In: Finance
Geary Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $950,400 is estimated to result in $316,800 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 $138,600. The press also requires an initial investment in spare parts inventory of $39,600, along with an additional $5,940 in inventory for each succeeding year of the project. Required : If the shop's tax rate is 32 percent and its discount rate is 18 percent, what is the NPV for this project? (Do not round your intermediate calculations.)
Answer choices:
$-143,024.24
$-139,300.41
$-227,934.08
$-150,175.45
$-135,873.03
| Tax rate | 32% | ||||||
| Year-0 | Year-1 | Year-2 | Year-3 | Year-4 | |||
| Contribution | 316,800 | 316,800 | 316,800 | 316,800 | |||
| Less: Depreciation as per table given below | 190,080 | 304,128 | 182,477 | 109,486 | |||
| Profit before tax | 126,720 | 12,672 | 134,323 | 207,314 | |||
| Tax | 40,550 | 4,055 | 42,983 | 66,340 | |||
| Profit After Tax | 86,170 | 8,617 | 91,340 | 140,973 | |||
| Add Depreciation | 190,080 | 304,128 | 182,477 | 109,486 | |||
| Cash Profit After tax | 276,250 | 312,745 | 273,817 | 250,460 | |||
| Cost of macine | 950,400 | ||||||
| Depreciation | 786,171 | ||||||
| WDV | 164,229 | ||||||
| Sale price | 138,600 | ||||||
| Profit/(Loss) | (25,629) | ||||||
| Tax | (8,201) | ||||||
| Sale price after tax | 146,801 | ||||||
| Depreciation | Year-1 | Year-2 | Year-3 | Year-4 | Total | ||
| Cost | 950,400 | 950,400 | 950,400 | 950,400 | |||
| Dep Rate | 20.00% | 32.00% | 19.20% | 11.52% | |||
| Deprecaition | 190,080 | 304,128 | 182,477 | 109,486 | 786,171 | ||
| Calculation of NPV | |||||||
| 18.00% | |||||||
| Year | Captial | Working captial | Operating cash | Annual Cash flow | PV factor | Present values | |
| 0 | (950,400) | (39,600) | (990,000) | 1.000 | (990,000.00) | ||
| 1 | (5,940) | 276,250 | 270,310 | 0.847 | 229,075.93 | ||
| 2 | (5,940) | 312,745 | 306,805 | 0.718 | 220,342.55 | ||
| 3 | (5,940) | 273,817 | 267,877 | 0.609 | 163,037.95 | ||
| 4 | 146,801 | 57,420 | 250,460 | 454,681 | 0.516 | 234,519.33 | |
| Net Present Value | (143,024.24) | ||||||
| So option A is correct | |||||||