Finance · Quick Answer
What is compound interest?
Compound interest is interest that earns interest. Each period, interest is added to the principal, and the next period's interest is calculated on the new, larger balance. Formula: A = P(1 + r/n)^(nt).
How it works
With simple interest, you earn interest only on the original deposit. With compound interest, the interest itself earns interest, producing exponential growth over long periods.
A = P × (1 + r/n)^(n×t)
Where:
- P = principal (starting amount)
- r = annual interest rate (as a decimal)
- n = compounding periods per year
- t = number of years
Why compounding frequency matters
$10,000 at 5% for 20 years:
- Simple interest: $20,000
- Compounded annually: $26,533
- Compounded monthly: $27,126
- Compounded daily: $27,181
The compounding frequency matters, but the time horizon and rate matter more.
Rule of 72
To estimate how long money takes to double: 72 / annual rate = years to double. At 6%, money doubles in about 12 years.
Run the numbers
All calculators →Compound Interest Calculator
Calculate how your money grows with compound interest over time. See the power of regular contributions.
Savings Goal Calculator
Calculate how much you need to save monthly to reach a financial goal by a target date.
Investment Return Calculator
Calculate the future value of an investment with regular contributions and compound growth.
Related answers
All answers →How is APR calculated?
APR (Annual Percentage Rate) = ((Interest + Fees) / Principal) / Loan Term in Years × 100. It includes the interest rate plus any up-front fees, spread across t…
What is net present value (NPV)?
NPV is the current value of future cash flows, discounted to today's dollars. NPV = Σ (Cash Flow_t / (1 + r)^t) − initial investment. Positive NPV means the inv…