Math

Exponential Growth Calculator

Project exponential trends using starting values, growth or decay rates, and number of periods—perfect for populations, investments, or decay models.

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Exponential Growth / Decay

Project exponential trends with discrete or continuous compounding.

Future value
1,562.71
Total change
362.71
Growth factor
1.3
Average change per period
60.45
Value at half the periods
1,369.4

Exponential model

Future value = Initial × (1 + rate)ᵗ

Rate is entered as a percent (positive for growth, negative for decay) and t represents the number of compounding periods.

How to use

  1. Enter an initial amount.
  2. Set the growth/decay rate per period and the number of periods to apply.
  3. Review the future value along with total change and a midpoint snapshot.

Example

Input: Initial = 1,200, Rate = 4.5% per year, Periods = 6 years

Output: Future value ≈ 1,561, Total gain ≈ 361

FAQ & notes

Can I solve for the rate instead?

This tool focuses on forward projection. Rearranging the equation manually lets you solve for rate or time when required.

Does it support continuous growth?

Toggle continuous mode to use FV = Initial × e^(rate × time) for natural exponential processes.