Value Worksheet With Answer Key Page 5

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8.5
120 000 5 R 3(1.12)
2 14
25
I needed to solve for R, so I multiplied
each side by 0.12.
120 000
R 5
I isolated R by dividing both sides by
3 (1.12)
2 14
25
the expression in square brackets.
5 7499.97
I solved for R by simplifying the
The investor needs to deposit
right side.
$7499.97 annually.
Pradesh’s Solution: Using the TVM Solver
a)
I wanted to solve for the payment, so
I entered 0 for PMT.
I entered 25 beside N for 25
compounding periods and 12 beside
I% for an annual interest of 12%.
PV is not required, so it is 0. I entered
1 000 000 beside FV for the desired
savings after 25 years.
Since the payments are made once a
year and compounded annually, P/Y
and C/Y are 1.
I placed the cursor beside PMT
because I was solving for the
payments.
I solved for PMT. The payments are
negative because the investor pays
them.
25 3 $7499.97 5 187 499.25
b)
There are 25 deposits of $7499.97.
Over 25 years, the deposits total
I calculated the total amount deposited
$187 499.25.
and subtracted it from the final
1 000 000 2 187 499.25
amount of $1 000 000.
5 812 500.75
$812 500.75 of the $1 000 000
is interest earned.
497
NEL
Solving Financial Problems Involving Exponential Functions

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