Commutation Function Nx Calculator

CommutationN_x=Σk≥xD_k,independentlycompleteactualtailprovided,no mortalitytableinvented. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.

Description

The actuarial N commutation function sums survivor commutation values from the current age onward.

The actuarial N commutation function sums survivor commutation values from the current age onward.^[1]

This calculator uses a supplied matched Dx tail and cannot detect omitted later ages.

When to use Commutation Function Nx Calculator

Use this tool to apply the stated commutation function nx calculator operation with an explicit input and unit basis.

How to use Commutation Function Nx Calculator and how it works

Establish the measurement basis and units described above.
Enter actualMatchedDxFromXOnward and run the tool.
Read result.commutationNx 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
actualMatchedDxFromXOnward	Matched Dx 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 nonnegative Dx list and sum all supplied entries. Keep the life-table radix, interest convention and current-age position consistent outside the tool.

Nx = Dx + D(x+1) + D(x+2) + …

Apply the declared units, ordering and branch conditions.

Output field	Meaning	Value type
result	Object containing the declared output fields.	object
result.commutationNx	Sum of the supplied complete matched Dx tail, on its scale.	number

json

{
  "input": {
    "actualMatchedDxFromXOnward": [
      10,
      5,
      2
    ]
  },
  "output": {
    "result": {
      "commutationNx": 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 Dx Calculator. The survivor commutation value Dx combines an attained-age discount power with a life-table survivor count.

For a related operation, use Commutation Function Mx Calculator. The actuarial M commutation function sums death commutation values from the current age onward.

References

Commutation Function Nx Calculator — tool.io

Similar or alternative tools

Commutation Function Dx Calculator
The survivor commutation value Dx combines an attained-age discount power with a life-table survivor count.
Commutation Function Mx Calculator
The actuarial M commutation function sums death commutation values from the current age onward.