Perpetuity Immediate Present Value Calculator
Levelinfiniteperpetuity immediatefirstpaymentperiod1,actualconstantpositiveinterest/no mortaltail. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
A perpetuity-immediate pays the same amount at the end of every period indefinitely.
A perpetuity-immediate pays the same amount at the end of every period indefinitely.1
This calculator discounts that ideal stream at a constant positive effective period interest rate, with the first payment one period from now.
When to use Perpetuity Immediate Present Value Calculator
Use this tool to apply the stated perpetuity immediate present value calculator operation with an explicit input and unit basis.
How to use Perpetuity Immediate Present Value Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualLevelPeriodicPayment, actualPositiveEffectivePeriodInterest 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 |
|---|---|---|---|
| actualLevelPeriodicPayment | Level Periodic Payment. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
| actualPositiveEffectivePeriodInterest | Positive Effective Period Interest. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; strictly positive; further conditions in the algorithm |
Require nonnegative payment and strictly positive effective period interest i. Divide payment by i; a zero or negative interest rate is rejected because this branch assumes a convergent positive-rate perpetuity.
PV = payment/i Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.value | Present value in the periodic payment unit. | number |
{
"input": {
"actualLevelPeriodicPayment": 1,
"actualPositiveEffectivePeriodInterest": 0.5
},
"output": {
"result": {
"value": 2
}
}
}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 Perpetuity Due Present Value Calculator. A perpetuity-due makes its first constant payment immediately and continues at period beginnings indefinitely.
For a related operation, use Annuity Immediate Present Value Calculator. An annuity-immediate makes equal payments at the ends of successive periods.
References
Similar or alternative tools
- Perpetuity Due Present Value Calculator
A perpetuity-due makes its first constant payment immediately and continues at period beginnings indefinitely.
- Annuity Immediate Present Value Calculator
An annuity-immediate makes equal payments at the ends of successive periods.