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You have just landed a consulting position with Hawkesworth Inc. Your first task is to determine if an old bottling machine should be replaced with

You have just landed a consulting position with Hawkesworth Inc. Your first task is to determine if an old bottling machine should be replaced with a new more efficient machine. The projects' data are shown below. The old machine would be depreciated using the straight-line method over its remaining 2-year life, would have a $20,000 salvage value, and has a current market value of $30,000. The new machine will cost $100,000 with added installation costs of $25,000, be depreciated using a 3 years MACRS schedule, 33%, 45%, 15%, and 7%, and have a salvage value of $30,000 after 4 years. An increase in net working capital of $5,000 would be required. Because of production efficiency, the new bottling machine will be able to produce 11,000 bottles per year compared to a production of only 9,000 bottles per year for the old machine. In addition, the new machine is more efficient with a 50% operating cost compared to 65% for the old machine. Unit price, price inflation and cost inflation will be no different between the two machines.

Price $100,000
Freight $0
Installation $25,000
Change in NWC $5,000
Sale of old machine $30,000

Operating Flows and Inflation Rates:

New: Old:
Sales volume 11,000 9,000
Year 0 sales price $10.00 $10.00
Op costs 50.0% 65.0%
Price inflation 4.0% 4.0%
Cost inflation 2.0% 2.0%

Salvage Value, Tax Rate, and Cost of Capital:

New: Old:
Salvage value $30,000 $20,000
Tax rate 40%
Cost of capital 10%
Old Depreciation: 3 yr MACRS Straight Line
Current Book Value $30,000
Life 4 years 2 years remaining

Use the following MACRS schedule:

Years 1 2 3 4
MARCS Factor 33% 45% 15%

7%

What is the NPV of replacing the old machine with the new machine?

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