Question
Central Laundry and Cleaners is considering replacing an existing piece of machinery with a more sophisticated machine. The old machine was purchased 3 years ago
Central Laundry and Cleaners is considering replacing an existing piece of machinery with a more sophisticated machine. The old machine was purchased 3 years ago at a cost of $46,000,and this amount was being depreciated under MACRS using a 5-year recovery period. The machine has 5 years of usable life remaining. The new machine that is being considered costs $76,500 and requires $3,800in installation costs. The new machine would be depreciated under MACRS using a 5-year recovery period. The firm can currently sell the old machine for $54,100 without incurring any removal or cleanup costs. The firm is subject to a tax rate of 40% The revenues and expenses (excluding depreciation and interest) associated with the new and the old machines for the next 5 years are given in the table (Table contains the applicable MACRS depreciation percentages.) Note: The new machine will have no terminal value at the end of 5 years.
New machine | Old machine | ||||
Year | Revenue | Expenses (excluding depreciation and interest) | Revenue | Expenses (excluding depreciation and interest) | |
1 | $750,500 | $@CNUM{720700} | $@CNUM{674100} | $@CNUM{659900} | |
2 | 750500 | 720700 | 676100 | 659900 | |
3 | 750500 | 720700 | 680100 | 659900 | |
4 | 750500 | 720700 | 678100 | 659900 | |
5 | 750500 | 720700 | 674100 | 659900 |
Rounded Depreciation Percentages by Recovery Year Using MACRS for First Four Property Classes | ||||
Percentage by recovery year* | ||||
Recovery year | 3 years | 5 years | 7 years | 10 years |
1 | 33% | 20% | 14% | 10% |
2 | 45% | 32% | 25% | 18% |
3 | 15% | 19% | 18% | 14% |
4 | 7% | 12% | 12% | 12% |
5 | 12% | 9% | 9% | |
6 | 5% | 9% | 8% | |
7 | 9% | 7% | ||
8 | 4% | 6% | ||
9 | 6% | |||
10 | 6% | |||
11 | 4% | |||
Totals | 100% | 100% | 100% | 100% |
a. Calculate the initial investment associated with replacement of the old machine by the new one.
b. Determine the incremental operating cash inflows associated with the proposed replacement. (Note: Be sure to consider the depreciation in year 6.)
c. Depict on a time line the relevant cash flows found in parts (a)and (b)associated with the proposed replacement decision.
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