Compound Interest Calculator
Calculate compound interest and maturity amount.
Up to 100 billion
0.1% to 100%
1 to 100 years
Year-by-Year Breakdown
| Year | Opening | Interest | Closing |
|---|---|---|---|
| Year 1 | 100,000 | 10,000 | 110,000 |
| Year 2 | 110,000 | 11,000 | 121,000 |
| Year 3 | 121,000 | 12,100 | 133,100 |
| Year 4 | 133,100 | 13,310 | 146,410 |
| Year 5 | 146,410 | 14,641 | 161,051 |
| Year 6 | 161,051 | 16,105 | 177,156 |
| Year 7 | 177,156 | 17,716 | 194,872 |
Calculates how a sum grows when interest is added to it and then earns interest itself, with the compounding frequency you choose.
Understanding the result
Final amount is the principal plus all the interest; total interest is the growth alone. Compounding more often gives slightly more interest at the same rate โ the table below shows how much.
For a period past a year, the year-by-year breakdown under the result shows the balance each year opens with, the interest it earns and the closing balance. Export CSV downloads it.
How to use it
- Principal โ the sum you start with, in any currency.
- Annual interest rate โ the nominal yearly rate.
- Time period โ in years or months.
- Compounding frequency โ yearly, half-yearly, quarterly or monthly.
How it works
The annual rate is split across the compounding periods in a year, and the principal grows by that rate once per period. A time period in months is converted to years first. The final value is rounded to a whole number.
A = P ร (1 + R รท (100 ร n))^(n ร t)
P = principal, R = annual rate %, n = compounding periods a year, t = years
Examples
100,000 for 10 years at 10%, compounded yearly
The final amount is 259,374, of which 159,374 is interest โ against 100,000 with simple interest at the same rate.
How compounding frequency adds up
| Compounding | 5 years | 10 years | 20 years |
|---|---|---|---|
| Yearly | 161,051 | 259,374 | 672,750 |
| Half-yearly | 162,889 | 265,330 | 703,999 |
| Quarterly | 163,862 | 268,506 | 720,957 |
| Monthly | 164,531 | 270,704 | 732,807 |
See also
- Simple Interest Calculator โ for interest on the principal only.
- FD Calculator โ for bank fixed deposits with quarterly compounding.