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Calculators » Finance » 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.

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

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 = (2^{1/5} - 1) * 100 = 14.87% per annum

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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