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Free tools / General calculations

Compound interest calculator (principal, rate, periods)

Enter a principal, the interest rate for each period and the number of periods. The balance, the total interest and a table for every period appear as you type.

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Added at

Result

Balance at the end
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Principal and additions
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Total interest
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Enter the interest rate per period to see the result.

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How it works

Balance = principal × (1 + r)ⁿ, where r is the interest rate per period and n the number of periods.

Example: a fixed deposit of 100,000 at 2% a year for 3 years grows to 100,000 × 1.02³ = 106,120.80. A loan of 100,000 at 1% a month with nothing repaid grows to 112,682.50 after 12 months.

A fixed deposit, year by year100,000 at 2% a year for 10 years012345678910100,000121,899YearEach year earns interest on the interest already added.

The formula

Balance = principal × (1 + r)ⁿ, where r is the rate per period and n the number of periods. With an amount added every period, each addition earns interest from the period it is added.

Use a rate that matches the period: a yearly rate with years, a monthly rate with months. 2% a year is not the same as 2% a month.

Examples

A fixed deposit of 100,000 at 2% a year for 3 years: 100,000 × 1.02³ = 106,120.80, of which 6,120.80 is interest.

A loan of 100,000 at 1% a month with nothing repaid: after 12 months, 100,000 × 1.01¹² = 112,682.50 is owed.

Questions

What is compound interest?

Interest that is added to the balance and then earns interest itself in the following periods.

How is it different from simple interest?

Simple interest is worked out on the principal only. Compound interest is worked out on the principal plus the interest already added, so the balance grows a little more each period.

Why is the rate field empty?

The calculator does not assume any rate. Enter the rate that applies to your deposit, loan or account.

Can I use a monthly rate?

Yes. Enter the monthly rate and the number of months: the rate and the periods must use the same unit of time.

For calculation only. Not financial advice.