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Compound Interest Calculator

Calculate compound interest with visual chart showing growth over time. Supports various compounding frequencies.

Compound Interest Calculator tool

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Example

Input: $10,000 principal at 5% annual interest, compounded monthly, for 10 years, no monthly contributions

Result: Final Amount $16,470.09 (Total Interest Earned $6,470.09)

A = 10,000 x (1 + 0.05/12)^120 = $16,470.09, so interest earned is $16,470.09 - $10,000 = $6,470.09.

Growth of $10,000 With Monthly Compounding

YearsAt 4%At 6%At 8%
5$12,210$13,489$14,898
10$14,908$18,194$22,196
15$18,203$24,541$33,069
20$22,226$33,102$49,268
25$27,138$44,650$73,402
30$33,135$60,226$109,357

One $10,000 deposit, no monthly contributions, rounded to the nearest dollar.

  1. Enter your initial principal amount (starting investment).
  2. Set the annual interest rate as a percentage.
  3. Choose the compounding frequency: daily, monthly, quarterly, semi-annually, or annually.
  4. Specify the investment duration in years.
  5. Enter a monthly contribution (or 0 for none) to see accelerated growth.
  6. View the growth chart and final balance with total interest earned.

How Compound Interest Grows Your Money

Compound interest is interest paid on your interest. Put $10,000 away at 5% a year, compounded monthly, and it grows to $16,470 in 10 years without a single extra deposit. This tool shows that growth for any amount, rate and time frame.

Enter a starting sum, a yearly rate, the number of years and how often interest is added: daily, monthly, quarterly, twice a year or once a year. You can also add a fixed deposit at the end of each month. The result shows the final balance, the total you paid in and the part that came from interest. A chart tracks both lines year by year, so you can see the gap between them widen.

Time does most of the work. At 8%, $10,000 roughly doubles in 9 years and doubles again in the next 9. The table below shows how far apart the rates drift over 30 years. That is why starting early matters more than finding a slightly better rate. The Rule of 72 gives a quick check: divide 72 by the rate to get the years it takes to double.

The same math runs in reverse on debt. A credit card balance at 20% grows just as fast as a good investment, only against you. To see the cost of borrowing, try the Loan and EMI Calculator. For a long-term savings plan with an employer match, use the Retirement Savings Calculator. Keep in mind that the rate you enter is fixed for the whole period. Real investment returns go up and down, and fees and taxes reduce them. Treat the result as a projection, not a promise.

Formula / How It Works

A = P(1 + r/n)^(nt), where A = final amount, P = principal, r = annual interest rate, n = compounding frequency per year, t = time in years. Monthly contributions C add C x ((1 + i)^(12t) - 1) / i, where i = (1 + r/n)^(n/12) - 1 is the equivalent monthly rate.

Sources

Frequently Asked Questions

At 5% a year compounded monthly, $10,000 grows to about $16,470 in 10 years. At 7% it reaches about $20,097, and at 8% about $22,196. These figures assume a fixed rate and no extra deposits or withdrawals. Real returns on investments vary from year to year, so use them as rough guides.
Not much. On $10,000 at 5% for 10 years, monthly compounding gives $16,470 and daily compounding gives about $16,487. The gap is under $20. The rate itself and the number of years matter far more than how often interest is added. Going from yearly to monthly compounding makes a larger jump than monthly to daily.
APR is the stated yearly rate. APY is what you actually earn in a year once compounding is counted. A 5% APR compounded monthly equals an APY of about 5.12%. Banks usually quote APY on savings because it looks higher, and APR on loans. Compare like with like when you shop around.
The Rule of 72 estimates how long money takes to double. Divide 72 by the yearly rate. At 6% it takes about 12 years, and at 9% about 8 years. It is a quick mental check, not an exact answer, and it works best for rates between about 4% and 12%.
Each deposit starts earning interest as soon as it is added, so regular saving speeds growth a lot. This tool adds the contribution at the end of each month. For example, $10,000 plus $100 a month at 7% for 10 years ends near $37,400, compared with about $20,100 without the monthly deposits.

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