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Annuity Present Value Calculator — result sheet
Calculate the present value of equal future payments under a constant periodic discount rate.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: PV = P(1−(1+r)^−n)/r, with a zero-rate limit of Pn.
Each equal payment is discounted at the derived periodic rate and combined into one present-value estimate.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Periodic payment — currency; minimum 0; maximum 1000000000
- Annual discount rate — %; minimum -99.999999; maximum 1000
- Payments per year — minimum 1; maximum 366
- Payment term — years; minimum 0; maximum 1000
Worked example
| Input | Value |
|---|---|
| Periodic payment | 500 |
| Annual discount rate | 6 |
| Payments per year | 12 |
| Payment term | 10 |
Present value is approximately 44,093 currency units.
Assumptions and limits
- Payment is nonnegative, periods and years are nonnegative, and the periodic rate is constant.
- Payments occur at period end and there are no fees, taxes, inflation, or skipped payments.
- Market pricing, credit risk, and suitability are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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