Home/Tools/Calculators/Compound Interest Calculator

Compound Interest Calculator

Calculators

See how savings and monthly deposits grow with compound interest, with a chart and a year-by-year table.

⚡ Instant🔒 Private, in your browser🆓 Free, no sign-up👥 For everyone
Your data never leaves your browser. We do not store inputs.

Quick answer

How much is $10,000 worth after 10 years at 7% compound interest?

With interest compounded monthly, $10,000 grows to $20,096.61 after 10 years. That is $10,096.61 of interest, about 2.01 times the original amount.

Value of $10,000 with monthly compounding
Years5% a year7% a year9% a year
5$12,834$14,176$15,657
10$16,470$20,097$24,514
20$27,126$40,387$60,092
30$44,677$81,165$147,306
Formula:
A = P × (1 + r ÷ n)^(n × t), where P is the starting amount, r the yearly rate as a decimal, n the number of times interest is added per year and t the number of years.
Assumptions:
A single deposit and no further contributions, a constant rate, and no taxes or fees.

These figures are computed with the same formulas as the Compound Interest Calculator above. Change the inputs in the tool to see your own result. For a full table, see Compound interest table and Inflation table.

What Compound Interest Calculator does

The Compound Interest Calculator shows how a starting amount and regular monthly contributions grow over time when interest earns interest. Choose the compounding frequency (annual to daily), whether you deposit at the start or end of each month, and see the final balance, total deposits, interest earned, a growth chart and a year-by-year table. Set the contribution to zero to see the classic A = P(1 + r/n)^(nt) result.

FV
Reviewed by the FreeToolsVerse team · Last updated · How we check our tools

Features and benefits

  • Shows how a lump-sum principal grows year over year under compound interest, not just the final total
  • Lets you add regular monthly contributions to see how consistent deposits combined with compounding change the outcome
  • Makes it easy to compare compound growth against simple interest over the same period, so you can see exactly what compounding is worth
  • Adjustable time period shows how growth accelerates the longer money stays invested
  • Free and instant, so you can test several rate and timeframe combinations quickly without signing up

How to use Compound Interest Calculator

  1. Enter your starting amount, and a monthly contribution if you will add regularly
  2. Enter the annual interest rate and the number of years
  3. Choose how often interest compounds and when contributions are made
  4. Read the balance, deposits and interest, then study the chart and the yearly table

Who should use it

Made for everyone. Typical uses:

  • Planning long-term investment growth
  • Comparing savings account returns
  • Understanding the impact of compound interest on loans

Example

$10,000 invested with $200 added every month at 6% compounded monthly grows to $125,510.22 after 20 years. You put in $58,000 ($10,000 plus 240 × $200), so $67,510.22 of the balance is interest. With no monthly contributions, $10,000 at 5% compounded monthly for 10 years becomes $16,470.09.

Limitations and accuracy

The calculator assumes a constant rate, no taxes, no fees and no inflation. Real returns vary from year to year, so treat the result as a comparison tool rather than a forecast.

Accuracy: Formulas follow standard published methods and are checked against worked reference examples. Results are estimates based on the values you enter and do not replace advice from a qualified professional.

Expert Tip

Run the same principal and timeframe at a couple of different interest rates or compounding frequencies side by side -- small rate differences compound into surprisingly large gaps over 15-20+ years.

Frequently asked questions

What is the compound interest formula?
A = P(1 + r/n)^(nt), where P is the principal, r is the annual rate as a decimal, n is the number of compounding periods per year and t is the number of years. With regular contributions the calculator adds each deposit and compounds it too.
Does compounding frequency matter?
Slightly. $10,000 at 5% for 10 years gives $16,288.95 compounded annually, $16,470.09 monthly and about $16,486.65 daily. More frequent compounding helps, but the rate and time matter far more.
Should contributions be at the start or end of the month?
Start-of-month deposits earn a month more interest, giving a slightly higher balance. Choose the option that matches when you actually deposit.
How can I use this for retirement or savings?
Enter what you have now, what you will save each month, a realistic long-term return and the number of years. The chart shows how much of the final balance comes from your deposits and how much from interest.
What is the Rule of 72?
Divide 72 by the annual rate to estimate the years needed to double your money: at 6% it takes about 12 years. The calculator gives the exact figure for your inputs.

Compound Interest Calculator: the complete guide

Why compounding is called the eighth wonder

Simple interest pays only on your original amount. Compound interest also pays on the interest you have already earned, so growth accelerates. The formula for a lump sum is A = P(1 + r/n)^(nt), where P is the starting amount, r the yearly rate, n the number of compounding periods per year and t the number of years. With regular deposits the calculator adds each deposit and compounds it too.

The effect is small at first and enormous later. $10,000 growing at 6 percent, compounded monthly, becomes $33,102 after 20 years without adding a cent. At 3 percent the same money reaches $18,208, and at 9 percent it reaches $60,092. Tripling the rate does not triple the result; it multiplies it several times, because each year builds on the last.

The power of regular deposits

Adding a monthly amount changes the picture. $10,000 plus $200 a month at 6 percent for 20 years grows to $125,510. You paid in $58,000 ($10,000 plus 240 deposits of $200), so $67,510 is interest. A steady habit contributes more than a large one-off, and the calculator shows deposits and interest separately so you can see how much of the balance you earned rather than saved.

Timing inside the month matters slightly. Depositing at the start of each month earns one extra month of interest per deposit compared with depositing at the end, which is why the calculator lets you choose. If your salary arrives at the end of the month and you invest immediately, choose end; if you set an automatic transfer on the first, choose start.

Start early: the cost of waiting

Time is the most powerful input. Invest $200 a month at 7 percent for 40 years and you end with about $524,963. Start ten years later and invest for 30 years and you end with about $243,994. The extra ten years contributed only $24,000 more in deposits but produced $281,000 more in the final balance. Waiting a decade to start cuts the outcome by more than half, even though you save the same amount each month.

The lesson is not to fear waiting too long but to start with whatever amount you can. A smaller amount begun now often beats a larger amount begun later. As your income grows, raise the monthly figure and rerun the calculation.

Does compounding frequency matter?

Slightly, and less than most people expect. $10,000 at 5 percent for 10 years becomes $16,288.95 compounded once a year, $16,470.09 monthly and $16,486.65 daily. The gap between annual and daily compounding is under $200 on a 10-year investment, while a single percentage point in the rate would change the result by over $1,500. Focus on the rate, the time and your contribution before you worry about the compounding schedule.

When comparing accounts, look for the APY (annual percentage yield), which already includes compounding and lets you compare different frequencies fairly.

The Rule of 72 as a shortcut

To estimate how long it takes money to double, divide 72 by the annual rate. At 6 percent that is about 12 years (the exact figure is 11.9), and at 3 percent about 24 years (exactly 23.45). The rule works best for rates between about 4 and 12 percent. It also works in reverse for debt: a credit card at 24 percent doubles what you owe in about three years if you make no payments.

  • Use the calculator for precise results, and the Rule of 72 for mental maths.
  • Rates that look similar can differ hugely over decades: compare the final balances, not the percentages.
  • Fees matter: a 1 percent yearly fund fee reduces a 6 percent return to about 5 percent, and over 30 years that costs a large share of the balance.

Using the result wisely

The calculator assumes a constant rate, no taxes, no fees and no inflation. Real returns vary year by year, and savings accounts, bonds and stocks behave very differently. To see what the final amount will really buy, check it against the Inflation Calculator. If you want to know the growth rate of an investment you already have, use the CAGR Calculator, and to plan a specific target use the Savings Goal Calculator. The article how compound interest works explains the idea from the beginning, and simple vs compound interest compares the two.

Learning resources

Explore more in Calculators, read the guides and articles, or see how we test our tools.

Share This Tool