A = P(1 + r⁄n)nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Our free Compound Interest Calculator lets you calculate the final amount of an investment or loan with compounding. Enter the principal, annual interest rate, time period, and compounding frequency to see how your money grows.
Compound interest is the interest on a principal amount plus the accumulated interest from previous periods. It is the foundation of long-term investment growth and is often called "interest on interest". The more frequently interest compounds, the faster your investment grows.
The formula for compound interest is:
A = P × (1 + r/n)^(n×t)
Invest $1,00,000 at 10% annual interest compounded monthly (n=12) for 5 years:
A = 1,00,000 × (1 + 0.10/12)^(12×5) = $1,64,534