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24

(1910) Author: Peder Lobben - Tema: Mechanical Engineering
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24 COMPOUND INTEREST.
Compound Interest Computed Semi=Annually.
When compound interest is to be computed semi-annually,
use Table No. 3. Under the given rate and opposite the given
number of years, find the amount of one dollar invested and
interest computed semi-annually for the time taken. Multiply
this by the principal invested, and the product is the amount.
Example.
$350 is put in a savings bank paying 4%, computed semi-
annually. What is the amount in 10 years ?
Solution
:
Under 4%, and opposite 10 years, we find the number
1.4860. This we multiply by the principal invested.
Thus:
1 .485949
350
520.08215 = $520.08 = Amount.
To compute compound interest for longer time than
is given in the tables, figure the amount for as long a time
as the table gives ; then consider this amount as a new princi-
pal invested, and use the table and figure again for the rest of
the time.
Example.
What is the amount of $40, left in a savings bank 18 years,
at 4%, and the interest computed semi-annually. The table
only gives 12 years, therefore we will look opposite 12 years,
under 4%, and find the number 1.608440. This we multiply by
the principal invested.
Thus:
1.608440
40
64.3376
But now we have to compute for 6 years more, therefore
under 4%, and opposite 6 years, we find the number 1.268243.
Multiplying this by the principal, which is now considered as
being invested 6 years more, we have :
1.268243 X 64.3376 = $81.60 = Amount.
Thus, $40, invested at 4% interest, computed semi-annually,
will, after 18 years of time, amount to $81.60.

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