Compound Interest Calculator
Calculate the future value of your investment using the power of compounding. Adjust frequency to see the difference.
The Power of Compound Interest
Unlike simple interest, which is calculated only on the principal amount, compound interest is calculated on the principal amount and the accumulated interest of previous periods. Often called the "Eighth Wonder of the World", it causes wealth to grow exponentially over time.
How Does the Compound Interest Formula Work?
Our calculator uses the standard mathematical formula for compound interest:
A = P(1 + r/n)^(nt)
- A = Total Amount (Principal + Interest)
- P = Principal Amount
- r = Annual interest rate (in decimal form)
- n = Number of times interest is compounded per year
- t = Time the money is invested or borrowed for, in years
Compounding Frequency & About the Data
The frequency of compounding makes a significant difference. If you invest at 10% annual interest, compounding it monthly rather than annually will yield a higher return because the interest earned in January will itself earn interest in February. Try toggling between Annually and Monthly in the calculator to see the difference!
Frequently Asked Questions
Have questions about this tool? Find quick answers here.
- Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. It is the result of reinvesting interest, rather than paying it out, so that interest in the next period is then earned on the principal sum plus previously accumulated interest.
- The formula 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 is compounded per year, and t is the number of years.
- The more frequently interest is compounded (e.g., daily vs. annually), the higher the effective yield will be. This means a monthly compounding schedule will give slightly higher returns than a yearly compounding schedule at the same nominal rate.
- The Rule of 72 is a quick mental math shortcut to estimate how long it will take for an investment to double. You divide 72 by the annual rate of return. For example, at an 8% interest rate, your money will double in approximately 9 years (72 ÷ 8 = 9).
Educational Purposes Only
The calculations provided by this tool are for educational and informational purposes only and do not constitute financial, investment, or tax advice. Actual rates, terms, and outcomes may vary based on your financial institution and market conditions. Please consult with a qualified financial advisor before making any major financial decisions.
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