Exponential Growth/Investment (fixed rate)

This calculator will compute the future balance given all growth/earnings are re-invested and assuming growth rate remains the same.

This calculator can be used for calculating investment growth, or bacterial growth, etc...

Please see reference for an expanded explanation on Exponential Growth and its applications.

Note: Monetary units ($ £ € ¥ ₹ ₽ 元 ...) are not used because calculations do not necessarily correspond to currencies.


Calculate

Initial Balance:
Growth Rate as Percent:
Period Count (i.e. years):

Report


Period Count Prev. Balance × Growth = End Balance

Math Equations Used

Growth Formula (Fixed Rate):
growthFormulaM
where
         K = ending balance.
         P = initial balance or principal
         r = growth rate as a percent plus 1. So, if given annual rate of 6%, then convert to (6/100)+1 = 1.06
         n = number of periods passed, period count, time cycles elpsed.
The period is the duration of time of one cycle in a repeating event.

Example:
You deposit $3000 into a savings account that growth 7% annually.
You keep the money and it's earnings in the account for 5 years.

Growth Breakdown:
@end of year 1:   3,000.00 * 1.07 = 3210.00
@end of year 2:   3,210.00 * 1.07 = 3,434.70
@end of year 3:   3,434.70 * 1.07 = 3,675.13
@end of year 4:   3,675.13 * 1.07 = 3,932.39
@end of year 1:   3,932.39 * 1.07 = 4,207.66


References
Exponential growth. (2019, February 23). Retrieved from https://en.wikipedia.org/wiki/Exponential_growth