Exponential Growth Prediction
Estimate how a quantity grows under compound (exponential) growth. Enter the starting amount, growth rate, and number of periods.
Future value: 1,628.89
Absolute increase: 628.89
Doubling time: 14.21 periods
Growth timeline
| Period | Value |
|---|---|
| 0 | 1,000 |
| 1 | 1,050 |
| 2 | 1,102.5 |
| 3 | 1,157.63 |
| 4 | 1,215.51 |
| 5 | 1,276.28 |
| 6 | 1,340.1 |
| 7 | 1,407.1 |
| 8 | 1,477.46 |
| 9 | 1,551.33 |
| 10 | 1,628.89 |
How to Use This Calculator
- Provide the starting quantity of interest.
- Enter the growth rate per period (as a percentage).
- Specify how many periods the growth occurs.
- Review future value, total increase, and the time needed to double the quantity.
Formula
Future Value = Initial × (1 + r)t
Absolute Increase = Future Value − Initial
Doubling Time ≈ log(2) / log(1 + r)
These formulas assume discrete compounding once per period. For continuous growth, use ert.
Frequently Asked Questions
Can I model decay instead of growth?
Yes. Enter a negative growth rate (e.g., −5%) to model exponential decay.
How does compounding frequency affect results?
This tool compounds once per period. For more frequent compounding, adjust the rate and periods accordingly.
What if the rate changes over time?
Segment the timeline into pieces with different rates and run the calculator for each segment.