Deferred Annuity Present Value Calculator
Actual Deferred Annuity 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
A deferred annuity postpones a finite stream of equal end-of-period payments.
A deferred annuity postpones a finite stream of equal end-of-period payments.1
This calculator treats deferral as extra whole discount periods, so the first payment occurs at deferral plus one.
When to use Deferred Annuity Present Value Calculator
Use this tool to apply the stated deferred annuity present value calculator operation with an explicit input and unit basis.
How to use Deferred Annuity Present Value Calculator and how it works
- Establish the measurement basis and units described above.
- Enter actualEffectivePeriodInterest, actualPaymentCount, actualFirstPaymentAmount, actualDeferralPeriods 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 |
| actualDeferralPeriods | Deferral Periods. Units, ordering and applicable branch are specified in the algorithm. | number | required; finite; integer from 0 to 10000; further conditions in the algorithm |
Require i>−1, nonnegative payment P and integer count and deferral each 0–10,000. Sum P/(1+i)^(k+1+m) for k=0 through n−1; no mortality or conditional benefit is included.
PV = sum from k=0 to n−1 of P/(1+i)^(k+1+deferral) 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,
"actualDeferralPeriods": 2
},
"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 Annuity Immediate Present Value Calculator. An annuity-immediate makes equal payments at the ends of successive periods.
For a related operation, use Annuity Due Present Value Calculator. An annuity-due makes equal payments at the beginnings of successive periods.
References
Similar or alternative tools
- Annuity Immediate Present Value Calculator
An annuity-immediate makes equal payments at the ends of successive periods.
- Annuity Due Present Value Calculator
An annuity-due makes equal payments at the beginnings of successive periods.