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Boston University *
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Course
132
Subject
Finance
Date
Jan 9, 2024
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docx
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3
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P
RACTICE
E
XAM
P
ROBLEMS
SM132
Practice Exam Problems 3
NPV/IRR
1.
BU’s Agganis Arena has an opportunity to purchase a newly developed system that would resurface
a hockey rink in less than five minutes without requiring any Zambonies or workers.
Installation of
the new system would
cost $600
thousand and the projected cost savings would be:
Year
1
2
3
4
5
6
7
8
Savings
($thousand
s)
50
50
200
100
200
200
200
200
What is the NPV with a discount rate of 8% ?
What is the NPV with a discount rate of 16%?
What is the IRR?
2.
Your roommate has decided to start a cat grooming business and you are her first investor!
You
have agreed to invest $500 today and an additional $500 next year.
You expect to receive $300 per
year for 6 years beginning two years from today.
If you assume a discount rate of 5%, what is the
expected NPV of your investment?
3.
What is the value in year 7 of the following stream of payments?
Assume an interest rate of 6%
Year
1
2
3
4
5
6
7
Payment
$6
0
$2
0
$2
5
-$40
$3
5
$1
5
4.
Consider the following series of cash flows
You invest $800 today and an additional investment of $500 three years from today.
You expect to receive the following cash flows:
End of Year 1
$200
End of Year 2
$200
End of Year 3
$500
End of Year 4
$600
P
RACTICE
E
XAM
P
ROBLEMS
SM132
If you assume a discount rate of 3%, how much does the value today of the benefits exceed
the value today of the costs?
What is the return on your investment?
5.
You invest $10,000 today and expect to receive the following cash flows.
If the discount rate is 8%,
what is the net value today of the investment?
$1000 in 1 year
$2000 in 2 years
$4000 in 3 years
$5000 in 4 years
P
RACTICE
E
XAM
P
ROBLEMS
SM132
1.
NPV @ 8%
$208.34
NPV @ 16%
-$27.30
(note: make sure that you include the $600 thousand investment at T
0
)
IRR
14.85%
2.
$474
3.
$150.12
(note: the easiest way to do this problem is to use the CFj key and the NPV function to
find the value at time 0.
Once you have value today, you can find the future value at year 7)
4.
$116, 7.9%
5.
-$509
NOTE:
it is important to make the answer
negative
.
A positive answer will be
incorrect on the exam
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