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Compound interest

See how savings grow with an opening balance, monthly contributions and annual, quarterly, monthly or daily compounding.

Five planning modes, one calculator topic

These modes share an underlying model, not five unrelated formulas.

Your numbers

$
$

Deposited at the end of each month.

%

Balance after 10 years

$45,219

22.6% of the ending balance is interest.

Total you deposit
$35,000
Interest earned
$10,219
Effective annual yield
4.44%
YearDepositedInterestBalance
1$8,000$282$8,282
2$11,000$711$11,711
3$14,000$1,291$15,291
4$17,000$2,030$19,030
5$20,000$2,935$22,935
6$23,000$4,013$27,013
7$26,000$5,273$31,273
8$29,000$6,721$35,721
9$32,000$8,367$40,367
10$35,000$10,219$45,219

How this is calculated

monthly rate i = (1 + r/n)^(n/12) - 1
balance(m) = balance(m-1) x (1 + i) + deposit
  1. 1The annual rate r compounded n times a year is converted to an equivalent monthly rate.
  2. 2Each month the balance earns that rate, then the monthly deposit is added (end of month).
  3. 3Interest earned is ending balance minus everything you deposited.

Assumptions and limits

  • Rate stays constant for the whole period.
  • No taxes, fees or withdrawals.
  • A 0% rate is handled exactly: the balance equals deposits.

Practical guide

Understanding compound interest

Everyday editorial team · GEOINNOVATION CO., LTD · Published · Updated

What this calculation is for

Compound growth shows how a starting balance and recurring deposits may develop over time. Comparing a deposit increase with a rate increase can reveal which assumption has more influence. Keep savings-account assumptions separate from risky investment-return assumptions.

How the method works

The starting balance grows at a monthly-equivalent rate and deposits are added at month-end. Where compounding frequency is editable, it converts a nominal annual rate using that frequency. Detailed tools also show proportional annual fee effects and purchasing power after the entered inflation rate.

A worked example

A $1,000 opening balance plus $100 each month contains $2,200 of contributions after one year. An ending balance above $2,200 represents modeled growth; it should not be confused with the full account balance.

Assumptions and real-world differences

Rates, contributions and fees are held constant. Taxes, changing bank terms, investment losses and irregular deposit timing are not automatically included. A CD penalty is a separate alternative rather than a deduction from its normal maturity amount.

Frequently asked questions

Is an advertised APY the same as a nominal rate?
No. APY already reflects compounding; check the field description before entering a quoted rate.
Are deposits made at the beginning of the month?
These projections use month-end deposits unless the specific tool states otherwise.

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