What is Compound Interest?
Compound interest is the interest calculated on the initial principal and also on the accumulated interest of previous periods. Essentially, it is "interest on interest," which allows your savings or investments to grow exponentially over time rather than linearly.
Albert Einstein famously called compound interest the "eighth wonder of the world." Our calculator helps you visualize this power by showing how small, regular contributions can transform into significant wealth over a long-term horizon.
How to Use the Compound Interest Calculator
To project your investment growth, follow these five steps:
- 1Enter Your Initial InvestmentInput the starting amount of money you have ready to invest or save today.
- 2Set Regular Monthly AdditionsConsistency is key. Even a small monthly contribution can drastically change the final outcome due to compounding.
- 3Select the Time HorizonChoose how many years you plan to stay invested. Compound interest becomes more powerful the longer the timeframe.
- 4Input Expected Interest RateEnter the estimated annual return. For reference, the S&P 500 has historically averaged around 10% before inflation.
- 5Select Compounding FrequencyChoose whether interest is added daily, monthly, or annually. Frequent compounding accelerates growth.
Frequently Asked Questions
What is the formula for compound interest?
The formula for compound interest is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal balance, r is the annual interest rate, n is the number of times interest compounds per year, and t is the number of years.
How does compounding frequency affect my savings?
The more frequently interest compounds, the faster your money grows. For example, interest that compounds daily will result in a slightly higher final balance than interest that compounds monthly or annually, even if the interest rate (APR) is identical.
What is the "Rule of 72"?
The Rule of 72 is a quick way to estimate how long it will take for your money to double at a fixed interest rate. Simply divide 72 by your annual interest rate. For example, at a 6% interest rate, your money will double in approximately 12 years (72 / 6 = 12).
The Rule of 72
How long to double your money?
Calculation: 72 / Interest Rate = Years to Double.