3_practice_problems

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Boston University *

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132

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Finance

Date

Jan 9, 2024

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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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