# 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, and yearly compounding. You can also use this calculator to solve for compounded rate of return, time period and principal.

% p.a.

Result window

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

#### Compound Interest Formula

Following is the formula for calculating compound interest when time period is specified in years and interest rate in % per annum.

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

#### Calculation Examples

You can solve for any variable by rearranging the compound interest formula as illustrated 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 = 75000(1 + (7.9 / 100) / 2)6 = 94625.51
Interest = 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 = log(2) / log(1 + 0.1 / 4) / 4 = 7.02 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 = (21/(365×5) - 1) × 365 = 0.13865 = 13.87% per annum

4. What is the present value of 500 to be paid in two years if the interest rate is 5 percent compounded annually?

Ans. P = A/(1+r/n)nt = 500/(1+5/100)2 = 453.51