In: Finance
Oregon Forest Products will acquire new equipment that falls under the five-year MACRS category. The cost is $220,000. If the equipment is purchased, the following earnings before depreciation and taxes will be generated for the next six years. Use Table 12-12. Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Earnings before Depreciation | |||||
Year 1 | $ | 76,000 | |||
Year 2 | 73,000 | ||||
Year 3 | 56,000 | ||||
Year 4 | 38,000 | ||||
Year 5 | 27,000 | ||||
Year 6 | 22,000 | ||||
The firm is in a 35 percent tax bracket and has a 12 percent cost
of capital.
The net present value is equal to present value of cash inflow less present value of cash outflow | ||||||||
Calculation of depreciation using 5-year MACRS rate | ||||||||
Year | MACRS Rate | Depreciable amount | Depreciation | |||||
1 | 20% | 220000 | 44000 | |||||
2 | 32% | 220000 | 70400 | |||||
3 | 19.20% | 220000 | 42240 | |||||
4 | 11.50% | 220000 | 25300 | |||||
5 | 11.50% | 220000 | 25300 | |||||
6 | 5.80% | 220000 | 12760 | |||||
Calculation of NPV | ||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | |
Earnings before depreciation | 76000 | 73000 | 56000 | 38000 | 27000 | 22000 | ||
Less: Depreciation | 44000 | 70400 | 42240 | 25300 | 25300 | 12760 | ||
Income before tax | 32000 | 2600 | 13760 | 12700 | 1700 | 9240 | ||
Tax @ 35% | 11200 | 910 | 4816 | 4445 | 595 | 3234 | ||
Income after tax | 20800 | 1690 | 8944 | 8255 | 1105 | 6006 | ||
Add: Depreciation | 44000 | 70400 | 42240 | 25300 | 25300 | 12760 | ||
Free cash flow | -220000 | 64800 | 72090 | 51184 | 33555 | 26405 | 18766 | |
Discount factor @ 12% | 1 | 0.89286 | 0.79719 | 0.71178 | 0.63552 | 0.56743 | 0.50663 | |
Present value | -$220,000.00 | $57,857.14 | $57,469.71 | $36,431.76 | $21,324.81 | $14,982.91 | $9,507.44 | |
Net present value | -$22,426.24 | |||||||
Since the net present value is negative, the equipment should not be purchased. | ||||||||