To find the compound interest, you have to add the principal by interest by the number of year OR
in easy and time consuming, you can do this:
A = P(1 + R)N
A = Total amount of interest.
P = Principal.
R = Rate.
N= number of years.
For example "Find the compound interest earned if $12000 is invested for 5 years at 14% p.a if interest is compounded yearly. Answer to the nearest cent."
First I'll show you the original way to find the compound interest.
$12000 + 14% x 12000
= $13680
$13680 + 14% x 13680
= $15595.20
$15595.20 + 14% x $15595.20
= $17778.53
$17778.53 + 14% x $17778.53
= $20267.52
$20267.52 + 14% x $20267.52
= $23104.97
I.e interest earned = $23104.97 - $12000
= $11104.97
OR
$12000 x ( 1 + 14%)⁵
= 12000 x ( 1.14)⁵= $23104.97
I,e $23104.97 - 12000
= $11104.97
* The formula for compound interest can be used for inflation.
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