In: Finance
Geary Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $768,000 is estimated to result in $256,000 in annual pretax cost savings. The press falls in the MACRS five-year class (MACRS Table), and it will have a salvage value at the end of the project of $112,000. The press also requires an initial investment in spare parts inventory of $32,000, along with an additional $4,800 in inventory for each succeeding year of the project. |
Required : |
If the shop's tax rate is 33 percent and its discount rate is 16 percent, what is the NPV for this project? (Do not round your intermediate calculations.) |
0 | 1 | 2 | 3 | 4 | ||
Pretax cost savings | $ 2,56,000 | $ 2,56,000 | $ 2,56,000 | $ 2,56,000 | ||
Depreciation | $ 1,53,600 | $ 2,45,760 | $ 1,47,456 | $ 88,474 | ||
Incremental NOI | $ 1,02,400 | $ 10,240 | $ 1,08,544 | $ 1,67,526 | ||
Tax at 33% | $ 33,792 | $ 3,379 | $ 35,820 | $ 55,284 | ||
NOPAT | $ 68,608 | $ 6,861 | $ 72,724 | $ 1,12,243 | ||
Add: Depreciation | $ 1,53,600 | $ 2,45,760 | $ 1,47,456 | $ 88,474 | ||
Incremental OCF | $ 2,22,208 | $ 2,52,621 | $ 2,20,180 | $ 2,00,716 | ||
Capital expenditure | $ 7,68,000 | $ -1,18,834 | [See note below for after tax salvage value] | |||
Change in NWC | $ 32,000 | $ 4,800 | $ 4,800 | $ 4,800 | $ -46,400 | |
FCF | $ -8,00,000 | $ 2,17,408 | $ 2,47,821 | $ 2,15,380 | $ 3,65,951 | |
PVIF at 16% | 1 | 0.86207 | 0.74316 | 0.64066 | 0.55229 | |
PV at 16% | $ -8,00,000 | $ 1,87,421 | $ 1,84,171 | $ 1,37,985 | $ 2,02,111 | |
NPV | $ -88,312 | |||||
After tax salvage value: | ||||||
Salvage value at EOY 4 | 112000 | |||||
Book value = 768000*17.28% = | 132710 | |||||
Loss on sale | 20710 | |||||
Tax shield on loss at 33% | 6834 | |||||
After tax salvage value = 112000+6834 = | 118834 |