Old Machine Price Salvage for Depreciation Original Life 75,000 0 New Machine Difference 215,000 0 Depreciation Schedules Class 5 10 5 Year 1 Current Life 5 5 New Current Salvage Value 40,000 0 Old Expected Salvage Value 0 30,000 Depreciation Method Straight-line MACRS 7 7 Difference 7,500 7.500 7500 35,500 61,300 33,780 Depreciable Base 215,000 5 43,000 68,800 41,280 24,768 24,768 7,500 7,500 17,268 17.268 2 3 Depreciation Depreciable Life Book Value 7,500 10 37,000 5 (29,500)) 37,500 215,000 Energy Savings Salary Savings Tax Rate 6,000 68,000 WACC 25% 9.50% Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Initial Investment Cost of Machine (215,000) After-tax value of old machine 39,375 Net Investment (175,625) Annual Savings 74,000 74,000 74.000 74,000 74,000 Depreciation 29,500 29,500 29,500 29,500 29.500 Pre-Tax Operation Income 44,500 44,500 44,500 44,500 44,500 Taxes 11,125 11,125 11,125 11,125 11,125 Add: Depreciation After-tax Operating Cash Flow Operating Cash Flows 29.500 29.500 29.500 29.500 29,500 33,375 33,375 33,375 33,375 33,375 62,875 62,875 62,875 62,875 62,875 Terminal Value Salvage Value 30,000 Total After-tax Cash Flow (175,625) 62,875 62,875 62.875 62.875 92,875 Discount Factor Discount Cash Flows 1.00 (175,625) 0.91 57,420 0.83 52,438 0.76 47,889 0.70 43,734 0.64 58,997 Arroy Snackfoods is considering replacing a five-year-old machine that originally cost $75,000. It was being depreciated using straight-line to an expected salvage value of zero over its original 10-year life, and could now be sold for $40,000. The replacement machine would cost $215,000 and have a five-year expected life. It would be depreciated using the MACRS 5- year class life. The expected salvage value of this machine after 5 years is $30,000. The new machine is expected to operate much more efficiently, saving $6,000 per year in energy costs. In addition, it will eliminate one salaried position saving another $68,000 annually. The firm's marginal tax rate is 25% and the WACC is 9.5%. a. Set up an operating cash flow statement, and calculate the payback, discounted payback, NPV, IRR, and MIRR of the replacement project. Should the project be accepted? b. At what discount rate would you be indifferent between keeping the existing equipment and purchasing the new equipment?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Related questions
Question

Which values am I supposed to use for the depreciation?

Old Machine
Price
Salvage for Depreciation
Original Life
75,000
0
New Machine Difference
215,000
0
Depreciation Schedules
Class
5
10
5
Year
1
Current Life
5
5
New
Current Salvage Value
40,000
0
Old
Expected Salvage Value
0
30,000
Depreciation Method
Straight-line
MACRS
7
7
Difference
7,500 7.500 7500
35,500 61,300 33,780
Depreciable Base 215,000
5
43,000 68,800 41,280 24,768 24,768
7,500 7,500
17,268 17.268
2
3
Depreciation
Depreciable Life
Book Value
7,500
10
37,000
5
(29,500))
37,500
215,000
Energy Savings
Salary Savings
Tax Rate
6,000
68,000
WACC
25%
9.50%
Year 0
Year 1
Year 2
Year 3
Year 4
Year 5
Initial Investment
Cost of Machine
(215,000)
After-tax value of old machine
39,375
Net Investment
(175,625)
Annual Savings
74,000
74,000
74.000
74,000
74,000
Depreciation
29,500
29,500
29,500
29,500
29.500
Pre-Tax Operation Income
44,500
44,500
44,500
44,500
44,500
Taxes
11,125
11,125
11,125
11,125
11,125
Add: Depreciation
After-tax Operating Cash Flow
Operating Cash Flows
29.500
29.500
29.500
29.500
29,500
33,375
33,375
33,375
33,375
33,375
62,875
62,875
62,875
62,875
62,875
Terminal Value
Salvage Value
30,000
Total After-tax Cash Flow
(175,625)
62,875
62,875
62.875
62.875
92,875
Discount Factor
Discount Cash Flows
1.00
(175,625)
0.91
57,420
0.83
52,438
0.76
47,889
0.70
43,734
0.64
58,997
Transcribed Image Text:Old Machine Price Salvage for Depreciation Original Life 75,000 0 New Machine Difference 215,000 0 Depreciation Schedules Class 5 10 5 Year 1 Current Life 5 5 New Current Salvage Value 40,000 0 Old Expected Salvage Value 0 30,000 Depreciation Method Straight-line MACRS 7 7 Difference 7,500 7.500 7500 35,500 61,300 33,780 Depreciable Base 215,000 5 43,000 68,800 41,280 24,768 24,768 7,500 7,500 17,268 17.268 2 3 Depreciation Depreciable Life Book Value 7,500 10 37,000 5 (29,500)) 37,500 215,000 Energy Savings Salary Savings Tax Rate 6,000 68,000 WACC 25% 9.50% Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Initial Investment Cost of Machine (215,000) After-tax value of old machine 39,375 Net Investment (175,625) Annual Savings 74,000 74,000 74.000 74,000 74,000 Depreciation 29,500 29,500 29,500 29,500 29.500 Pre-Tax Operation Income 44,500 44,500 44,500 44,500 44,500 Taxes 11,125 11,125 11,125 11,125 11,125 Add: Depreciation After-tax Operating Cash Flow Operating Cash Flows 29.500 29.500 29.500 29.500 29,500 33,375 33,375 33,375 33,375 33,375 62,875 62,875 62,875 62,875 62,875 Terminal Value Salvage Value 30,000 Total After-tax Cash Flow (175,625) 62,875 62,875 62.875 62.875 92,875 Discount Factor Discount Cash Flows 1.00 (175,625) 0.91 57,420 0.83 52,438 0.76 47,889 0.70 43,734 0.64 58,997
Arroy Snackfoods is considering replacing a five-year-old machine that originally cost
$75,000. It was being depreciated using straight-line to an expected salvage value of zero over
its original 10-year life, and could now be sold for $40,000. The replacement machine would
cost $215,000 and have a five-year expected life. It would be depreciated using the MACRS 5-
year class life. The expected salvage value of this machine after 5 years is $30,000. The new
machine is expected to operate much more efficiently, saving $6,000 per year in energy costs.
In addition, it will eliminate one salaried position saving another $68,000 annually. The firm's
marginal tax rate is 25% and the WACC is 9.5%.
a. Set up an operating cash flow statement, and calculate the payback, discounted payback,
NPV, IRR, and MIRR of the replacement project. Should the project be accepted?
b. At what discount rate would you be indifferent between keeping the existing equipment and
purchasing the new equipment?
Transcribed Image Text:Arroy Snackfoods is considering replacing a five-year-old machine that originally cost $75,000. It was being depreciated using straight-line to an expected salvage value of zero over its original 10-year life, and could now be sold for $40,000. The replacement machine would cost $215,000 and have a five-year expected life. It would be depreciated using the MACRS 5- year class life. The expected salvage value of this machine after 5 years is $30,000. The new machine is expected to operate much more efficiently, saving $6,000 per year in energy costs. In addition, it will eliminate one salaried position saving another $68,000 annually. The firm's marginal tax rate is 25% and the WACC is 9.5%. a. Set up an operating cash flow statement, and calculate the payback, discounted payback, NPV, IRR, and MIRR of the replacement project. Should the project be accepted? b. At what discount rate would you be indifferent between keeping the existing equipment and purchasing the new equipment?
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