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Compound Interest Calculator

This compound interest calculator shows how savings grow with monthly or other regular contributions — with the effective rate, a chart, a year-by-year table and the value in today's money.

Your savings

USD
%
USD
%

Used only to show the final balance in today's money.

Projected balance

$108,959.20 after 20 years

$108,959

after 20 years · $66,495 in today's money at 2.5% inflation

Total contributed
$53,000
Interest earned
$55,959
Effective annual rate
6.168%
6% nominal, monthly
2468101214161820
  • Contributions $53,000
  • Interest $55,959

A projection that assumes a constant rate and regular contributions. Real returns vary, and taxes and fees aren't included. Not financial advice.

Year by year

Balance at the end of each year
YearContributedInterestBalanceToday's money
1$7,400$376$7,776$7,586
2$9,800$922$10,722$10,206
3$12,200$1,651$13,851$12,862
4$14,600$2,572$17,172$15,557
5$17,000$3,698$20,698$18,294
6$19,400$5,042$24,442$21,076
7$21,800$6,617$28,417$23,906
8$24,200$8,436$32,636$26,786
9$26,600$10,516$37,116$29,720
10$29,000$12,873$41,873$32,711
11$31,400$15,523$46,923$35,762
12$33,800$18,484$52,284$38,876
13$36,200$21,776$57,976$42,057
14$38,600$25,419$64,019$45,308
15$41,000$29,434$70,434$48,632
16$43,400$33,846$77,246$52,035
17$45,800$38,677$84,477$55,518
18$48,200$43,954$92,154$59,086
19$50,600$49,705$100,305$62,744
20$53,000$55,959$108,959$66,495

The formula and the model

Without contributions

A = P × (1 + r/n)^(n × t)

P is the starting balance, r the nominal annual rate, n the compounding periods per year and t the years. $1,000 at 10% compounded once a year for one year: 1,000 × 1.1 = $1,100.

With regular contributions

Each deposit starts earning interest from the day it's made. Interest accrues in proportion to time within each compounding period and is added to the balance at the end of the period. When deposits and compounding happen at the same frequency this gives exactly the standard annuity formulas; when they differ — say monthly deposits into a yearly-compounding account — it stays consistent instead of assuming the rate divides neatly by 12.

Frequently asked questions

What is compound interest?+

Interest earned on both your money and the interest it has already earned. $1,000 at 10% a year becomes $1,100 after one year and $1,210 after two, because the second year's interest is also paid on the first year's $100.

What's the difference between a nominal and an effective rate?+

The nominal rate is the headline annual rate. The effective annual rate includes compounding within the year: 6% compounded monthly is (1 + 0.06/12)^12 − 1 = 6.17% effective. Enter the nominal rate and the calculator shows the effective one.

How are monthly contributions handled if interest compounds yearly?+

Interest builds up day by day in proportion to how long each deposit has been in the account, and is added at each compounding date. A deposit made halfway through the year earns half a year's interest — it isn't treated as if the rate were split into twelve monthly steps.

Should contributions be at the start or end of each period?+

Choose start if you pay in at the beginning of each month (for example on payday), end if you pay in at the end. Deposits at the start earn slightly more because they're invested longer.

What does “in today's money” mean?+

The final balance divided by the price rise from the inflation rate you enter, compounded over the years. It shows roughly what the future amount would buy now — it depends entirely on your inflation assumption.

How much will $200 a month grow to?+

At 7% a year compounded monthly, $200 paid in at the end of every month for 30 years grows to about $243,994. You pay in $72,000; the other $171,994 is interest. The result depends heavily on the rate and the number of years, so try your own figures.

What's the difference between simple and compound interest?+

Simple interest is paid only on the original amount; compound interest is also paid on interest already earned. $10,000 at 5% for 10 years earns $5,000 of simple interest, but $6,288.95 compounded once a year.

Does daily compounding earn much more than monthly?+

Only a little. $10,000 at 5% for 10 years grows to $16,288.95 compounded yearly, $16,470.09 monthly and $16,486.65 daily. The effective annual rate goes from 5% to 5.12% and 5.13%. The rate itself and how long you save matter far more.

Is APY the same as the effective annual rate?+

Yes. APY (annual percentage yield), which banks quote on savings accounts, is the effective annual rate: the nominal rate with compounding included. If your bank quotes an APY, enter it with yearly compounding; if it quotes a nominal rate and a compounding frequency, enter both.

What is the Rule of 72?+

A shortcut for how long money takes to double: divide 72 by the annual rate. At 8% that's 72 ÷ 8 = 9 years; the exact figure with yearly compounding is 9.01 years. It works best for rates between about 4% and 12%.

Can I download the year-by-year table?+

Yes. The CSV button downloads each year's total contributed, interest earned to date, balance and balance in today's money, ready for Excel or Google Sheets. Copy puts a one-line summary on your clipboard.

Is this a guarantee or advice?+

No. It's a projection with a constant rate. Real savings and investment returns change over time, and taxes and fees aren't included.