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

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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

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 = (2^{1/(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

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