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ToolPika

Compound Interest Calculator

Enter a starting amount, a monthly contribution, the interest rate and the number of years to see how your money grows.

Final balance

31,998.32
Total contributed
22,000
Interest earned
9,998.32

At this rate, money doubles in about 14.2 years.

Growth by year
YearTotal contributedInterest earnedBalance
111,200539.5011,739.50
212,4001,168.0113,568.01
313,6001,890.0615,490.06
414,8002,710.4417,510.44
516,0003,634.2019,634.20
617,2004,666.6021,866.60
718,4005,813.2324,213.23
819,6007,079.9126,679.91
920,8008,472.7929,272.79
1022,0009,998.3231,998.32

Assumes a constant rate and no taxes or fees. Real returns vary.

Runs in your browser. Nothing you enter is sent to a server.

How it works

The calculator follows your balance month by month. Each month it adds the interest earned (using the monthly equivalent of the rate for the compounding you chose) and then your contribution, which is assumed to be paid at the end of the month. Without contributions this gives exactly the textbook formula P × (1 + r/n)^(n·t).

The result shows the final balance, how much of it you contributed and how much is interest. The table breaks it down year by year.

Examples

Scenario Final balance Of which interest
10,000 at 5% for 10 years, monthly compounding 16,470.09 6,470.09
The same plus 100 a month 31,998.32 9,998.32
5,000 at 7% for 30 years, yearly compounding 38,061.28 33,061.28
200 a month at 7% for 30 years, monthly compounding 243,994.20 171,994.20

In the last example, 72,000 of contributions grow to almost 244,000: more than two thirds of the final balance is interest, and most of it is earned in the last decade.

Keep in mind

  • Real returns vary. Investments do not grow at a steady rate; use a conservative rate for planning.
  • Inflation reduces what the final amount can buy. Subtracting expected inflation from the rate gives the growth in today’s money.
  • Taxes and fees are not included and can make a large difference over long periods.

Frequently asked questions

What is compound interest?

Interest that is added to your balance and then earns interest itself. The longer the money stays invested, the more of the final balance comes from interest rather than from what you put in.

What is the formula?

Without contributions, the final amount is P × (1 + r/n)^(n × t), where P is the starting amount, r the yearly rate, n the number of times interest is added per year and t the number of years. 10,000 at 5% compounded yearly for 10 years grows to 16,288.95.

Does compounding frequency matter much?

A little. 10,000 at 5% for 10 years becomes 16,288.95 with yearly compounding, 16,470.09 monthly and 16,486.65 daily. The rate and the time invested matter far more.

What is the rule of 72?

A shortcut for how long it takes to double your money, 72 divided by the yearly rate. At 7% it gives 10.3 years; the exact answer is 10.2 years, which the calculator shows below the result.