CI - Compounding non-annually

Important

When interest is not compounded annually but with a periodicity of "n", i.e. interest is incurred "n" times annually:

A = $$P\left(1+\frac{R}{n\cdot100}\right)^{n\cdot T}$$

For example, when the periodicity is 2, i.e. "n" = 2, the interest is compounded half-yearly:

A=$$P\left(1+\dfrac{R}{200}\right)^{2T}$$

and when the periodicity is 4, i.e. "n" = 4, the interest is compounded quarterly:

$$A = P\left(1+\dfrac{R}{400}\right)^{4T}$$

Question 1

Rs. 6000 was invested for N years at 6% p.a compound interest. How much more money should be invested at 12% p.a compound interest for N years for the overall interest to be 10% p.a for N years?

Question 2

A certain amount of money is invested at a simple interest of 10% every year. The interest earned is again invested back at the same interest rate. In how many years will the amount double itself?

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CI - Compounding non-annually

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Simple and Compound Interest

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