Question 10.2: The Staple Supply Co. has just purchased a new computerized ...
The Staple Supply Co. has just purchased a new computerized information system with an installed cost of $160,000. The computer is treated as five-year property. What are the yearly depreciation allowances? Based on historical experience, we think that the system will be worth only $10,000 when Staple gets rid of it in four years. What are the tax consequences of the sale? What is the total aftertax cash flow from the sale?
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The yearly depreciation allowances are calculated by just multiplying $160,000 by the five year percentages found in Table 10.7:
TABLE 10.7 Modified ACRS Depreciation Allowances
Property Class |
Year 3-Year 5-Year 7-Year |
1 33.33% 20.00% 14.29%
2 44.44 32.00 24.49 3 14.82 19.20 17.49 4 7.41 11.52 12.49 5 11.52 8.93 6 5.76 8.93 7 8.93 8 4.45 |
Year | MACRS Percentage | Depreciation | Ending Book Value | |
1 | 20.00% | .2000 \times \$160,000 = \$ 32,000 | $ 128,000 | |
2 | 32.00 | .3200 \times 160,000 = 51,200 | 76,800 | |
3 | 19.20 | .1920 \times 160,000 = 30,720 | 46,080 | |
4 | 11.52 | .1152 \times 160,000 = 18,432 | 27,648 | |
5 | 11.52 | .1152 \times 160,000 = 18,432 | 9,216 | |
6 | \underline{5.76} | .0576 \times 160,000 = \underline{9,216} | 0 | |
\underline{\underline{100.00}}% | $\underline{\underline{160.000}}% |
Notice that we have also computed the book value of the system as of the end of each year.
The book value at the end of Year 4 is $27,648. If Staple sells the system for $10,000 at that time, it will have a loss of $17,648 (the difference) for tax purposes. This loss, of course, is like depreciation because it isn’t a cash expense.
What really happens? Two things. First, Staple gets $10,000 from the buyer. Second, it saves .34 × $17,648 = $6,000 in taxes. So the total aftertax cash flow from the sale is a $16,000 cash inflow.