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Present Value of a Future Sum — result sheet
Discount a future amount back to today at a constant annual rate.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: PV = FV / (1 + r)^years.
A future sum is worth less today because money can grow over time. Dividing by the growth factor reverses compounding; the discount amount is the future sum minus present value.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Future amount — minimum 0; maximum 1000000000000
- Annual discount rate — %; minimum -50; maximum 100
- Years until receipt — years; Fractional years are used exactly.; minimum 0; maximum 100
Worked example
| Input | Value |
|---|---|
| Future amount | 10000 |
| Annual discount rate | 5 |
| Years until receipt | 10 |
Present value: 6139.13; discount: 3860.87.
Assumptions and limits
- One constant annual rate with annual compounding.
- Fractional years used exactly; no day-count convention.
- One consistent currency; taxes and risk adjustments excluded.
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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