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Single-Sum Future Value Calculator — result sheet
Project one present amount forward with a stated annual rate, compounding frequency, and time period.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Future value = present value × (1 + annual rate ÷ 100 ÷ periods per year)^(periods per year × years).
This is the single-deposit compound-growth model. It keeps the periodic rate and total number of compounding periods visible so a visitor can distinguish one lump sum from a stream of deposits.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Present amount — currency units; minimum 0; maximum 1000000000000000
- Annual interest or growth rate — %; minimum -99.999999; maximum 1000
- Compounding periods per year — periods / year; minimum 1; maximum 366
- Time — years; minimum 0; maximum 1000
Worked example
| Input | Value |
|---|---|
| Present amount | 1000 |
| Annual interest or growth rate | 6 |
| Compounding periods per year | 12 |
| Time | 10 |
A 1,000-unit deposit at 6% nominal annual growth compounded monthly becomes about 1,819.396 units after 10 years.
Assumptions and limits
- The entered annual rate is nominal and is divided evenly across the entered periods.
- The rate remains constant for the entire modeled period.
- The present amount is invested or grows once at the start of the period.
- No deposits, withdrawals, taxes, fees, penalties, or currency conversion are included.
- A rate below negative 100 percent is rejected because the periodic base would not remain valid.
- Fractional years are modeled as a fractional number of periodic compounding intervals.
- The result is a mathematical scenario and not a promise of investment performance.
- Inflation and purchasing power are outside this nominal-value calculation.
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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