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Question #2: Which Should We Buy? Using the EAC approach, which machine should we choose? Use...

Question #2: Which Should We Buy?

  • Using the EAC approach, which machine should we choose? Use the table below to plan your cash flows (Bold boxes are where #’s should be).
  • Neither machine will have a differential impact on revenue. No change in NWC is required. The straight line depreciation rate is 20%, the required return is 10% and the tax rate is 40%. There is no salvage values for either machine.

Machine A

Machine B

Initial Cost

$150,000

$100,000

Pre-Tax Operating Cost

$65,000

$57,500

Expected Life (years)

8

5

Machine A: Cash Flows

Year

PV

0

1

2

3

4

5

6

7

8

OCF

Initial Cost

Total Cash Flows

Depreciation Tax Shield (Benefit)

NPV

EAC

Solutions

Expert Solution

As per the information given in the question, answer is as below :

Machine A
Year PV 0                        1                  2                  3                  4                  5                  6                  7                  8
Initial Cost $       (150,000) $       (150,000) $                   -   $             -   $             -   $             -   $             -   $             -   $             -   $             -  
OCF $       (346,770) $                     -   $       (65,000) $ (65,000) $ (65,000) $ (65,000) $ (65,000) $ (65,000) $ (65,000) $ (65,000)
Shield (Benefit) $          138,708 $                     -   $         26,000 $   26,000 $   26,000 $   26,000 $   26,000 $   26,000 $   26,000 $   26,000
Depreciation Tax $            45,489 $                     -   $         12,000 $   12,000 $   12,000 $   12,000 $   12,000 $             -   $             -   $             -  
Total Cash Flow $       (312,573) $       (150,000) $       (27,000) $ (27,000) $ (27,000) $ (27,000) $ (27,000) $ (39,000) $ (39,000) $ (39,000)
NPV                5.3349                          -                0.9091        0.8264        0.7513        0.6830        0.6209        0.5645        0.5132        0.4665
EAC $          (58,590)
Machine B
Year PV 0                        1                  2                  3                  4                  5
Initial Cost $       (100,000) $       (100,000) $                   -   $             -   $             -   $             -   $             -  
OCF $       (217,970) $                     -   $       (57,500) $ (57,500) $ (57,500) $ (57,500) $ (57,500)
Shield (Benefit) $            87,188 $                     -   $         23,000 $   23,000 $   23,000 $   23,000 $   23,000
Depreciation Tax $            30,326 $                     -   $            8,000 $      8,000 $      8,000 $      8,000 $      8,000
Total Cash Flow $       (200,456) $       (100,000) $       (26,500) $ (26,500) $ (26,500) $ (26,500) $ (26,500)
NPV                3.7908                          -                0.9091        0.8264        0.7513        0.6830        0.6209
EAC $    (52,879.75)

Since EAC of Machine B is lower, hence Machine B should be selected.


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