to the end of the age interval.