Exponential Growth Calculator
Use our exponential growth calculator to find the final value, initial value, growth rate, or time.
How to Calculate Exponential Growth
Exponential growth is the growth of a value by the same percentage over a number of time periods, where the percentage of growth during each period includes the effect of growth accumulated over previous periods.
You can calculate the amount of growth in a value over time using the exponential growth formula.
Exponential Growth Formula
The formula to find a value using the exponential growth formula is:
The final value xt is equal to the initial value x0 times 1 plus the growth rate r raised to the power of the number of time periods t.
By using a negative growth rate, you can also calculate the amount of exponential decay in a value.
The initial value grows over time if growth rate r > 0 and decreases (decays) over time if r < 0.
For example, let’s calculate the growth in a savings account containing $100 that grows at a rate of 7% over 20 years.
So, a $100 savings account that grows exponentially at a rate of 7% per year over 20 years will have a final value of $386.97.