Question

The NPV for Machine b =??????? ​(round your response to the nearest whole number and include...

The NPV for Machine b =???????

​(round your response to the nearest whole number and include a minus sign if​ necessary).

Tim Smunt has been asked to evaluate two machines. After some​ investigation, he determines that they have the costs shown in the following​ table:

                                                                                                

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Machine A

Machine B

Original Cost

$ 12 comma 000$12,000

$ 24 comma 000$24,000

Labor per year

$ 2 comma 400$2,400

$ 4 comma 800$4,800

Maintenance per year

$ 4 comma 600$4,600

$ 800$800

Salvage value

$ 1 comma 600$1,600

$ 7 comma 000$7,000

He is told to assume​ that:

1. The life of each machine is

33

years.2. The company thinks it knows how to make

1212​%

on investments no more risky than this one.

3. Labor and maintenance are paid at the end of the year.

The NPV for Machine

Aequals=​$negative 27674−27674

​(round your response to the nearest whole number and include a minus sign if​ necessary).The NPV for Machine

Bequals=​$nothing

​(round your response to the nearest whole number and include a minus sign if​ necessary).

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Answer #1

Answer: Machine A

risk level, r 12%
period no, n 0 1 2 3
Original cost (-Labor per year-Maintenance per year) (-Labor per year-Maintenance per year) (-Labor per year-Maintenance per year+ salvage)
Cash flow, FV -$12,000 -$7,000 -$7,000 -$5,400
present value, PV= FV/(1+r)^n -$12,000.0 -$6,250.0 -$5,580.4 -$3,843.6
NPV= sum of all PV -$27,674

Machine B

risk level, r 12%
period no, n 0 1 2 3
Original cost (-Labor per year-Maintenance per year) (-Labor per year-Maintenance per year) (-Labor per year-Maintenance per year+ salvage)
Cash flow, FV -$24,000 -$5,600 -$5,600 $1,400
present value, PV= FV/(1+r)^n -$24,000.0 -$5,000.0 -$4,464.3 $996.5
NPV= sum of all PV -$32,468

Machine A is better alternative because it has more value

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