Practice Exam Problems 5 - NPV & IRR
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Boston University *
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Course
132
Subject
Finance
Date
Jan 9, 2024
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3
Uploaded by DoctorFireCheetah21
P
RACTICE E
XAM P
ROBLEMS SM132 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 $600 thousand and the projected cost savings would be: Year 1 2 3 4 5 6 7 8 Savings ($thousands) 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.
You are considering investing in a new gold mine in South Africa. Gold in South Africa is buried very deep, so the mine will require an initial investment of $250 million. Once this investment is made, the mine is expected to produce revenues of $40 million per year for the next 20 years. It will cost $10 million per year to operate the mine. What is the IRR of this investment? Assuming a discount rate of 8%, what is the NPV of this investment?
P
RACTICE E
XAM P
ROBLEMS SM132 3.
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? 4.
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
$60
$20
$25
-$40
$35
$15
5.
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
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?
P
RACTICE E
XAM P
ROBLEMS SM132 6.
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
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Installing an automated production system costing $278,000 is initially expected to save Zia corporation $52,000 in expenses annually. If the system needs $5000 in operating and maintenance costs each year and has a salvage values of $25,000 at Year 10, what is the IRR of this system? If the company wants to earn at least 12% on all investments, should this system be purchased?
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Intro
The local franchise of Jiffy Lube is thinking of buying a new lift for $80,000 that would make it easier to
access the oil filter in customers' cars and save labor. The savings would increase over the project's 3-year
life, in line with the projected growth of the business:
A
Part 1
What is the project cash flow in year 3?
0+ decimals
Submit
Part 2
What is the NPV?
1 Year
2 Cost savings
0+ decimals
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B
The machine is to be linearly depreciated to zero and will have no resale value after 3 years. The company
uses a discount rate of 11% and has a tax rate of 21%.
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Assume you currently work for the city of Edmonton in their traffic safety department. It is estimated that you could reduce fatality risk by 3% at a particular intersection if you upgrade the traffic lights to use new high visibility LEDs. The cost of this upgrade is estimated to be $400,000. If we assume a human life is worth 10 million, should you spend the money to upgrade the traffic lights? (Hint: to multiply 1% by 200 you follow this process: 0.01 x 200 = 2).
a
No, since the expected benefit ($300,000) is lower than the cost.
b
Yes, since the expected benefit ($400,000) is equal to the cost.
c
Yes, since the expected benefit ($200,000) is greater than the cost.
d
No, since the expected benefit ($100,000) is lower than the cost.
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1. Your company wants to bring outdoor ice-skating to Palm Springs, California and
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Year
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1
3
Machine A
$10,000
$1,100
$1,100 &
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$12,000
$1,100
$1,200
$1,300 &
Replace
These costs are expressed in real (inflation adjusted) terms. Assume a 5 percent real
discount rate. Note that machine A would operate in periods 1 and 2 only, while mạchine
B would operate in periods 1 through 3.
A. Explain whether the concept of Equivalent Annual Cost (EAC) would be useful for
evaluating these two investments. In your answer please define EAC.
B. As the company's financial manager, if you had to buy one or the other machine,
which one would you buy. Why?
C. Now suppose you have an existing machine that you can keep operating for one more
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a
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$18000
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15000
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9%
8%
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factory is 10%, which alternative should be chosen? (Incremental IRR analysis
method is required)
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Year
1
2
3
4
5
Unit Sales
100, 500
NPV
112,500
135,500
141,500
94,500
The new system will be priced to sell at $470 each.
The cockroach eradicator project will require $2,100,000 in net working capital to start, and total net working capital will rise to 15% of -
the change in sales. The variable cost per unit is $340, and total fixed costs are $2,400,000 per year. The equipment necessary to
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20%. In five years, this equipment will actually be worth about 20% of its cost.
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in your…
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We project unit sales for a new household-use laser-guided cockroach search and destroy system as follows:
Year
1
2
3
4
5
Unit Sales
99,000
111,000
134,000
140,000
93,000
The new system will be priced to sell at $455 each.
The cockroach eradicator project will require $1,800,000 in net working capital to start, and total net working capital will rise to 15%
of the change in sales. The variable cost per unit is $325, and total fixed costs are $2,100,000 per year. The equipment necessary to
begin production will cost a total of $20 million. This equipment is mostly industrial machinery and thus qualifies for CCA at a rate of
20%. In five years, this equipment will actually be worth about 20% of its cost.
The relevant tax rate is 35%, and the required return is 19%. Based on these preliminary estimates, what is the NPV of the project?
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# 1.
A theater owner is considering the installation of an air conditioning system which he
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average price of ticket per person is P80.00 and the theater is in operation 360 days each year.
The aircon system installation will cost P600,000.00 and it is estimated that maintenance cost is
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the estimated life is 10 years. Taxes and insurance would be 3.5% of the first cost. For depreciation,
assume that money can be invested at 12% compounded annually. If the theater is now earning a
profit of 15% on its investment, would you recommend the installation of the new system? Use
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ff2
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QUESTION 2
You are considering starting new factory producing small electric heaters. Each unit will sell at a price of $55. The production cost of each heater is $35. You are expecting to sell 9000 units per year. This project has an economic life of 6 years. The project requires an investment of $700000
in plants and equipment. This equipment will be depreciated to zero salvage value based on 5-year MACRS schedule. The depreciation rates from year 1 to 6 are 20 % ,32 %, 19.2 %, 11.52 %, 11.52 %, and 5.76 percent, respectively. The required rate of return for the project is 12 percent,
the working capital requirement is 10 percent of the next year's sales revenue. The company will sell its old equipment for $100,000. The old machine is fully depreciated. The marginal corporate tax rate is 20 percent. At the termination of the project, the plant and equipment will be sold for an
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- We project unit sales for a new household-use laser-guided cockroach search and destroy system as follows: Year 1 2 3 4 5 Unit Sales 100, 500 NPV 112,500 135,500 141,500 94,500 The new system will be priced to sell at $470 each. The cockroach eradicator project will require $2,100,000 in net working capital to start, and total net working capital will rise to 15% of - the change in sales. The variable cost per unit is $340, and total fixed costs are $2,400,000 per year. The equipment necessary to begin production will cost a total of $22 million. This equipment is mostly industrial machinery and thus qualifies for CCA at a rate of 20%. In five years, this equipment will actually be worth about 20% of its cost. The relevant tax rate is 35%, and the required return is 16%. Based on these preliminary estimates, what is the NPV of the project? (Enter the answer in dollars. Do not round your intermediate calculations. Round the final answer to 2 decimal places. Omit $ sign in your…arrow_forwardWe project unit sales for a new household-use laser-guided cockroach search and destroy system as follows: Year 1 2 3 4 5 Unit Sales 99,000 111,000 134,000 140,000 93,000 The new system will be priced to sell at $455 each. The cockroach eradicator project will require $1,800,000 in net working capital to start, and total net working capital will rise to 15% of the change in sales. The variable cost per unit is $325, and total fixed costs are $2,100,000 per year. The equipment necessary to begin production will cost a total of $20 million. This equipment is mostly industrial machinery and thus qualifies for CCA at a rate of 20%. In five years, this equipment will actually be worth about 20% of its cost. The relevant tax rate is 35%, and the required return is 19%. Based on these preliminary estimates, what is the NPV of the project?arrow_forward# 1. A theater owner is considering the installation of an air conditioning system which he believed will increase the number of theater goers by an average of l100 persons a day. The average price of ticket per person is P80.00 and the theater is in operation 360 days each year. The aircon system installation will cost P600,000.00 and it is estimated that maintenance cost is P12,000.00 per year. Based on the performance of similar systems, the daily operation cost will be P 2000.00 and the estimated life is 10 years. Taxes and insurance would be 3.5% of the first cost. For depreciation, assume that money can be invested at 12% compounded annually. If the theater is now earning a profit of 15% on its investment, would you recommend the installation of the new system? Use the rate of return method.arrow_forward
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