# Everyday Calculation

Free calculators and unit converters for general and everyday use.

Calculators » Finance » Compounding Calculator

## Compound Interest Calculator

Our online tools will provide quick answers to your calculation and conversion needs. On this page, you can calculate compound interest with daily/ weekly/ monthly/ quarterly/ half-yearly/ yearly compounding. You can also use this calculator to solve for compounded rate of return, time period and principal.

% p.a.

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#### Compound Interest Formula

A = P(1+r/n)nt
CI = A-P
Where,
CI = Compounded interest
A = Final amount
P = Principal
t = Time period in years
n = Number of compounding periods per year
r = Interest rate per annum in percentage

#### Calculation Examples

You can solve for any variable in compound interest calculation by rearranging the formula as showing in the following examples:-

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

Ans. A = P(1+r/n)nt
We have P=75000, n=2, t=3, r=7.9/100
A = 75000(1 + (7.9 / 100) / 2)6 = 94625.51
Interest = A - P = 94625.51 - 75000 = 19625.51

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

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

3. If interest is compounded daily, find the rate at which an amount doubles itself in 5 years?

Ans. r = ((A/P)1/nt - 1) × n
r = (21/(365×5) - 1) × 365 = 0.1386 = 13.86% per annum