Manning Corporation is considering a new project requiring a
$80,000 investment in test equipment with no salvage value. The
project would produce $67,500 of pretax income before depreciation
at the end of each of the next six years. The company’s income tax
rate is 38%. In compiling its tax return and computing its income
tax payments, the company can choose between the two alternative
depreciation schedules shown in the table. (PV of $1, FV of $1, PVA
of $1, and FVA of $1) (Use MACRS) (Use appropriate
factor(s) from the tables provided.)
Straight-Line Depreciation |
MACRS Depreciation* |
||||||||
Year 1 | $ | 8,000 | $ | 16,000 | |||||
Year 2 | 16,000 | 25,600 | |||||||
Year 3 | 16,000 | 15,360 | |||||||
Year 4 | 16,000 | 9,216 | |||||||
Year 5 | 16,000 | 9,216 | |||||||
Year 6 | 8,000 | 4,608 | |||||||
Totals | $ | 80,000 | $ | 80,000 | |||||
* The modified accelerated cost recovery system (MACRS) for depreciation is discussed in Chapter 8.
. Compute the net present value of the investment if straight-line depreciation is used. Use 8% as the discount rate.
Chart Values are Based on: | |||||
i = | 8% | ||||
Year | Net Cash Inflow | x | PV Factor | = | Present Value |
1 | 44,890 | x | 0.9259 | = | 41,564 |
2 | 47,930 | x | 0.8573 | = | 41,090 |
3 | 47,930 | x | 0.7938 | = | 38,047 |
4 | 47,930 | x | 0.7350 | = | 35,229 |
5 | 47,930 | x | 0.6806 | = | 32,621 |
6 | 44,890 | x | 0.6302 | = | 28,290 |
Present value of cash inflows | 216841 | ||||
Present value of cash outflows | (80,000) | ||||
Net present value | $136,841 | ||||
Workings: | |||||
Income Before Depreciation | Straight-Line Depreciation | Taxable Income | Income Taxes | Net Cash Flows | |
Year 1 | 67,500 | 8,000 | 59,500 | 22,610 | 44,890 |
Year 2 | 67,500 | 16,000 | 51,500 | 19,570 | 47,930 |
Year 3 | 67,500 | 16,000 | 51,500 | 19,570 | 47,930 |
Year 4 | 67,500 | 16,000 | 51,500 | 19,570 | 47,930 |
Year 5 | 67,500 | 16,000 | 51,500 | 19,570 | 47,930 |
Year 6 | 67,500 | 8,000 | 59,500 | 22,610 | 44,890 |
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