Compound Interest Calculator

Calculate how your money grows with compound interest, with optional monthly contributions and a year-by-year growth breakdown.

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Try an example — choose a starting point, then adjust the inputs.

$
$
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Future Value
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in 20 years
GROWTH BREAKDOWN
Initial Contributions Interest
YearDepositsInterestBalance

How to Use the Compound Interest Calculator

Enter your starting amount, an optional monthly contribution, the expected annual interest rate, the number of years, and how often interest compounds. The calculator shows your projected final balance, how much you deposited, how much you earned in interest, and a year-by-year growth table.

How monthly contributions are applied

Deposits are added at the end of each month, after that month's growth. The selected compounding frequency is converted to an equivalent monthly growth rate: i = (1 + r/n)n/12 − 1. This is a mathematical estimate, not a model of a particular bank's daily balance or deposit rules.

For m months, the balance is P(1+i)m + C × ((1+i)m − 1)/i, where C is the monthly contribution. At 0% interest, it is simply P + C × m. Use whole years from 1 to 100 and nonnegative amounts. Taxes, fees, inflation, withdrawals and changing returns are not included.

For background, see Investor.gov's explanation of compounding. The example rate below is hypothetical, not a predicted return.

The Compound Interest Formula

A = P (1 + r/n)nt

A = final amount
P = principal (starting amount)
r = annual interest rate (as a decimal)
n = compounding periods per year
t = number of years

When you add regular contributions, each deposit also begins compounding, which is why consistent investing is so powerful over long periods.

Example: The Power of Compounding

Suppose you invest $10,000, add $200 every month, and earn an average of 7% per year compounded monthly:

  • After 10 years: about $54,714 ($34,000 deposited)
  • After 20 years: about $144,573 ($58,000 deposited)
  • After 30 years: about $325,159 ($82,000 deposited)

Notice how growth accelerates — the last decade adds far more than the first. That is compounding at work.

Compounding Frequency Comparison

On a $10,000 investment at 7% for 20 years (no contributions):

FrequencyFinal Amount
Annually$38,697
Quarterly$40,064
Monthly$40,387
Daily$40,547

Disclaimer: Projections are hypothetical and for education only. Investment returns vary and are not guaranteed. Not financial advice.

Frequently Asked Questions

What is compound interest?
Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods. This means your money grows faster over time compared to simple interest, which is calculated only on the principal.
What is the compound interest formula?
A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate (decimal), n is the number of compounding periods per year, and t is the number of years.
What is the difference between simple and compound interest?
Simple interest is calculated only on the original principal. Compound interest is calculated on the principal plus accumulated interest, so your balance grows exponentially rather than linearly. Over long periods, compounding makes a dramatic difference.
How does compounding frequency affect growth?
The more frequently interest compounds, the faster your money grows. Daily compounding yields slightly more than monthly, which yields more than annually. The difference is small at low rates but grows with higher rates and longer timeframes.
What is the Rule of 72?
The Rule of 72 is a quick way to estimate how long it takes to double your money: divide 72 by your annual interest rate. At 8% interest, your money doubles in about 72 ÷ 8 = 9 years.
How do regular contributions affect compound growth?
Adding regular monthly contributions dramatically increases your final balance because each contribution starts compounding. Consistent contributions plus time are the most powerful drivers of long-term growth.
Is this calculator financial advice?
No. This tool provides estimates for informational and educational purposes only. Actual investment returns vary and are not guaranteed. Consult a licensed financial advisor for personalized guidance.

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