Annuity Immediate Present Value Calculator
Actual Annuity Immediate Present Value Calculatorexplicitcashflowtimingperiods;unitpaymentbaseincludingdeclaredincreasing/decreasing/geometricweights,no embeddedmortality/contractpolicy. Actual independently applicable qualified life-table/model/rate assumptions,not a diagnosis,individual death prediction,published mortalitytable,contractquote or guaranteed financialresult.
Description
An annuity-immediate makes equal payments at the ends of successive periods.
An annuity-immediate makes equal payments at the ends of successive periods.1
This finite-stream calculator uses a constant effective period interest rate and excludes mortality, tax and contract-specific features.
When to use Annuity Immediate Present Value Calculator
Use this tool to apply the stated annuity immediate present value calculator operation with an explicit input and unit basis.
How to use Annuity Immediate Present Value Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualEffectivePeriodInterest, actualPaymentCount, actualFirstPaymentAmount and run the tool.
- Read result.presentValue 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 |
|---|---|---|---|
| actualEffectivePeriodInterest | Effective interest fraction for the payment period; greater than −1. | number | required; finite; further conditions in the algorithm |
| actualPaymentCount | Number of payments; integer 0–10,000. | number | required; finite; integer from 0 to 10000; further conditions in the algorithm |
| actualFirstPaymentAmount | Payment amount or progression base as explicitly defined by this tool’s algorithm. | number | required; finite; nonnegative; further conditions in the algorithm |
Require i>−1, nonnegative payment P and integer payment count 0–10,000. Sum P/(1+i)^(k+1) for k=0…n−1; zero count returns zero and zero interest gives nP.
PV = sum from k=0 to n−1 of P/(1+i)^(k+1) Apply the declared units, ordering and branch conditions.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the declared output fields. | object |
| result.presentValue | Discounted payment-stream total in the input payment unit. | number |
{
"input": {
"actualEffectivePeriodInterest": 0,
"actualPaymentCount": 3,
"actualFirstPaymentAmount": 1
},
"output": {
"result": {
"presentValue": 3
}
}
}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 Immediate Present Value Calculator. A perpetuity-immediate pays the same amount at the end of every period indefinitely.
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.
References
Similar or alternative tools
- Perpetuity Immediate Present Value Calculator
A perpetuity-immediate pays the same amount at the end of every period indefinitely.
- Perpetuity Due Present Value Calculator
A perpetuity-due makes its first constant payment immediately and continues at period beginnings indefinitely.