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.

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