Math 123 LA Online Retirement Fund_AC
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School
The University of Tennessee, Knoxville *
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Course
ARCH-211
Subject
Finance
Date
Jan 9, 2024
Type
docx
Pages
2
Uploaded by shivamp2001
M123 LA Online Retirement Fund
Directions:
Use
the TVM solver on the calculator, fill in the information that you typed in the calculator.
Enter your
work/answers in the color boxes, do
not
delete the color boxes.
Round your final answers to 2 decimal places.
●
Alexa starts a retirement fund 10 years before retirement and pays $100 per month into the annuity for 10 years
with an interest rate of 6% per year interest compounded monthly.
●
Holly starts a retirement fund 20 years before retirement.
He pays $50 per month into the annuity for 20 years
with an interest rate of 6% per year interest compounded monthly.
●
Laura starts a retirement fund 30 years before retirement.
He pays $25 per month into the annuity for 30 years
with an interest rate of 6% per year interest compounded monthly.
1.
Find the value of their annuities at the time of retirement.
Work Here (Keyboard only):
Alexa
Holly
Laura
N=
120
N=
240
N=
360
I%=
6%
I%=
6%
I%=
6%
PV =
$0
PV=
$0
PV=
$0
PMT =
-$100
PMT=
-$50
PMT=
-$25
FV=
?
FV=
?
FV=
?
P/Y=
12
P/Y=
12
P/Y=
12
C/Y=
12
C/Y=
12
C/Y=
12
PMT:
(End/Begin)
End
PMT:
(End/Begi
n)
End
PMT:
(End/Begin
)
End
Calculator
Display
16387.93468
Calculator
Display
23102.04476
Calculator
Display
25112.87606
Final
Answer
$16387.93
Final
Answer
$23102.04
Final
Answer
$25112.88
2.
Find the total investment for Alex, Bob, and Carl.
1
Alexa’s Total Investment Work & Answer (No images of written work):
10
×
12
=
120
120
×
100
=
12,000
$
12,000
Holly’s Total Investment Work & Answer (No images of written work):
20
×
12
=
240
240
×
50
=
12,000
$
12,000
Laura’s Total Investment Work & Answer (No images of written work):
30
×
12
=
360
360
×
25
=
9000
$
9,000
3.
Find the amount of interest earned by Alex, Holly and Laura.
Alexa’s Interest Earned- Work & Answer (No images of written work):
12,000
−
16,387.93468
=
4387.93468
$
4,387.93
Holly’s Interest Earned- Work & Answer (No images of written work):
12,000
−
23,102.04476
=
11102.04476
$
11,102.04
Laura’s Interest Earned- Work & Answer (No images of written work):
9,000
−
25,112.87606
=
16112.87606
$
16,112.88
4.
Which of the three investment strategies would you recommend and why?
Answer Here (Keyboard only):
I would recommend Laura’s because she had the least amount of money invested, but her interest was much higher
than the other two investment strategies. This shows us that less money invested over a longer period of time is
much better than more money invested over a shorter period of time with the same interest rate.
2
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Answer(How to Enter)
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