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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.

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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

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 = (2^{1/(365×5)} - 1) × 365 = 0.1386 = 13.86% per annum

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