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Compound interest calculator

Future value of a deposit with compounding and optional monthly additions.

  • Runs in your browser
  • No sign-up

How to use the compound interest calculator

  1. Enter the starting amount and the interest rate per year.
  2. Enter the number of years and choose how often interest is compounded: yearly, half-yearly, quarterly, monthly or daily.
  3. Add a monthly addition if you plan to keep depositing.
  4. Pick a currency and read the future value, total deposits, interest earned and the effective annual rate. The table shows each year; Download CSV saves it.

The formula

A = P × (1 + r ÷ n)^(n × t)

  • P is the starting amount and r is the annual rate as a decimal (8% is 0.08).
  • n is how many times a year interest is added and t is the number of years.

With monthly additions the tool converts your compounding choice to an effective monthly rate, i = (1 + r ÷ n)^(n ÷ 12) − 1, then grows the balance month by month: balance = P × (1 + i)^m + PMT × ((1 + i)^m − 1) ÷ i.

Worked example

Deposit 1,00,000 at 8% for 10 years.

  • Yearly compounding: 1,00,000 × 1.08^10 = 2,15,892.
  • Monthly compounding: 1,00,000 × (1 + 0.08 ÷ 12)^120 = 2,21,964.
  • Add 5,000 a month with monthly compounding and the future value becomes 11,36,694, from total deposits of 7,00,000.

The effective annual rate for 8% compounded monthly is 8.3%, which is why the monthly figure is higher.

The rule of 72

Divide 72 by the annual rate to guess how many years money takes to double. At 8% it is about 9 years. That agrees with the table: 1,00,000 reaches 2,00,000 between years 9 and 10.

What compounding teaches

  • Time beats size. Starting early with a small sum often outgrows a late, larger one.
  • Fees and inflation work the opposite way and cut the real return.
  • Compare accounts by effective annual rate, not the headline rate.

Estimates only, not financial advice.

For regular market investing, see the SIP calculator. For borrowing costs, use the EMI calculator. To check a percentage quickly, try the percentage calculator. Everything is calculated in your browser.

Questions

What is the compound interest formula?

A = P × (1 + r ÷ n)^(n × t), where P is the starting amount, r the annual rate, n the compounding periods per year and t the years.

How much is 1,00,000 worth after 10 years at 8%?

About 2,15,892 with yearly compounding and 2,21,964 with monthly compounding, so more frequent compounding earns more.

Does compounding frequency matter much?

A little. Going from yearly to monthly at 8% adds about 3 percent to the end value over 10 years. Going from monthly to daily adds very little.

How are monthly additions treated?

They are added at the end of each month and grow at the effective monthly rate implied by your compounding choice.

Is this financial advice?

No. It is an estimate only, not financial advice. Real returns vary and are not guaranteed.

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