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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pdf

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3

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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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