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1) A new computer system will require an initial outlay of $20,000, but it will increase the firm?s cash flows by $4,000 a year for

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1) A new computer system will require an initial outlay of $20,000, but it will increase the firm?s cash flows by $4,000 a year for each of the next 8 years. Is the system worth installing if the required return is 9%? What if it is 14%? How high can the discount rate be before you would reject the project?

2) First, calculate the payback period and NPV for all projects below. For all the projects, the relevant discount rate is 10%. Then, comment on why the payback period provides misleading information about the following:

a. Project A

b. Project B versus Project C

c. Project D versus Project E

d. Project D versus Project F

Year

A

B

C

D

E

F

0

-1,000

-1,000

-1,000

-1,000

-1,000

-1,000

1

1,000

100

400

500

400

500

2

200

300

500

400

500

3

300

200

500

400

10,000

4

400

100

400

5

500

500

400

3) You can purchase an optical scanner today for $400. The scanner provides benefits worth $60 a year. The expected life of the scanner is 10 years. Scanners are expected to decrease in price by 20% per year. Suppose the discount rate is 10%. Should you purchase the scanner today or wait to purchase? What is the best purchase time?

4) You are operating an old machine that will last 2 more years before it dies. It costs $14,000 per year to operate. You can replace it with a new machine that costs $25,000 but is much more efficient with $8,000 per year in operating costs and will last 5 years. Should you replace now or wait? The opportunity cost of capital is 6.5%.

image text in transcribed 1) A new computer system will require an initial outlay of $20,000, but it will increase the firm's cash flows by $4,000 a year for each of the next 8 years. Is the system worth installing if the required return is 9%? What if it is 14%? How high can the discount rate be before you would reject the project? 2) First, calculate the payback period and NPV for all projects below. For all the projects, the relevant discount rate is 10%. Then, comment on why the payback period provides misleading information about the following: a. Project A b. Project B versus Project C c. Project D versus Project E d. Project D versus Project F Year A B C D E F 0 - -1,000 -1,000 - -1,000 -1,000 1 1,000 100 400 500 400 500 2 200 300 500 400 500 3 300 200 500 400 10,000 4 400 100 400 5 500 500 400 3) You can purchase an optical scanner today for $400. The scanner provides benefits worth $60 a year. The expected life of the scanner is 10 years. Scanners are expected to decrease in price by 20% per year. Suppose the discount rate is 10%. Should you purchase the scanner today or wait to purchase? What is the best purchase time? 4) You are operating an old machine that will last 2 more years before it dies. It costs $14,000 per year to operate. You can replace it with a new machine that costs $25,000 but is much more efficient with $8,000 per year in operating costs and will last 5 years. Should you replace now or wait? The opportunity cost of capital is 6.5%

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