Saturday, October 3, 2009

Find the compound interest on $10 000 for 2 years at 7.5 % per annum compounded annually.

Compound interest is defined as the interest added to the principal amount of a deposit or a loan in order for the added interest to earn interest from then on. 


The formula to calculate compound interest is as follows: 


`A = P (1 + i) ^n`


Where: 


A = Accumulated amount (Principal + interest) 


P = Principal amount (initial amount invested or initial loan amount) 


i = Interest rate per conversion period (decimal amount)


n = number of conversion periods 


Let's write down the information we have. 


P = $10000


i = 7.5/100 = 0.075


n = 2 * 1 = 2 (conversions is per annum over a two year period)  


A = ?  - What we are looking for. 


`A = 10000 (1 + 0.075)^2`


`A = $11556.25` 


The compound interest, I, is calculated as follows: 


`I = A - P = $11556.25 - $10000 = $1556.25`


The total compound interest is $1556.25

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