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Compound Interest Calculator

Our online tools will provide quick answers to your calculation and conversion needs. On this page, you can calculate compound interest over a given period of time using different compounding intervals viz., daily, monthly, quarterly, half-yearly and yearly.

SOLVE FOR:

Principal:

Annual Interest Rate (%):

Time Period:

Compounding Interval:

Android: Use this compound interest calculator offline with our all-in-one calculator app.

Compound interest calculations

Here are some examples to calculate interest, time period, and interest rate using the compound interest formula. Use our calculator to verify the results.

Example 1. What is the compound interest of 75000 at 7.9% per annum compounded semi-annually in 3 years?

A = 75000(1 + (7.9 / 100) / 2)6 = 94625.51
Interest = A - P = 94625.51 - 75000 = 19625.51

Example 2. In how many years will a amount double itself at 10% interest rate compounded quarterly?

We have n=4, r=10/100, A=2, P=1
t = log(2) / log(1 + 0.1 / 4) / 4 = 7.2 years

Example 3. If interest is compounded annually, find the rate at which a amount doubles itself in 5 years?

r = (21/5 - 1) * 100 = 14.87% per annum

Compound interest formula

The formula for compound interest:
A = P(1+r/n)⌊nt⌋
CI = A-P
Where,
CI = Compound interest
A = Final amount
P = Principal (Initial investment)
t = Total time in years
n = Number of compounding periods per year
r = Annual interest rate in percentage

⌊nt⌋ means that nt is rounded down to the nearest integer.

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