Accumulation Factor Calculator
Actualconstantforceaccumulatione^(δt),not selectinterestforecast Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
A constant force of interest models continuous compounding at an unchanged rate.
A constant force of interest models continuous compounding at an unchanged rate.1
This calculator gives the accumulation multiplier over a nonnegative number of years, with the force supplied on an annual basis.
When to use Accumulation Factor Calculator
Use this tool to apply the stated accumulation factor calculator operation with an explicit input and unit basis.
How to use Accumulation Factor Calculator and how it works
- Establish the measurement basis and units described above.
- Enter callerActualConstantForceOfInterest, actualYears and run the tool.
- Read result.value 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 |
|---|---|---|---|
| callerActualConstantForceOfInterest | Constant Force Of Interest. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; further conditions in the algorithm |
| actualYears | Years. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
Require finite force δ and nonnegative years t. Compute exp(δt), rejecting nonfinite overflow and underflow to exactly zero; t=0 yields one for ordinary finite products.
accumulationFactor = exp(δ × years) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Dimensionless constant-force accumulation multiplier. | number |
{
"input": {
"callerActualConstantForceOfInterest": 1,
"actualYears": 1
},
"output": {
"result": {
"value": 2.718281828459045
}
}
}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 Force of Interest Delta Calculator. The force of interest is the continuously compounded rate equivalent to an effective period interest rate.
For a related operation, use Discount Factor V Power N Calculator. Discounting moves a future unit amount back to the valuation date at a constant effective period rate.
References
-
Accumulation Factor Calculator — tool.io
Similar or alternative tools
- Force of Interest Delta Calculator
The force of interest is the continuously compounded rate equivalent to an effective period interest rate.
- Discount Factor V Power N Calculator
Discounting moves a future unit amount back to the valuation date at a constant effective period rate.