Compound Interest Calculator

See what a sum grows to at a given rate, with or without a regular contribution, and at the compounding frequency you choose. Free.

How it works

Compound interest is interest that earns interest. At the end of each period the interest is added to the balance, and the next period charges interest on that larger balance.

The calculator adds two amounts. The principal grows for the whole term. Each contribution grows for the time left after it is paid in.

Final amount = P * (1 + r)^n + C * ((1 + r)^n - 1) / r

P is the principal. C is the contribution per period. r is the rate for one period, which is the annual rate divided by 100 and then by the number of compounding periods in a year. n is the number of periods, which is the duration in years multiplied by that same number.

  1. Enter the principal, the annual interest rate and the duration in years.
  2. Choose how often the interest compounds: monthly, quarterly or yearly.
  3. Enter a contribution per period, or 0 for none.
  4. Read the final amount, the total you pay in, and the interest.

Contributions arrive at the end of each period. Interest earned is the final amount minus everything you paid in.

The duration multiplied by the compounding frequency must give a whole number of periods. A rate of zero is allowed.

Amounts follow the currency and the number format you choose in settings. The calculation runs in your browser.

Worked examples

100,000 at 8 percent for 10 years, compounded quarterly, with 5,000 added each quarter

The final amount is 522,813.88 over 40 quarters. The total paid in is 300,000.00, and the interest is 222,813.88.

The balance is 128,851.26 after one year and 270,081.59 after five. The later years add more, because the interest in them is charged on a larger balance.

250,000 at 7 percent for 5 years, compounded yearly

With no contribution the final amount is 350,637.93, and 100,637.93 of that is interest.

Add 25,000 at the end of each year and the final amount is 494,406.41. The total paid in rises to 375,000.00 and the interest rises to 119,406.41.

Frequently asked questions

How much does the compounding frequency change the result?

Less than the choice suggests. 100,000 at 8 percent for 10 years with no contribution reaches 215,892.50 compounded yearly, 220,803.97 compounded quarterly, and 221,964.02 compounded monthly. The annual rate is split evenly across the periods, so a higher frequency only brings each piece of interest forward.

Why does it ask for a whole number of compounding periods?

The balance moves once per period, so a part period has no value to report. A term of 10.5 years works with quarterly compounding, which is 42 quarters, and reaches 229,724.45. The same term is refused with yearly compounding, because 10.5 yearly periods is not a whole number.

When is each contribution added, and does it grow?

At the end of the period, so it earns nothing during the period it is paid in, and the amount never changes. The SIP Calculator invests at the start of the month and can raise the amount each year. 10,000 a month for 10 years at 12 percent gives 2,300,386.89 here and 2,323,390.76 there, and that difference is one month of growth on every contribution.

What happens if I enter a rate of zero?

The final amount equals the money you paid in. 100,000 with 5,000 added each quarter for 10 years gives 300,000.00 and no interest.

Is anything I type stored?

No. There is no account, nothing you type is sent to a server, and no result is written down. The page works with no internet connection.

Good to know

Interest earned is measured against everything you paid in, not against the principal alone. A figure that reports growth without subtracting the contributions flatters the rate.

Time does more work than the rate. 100,000 at 8 percent compounded quarterly reaches 220,803.97 in 10 years and 487,543.92 in 20 years. The second ten years add far more than the first ten.

For growth with no contributions, use the Future Value Calculator. For the same arithmetic seen from the side of a debt, use the EMI Calculator.