Exponential Growth Calculator
Calculate the final value of a quantity growing at a fixed percentage rate over a number of periods.
- Free to use
- No registration required
- Works on all devices
- Last updated
- 12-09-2026
Your result
1,628.895
Final value
AI explanation
Formula
Final value = initial value × (1 + growth rate)^periodsWorked example
1000 growing at 5% for 10 periods
| Field | Value |
|---|---|
| Initial value | 1000 |
| Growth rate per period (%) | 5 |
| Number of periods | 10 |
| Final value | 1628.894627 |
| Total growth | 628.894627 |
Assumptions
- Uses discrete-period compounding (the same math as compound interest) — the growth rate applies once per period, not continuously.
Frequently asked questions
What is exponential growth?
Growth where the increase in each period is proportional to the current value, rather than a fixed amount — this compounds over time, unlike linear growth.
What real-world quantities grow exponentially?
Population, investments, and some biological processes (like bacterial cultures under ideal conditions) commonly follow exponential growth models over the short-to-medium term.
Can I use a negative growth rate?
Yes — a negative rate models decline, though the dedicated Exponential Decay Calculator is framed more naturally for that (using a positive decay rate instead).
What if my rate changes each period?
This calculator assumes a constant rate throughout — for varying rates, you'd need to calculate each period separately and chain the results.