Arithmetic

Compound Amount

Future value with periodic compounding.

A = P(1 + r/n)^(nt)

Variables

A
future amount
P
principal
r
annual rate
n
compounds per year
t
years

Example

P=1000,r=.05,n=12,t=1 → about 1051.16

How to use this formula

Identify the known values, keep units consistent, substitute the values into the formula, and calculate carefully. Then check whether the result is reasonable for the original problem.