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Amount you add every month. Set to 0 if making a one-time deposit.

Your results will appear here as you type.

How this is calculated

Without contributions: A = P × (1 + r/n)^(n×t). With monthly contributions: A = P × (1 + r/n)^(n×t) + C × [((1 + r/n)^(n×t) − 1) ÷ (r/n)], where P is the principal, r is the annual rate as a decimal, n is the compounding frequency, t is time in years, and C is the contribution per compounding period. All figures are pre-tax estimates.

Assumptions

  • Assumes a constant rate, interest reinvested, and contributions spread evenly across compounding periods at the end of each period. Before taxes, fees and inflation. Returns are not guaranteed.

Sources

Estimates for planning and education only. Not financial, tax or legal advice, and not an official government calculation. Calculations run in your browser; nothing you enter is stored or sent.

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How to use this calculator

Enter what you start with, what you add each month, the yearly rate you expect and how often interest compounds. The result shows your ending balance, how much of it you deposited, and how much came from interest, with a year-by-year table.

Time does most of the work

$10,000 start + $200 a month at 7%, compounded monthlyFinal balanceYou depositedInterest earned
10 years$54,713.58$34,000$20,713.58
20 years$144,572.72$58,000$86,572.72
30 years$325,159.17$82,000$243,159.17
Calculated with the formula below. Rounded to the cent.

Between years 20 and 30 in this example, the balance grows by more than $180,000 while you add only $24,000. That is compounding: interest starts earning interest of its own.

Does compounding frequency matter?

$10,000 at 7% for 10 years, no depositsFinal balance
Daily$20,136.18
Monthly$20,096.61
Quarterly$20,015.97
Annually$19,671.51

More frequent compounding helps, but much less than the rate, the time and how much you add. When comparing savings accounts, compare the APY, which already includes compounding.

How much will I have if I save each month?

Saved each month (starting from $0, 7% a year)After 10 yearsAfter 20 yearsAfter 30 years
$100$17,308$52,093$121,997
$200$34,617$104,185$243,994
$500$86,542$260,463$609,985
$1,000$173,085$520,927$1,219,971
Compounded monthly, deposits at the end of each month, before taxes and fees. Rounded to the dollar.

At $200 a month you deposit $72,000 over 30 years; the other $171,994 is compound interest. Change the rate in the calculator to match your own account or a more cautious estimate.

The rule of 72

A quick way to estimate how long money takes to double: divide 72 by the yearly rate. At 7%, that is about 10.3 years (the exact figure with yearly compounding is 10.2). At 4%, about 18 years. It is a mental shortcut, not a guarantee, and it works best for rates between roughly 4% and 12%.

Investment returns are not guaranteed, and a savings account rate can change. Taxes, fees and inflation reduce what you keep. For a fixed target, try our savings goal calculator.

Frequently asked questions

What is compound interest?

Interest calculated on your original amount plus the interest already added. Over time, your interest earns interest, so growth speeds up the longer the money stays invested.

What rate should I use?

For a savings account or CD, use its APY. For investments, use a conservative long-term estimate and remember that real returns vary from year to year and can be negative.

What is the compound interest formula with monthly contributions?

Final balance = P × (1 + r/n)^(n×t) + C × [((1 + r/n)^(n×t) − 1) ÷ (r/n)], where P is the starting amount, r the yearly rate as a decimal, n the compounding periods per year, t the years and C the deposit per period. The calculator does this for you and shows each year.

How much will I have if I save $200 a month?

At 7% a year compounded monthly, about $34,617 after 10 years, $104,185 after 20 and $243,994 after 30, starting from zero. At lower rates the totals are smaller; returns are not guaranteed.

How is this different from simple interest?

Simple interest is paid only on the original amount. Compound interest is paid on the growing balance, so it produces more over the same period at the same rate.

Sources

  1. Investor.gov (U.S. Securities and Exchange Commission) — Compound Interest Calculator (opens in a new tab)