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
$ 52 comma 400$52,400,
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
$ 75 comma 300$75,300
and requires
$ 3 comma 500$3,500
in 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
$ 55 comma 900$55,900
without incurring any removal or cleanup costs. The firm is subject to a tax rate of
40 %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
New machine | Old machine |
| |||
Year | Revenue | Expenses (excluding depreciation and interest) | Revenue | Expenses (excluding depreciation and interest) | |
1 | $ 749 comma 400$749,400 | $ 719 comma 800$719,800 | $ 674 comma 500$674,500 | $ 660 comma 700$660,700 | |
2 | 749 comma 400749,400 | 719 comma 800719,800 | 676 comma 500676,500 | 660 comma 700660,700 | |
3 | 749 comma 400749,400 | 719 comma 800719,800 | 680 comma 500680,500 | 660 comma 700660,700 | |
4 | 749 comma 400749,400 | 719 comma 800719,800 | 678 comma 500678,500 | 660 comma 700660,700 | |
5 | 749 comma 400749,400 | 719 comma 800719,800 | 674 comma 500674,500 | 660 comma 700 |
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 | 3333% | 2020% | 1414% | 1010% | |
2 | 4545% | 3232% | 2525% | 1818% | |
3 | 1515% | 1919% | 1818% | 1414% | |
4 | 77% | 1212% | 1212% | 1212% | |
5 | 1212% | 99% | 99% | ||
6 | 55% | 99% | 88% | ||
7 | 99% | 77% | |||
8 | 44% | 66% | |||
9 | 66% | ||||
10 | 66% | ||||
11 | 44% | ||||
Totals | 100100% | 100100% | 100100% | 100100% | |
*These percentages have been rounded to the nearest whole percent to simplify calculations while retaining realism. To calculate the actual depreciation for tax purposes, be sure to apply the actual unrounded percentages or directly apply double-declining balance (200%) depreciation using the half-year convention. |
. (Table contains the applicable MACRS depreciation percentages.) Note:The new machine will have no terminal value at the end of 5 years.
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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