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Compound interest calculator

Enter a starting amount P, an annual rate r as a percent, time t in years, and n compounding periods per year. Future value = P × (1 + r ÷ n)^(n × t). This is an educational figure, not investment advice, and not a quote from a bank.

$1,000 saved for 2 years at 4% a year, compounded monthly. Educational figure only.

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Open another calculator with the numbers you just entered. The values stay in the link. Nothing is sent to a server.

When to use this calculator

Use this page when you want to see the standard compound interest formula with a compounding frequency you choose. Yearly compounding uses n = 1. Quarterly uses n = 4. Monthly uses n = 12. Daily uses n = 365.

A known check is $1,000 at 5 percent for 1 year with n = 1. That is $1,000 × (1 + 0.05 ÷ 1)^(1 × 1) = $1,050.00. If a bank quotes APY, that quote can include fees or a different compounding rule. This page does not reproduce a bank disclosure.

The table lists one row per year, up to 50 rows. For a comparison with simple interest, read Compound interest versus simple interest.

Try these numbers

  1. What is $1,000 at 5 percent for 1 year, compounded yearly? The future value is $1,050.00.
  2. The same starting amount with monthly compounding uses n = 12 in the same formula.
  3. A rate of 0 percent leaves the starting amount unchanged.

Questions

Is this APY?

No. APY is a disclosure term used by banks. This calculator only evaluates P × (1 + r ÷ n)^(n × t).

Why is there a 50-row cap?

The year-by-year table is a sketch of the same formula, not a statement. Fifty years is enough to see the path without filling the page.

Does this page compute a loan payment?

No. It does not amortize a loan, and it does not compute an auto payment.