In: Finance
7. Problem 12.09
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NEW PROJECT ANALYSIS You must evaluate a proposal to buy a new milling machine. The base price is $156,000, and shipping and installation costs would add another $13,000. The machine falls into the MACRS 3-year class, and it would be sold after 3 years for $62,400. The applicable depreciation rates are 33%, 45%, 15%, and 7%. The machine would require a $8,000 increase in net operating working capital (increased inventory less increased accounts payable). There would be no effect on revenues, but pretax labor costs would decline by $48,000 per year. The marginal tax rate is 35%, and the WACC is 10%. Also, the firm spent $5,000 last year investigating the feasibility of using the machine.
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The initial cost of 5000 will be treated as sunk cost as it is already incurred and does not have any impact on a project starting acceptance or rejection. Hence this will not have any incremental cash flows. | ||||||||
Tax rate | 35% | |||||||
Year-0 | Year-1 | Year-2 | Year-3 | |||||
Saving in labor cost | 48,000 | 48,000 | 48,000 | |||||
Less: Depreciation as per table given below | 55,770 | 76,050 | 25,350 | |||||
Profit before tax | (7,770) | (28,050) | 22,650 | |||||
Tax | (2,720) | (9,818) | 7,928 | |||||
Profit After Tax | (5,051) | (18,233) | 14,723 | |||||
Add Depreciation | 55,770 | 76,050 | 25,350 | |||||
Cash Profit After tax | 50,720 | 57,818 | 40,073 | |||||
Cost of machine | 169,000 | |||||||
Depreciation | 157,170 | |||||||
WDV | 11,830 | |||||||
Sale price | 62,400 | |||||||
Profit/(Loss) | 50,570 | |||||||
Tax | 17,700 | |||||||
The sale price after tax | 44,701 | |||||||
Depreciation | Year-1 | Year-2 | Year-3 | Total | ||||
Cost | 169,000 | 169,000 | 169,000 | |||||
Dep Rate | 33.00% | 45.00% | 15.00% | |||||
Depreciation | 55,770 | 76,050 | 25,350 | 157,170 | ||||
Calculation of NPV | ||||||||
10.00% | ||||||||
Year | Captial | Working captial | Operating cash | Annual Cash flow | PV factor | Present values | ||
0 | (169,000) | (8,000) | (177,000) | 1.000 | (177,000) | |||
1 | 50,720 | 50,720 | 0.909 | 46,109 | ||||
2 | 57,818 | 57,818 | 0.826 | 47,783 | ||||
3 | 44,701 | 8,000 | 40,073 | 92,773 | 0.751 | 69,702 | ||
Net Present Value | (13,407) | |||||||
Since NPV is negative, the project should not be accepted | ||||||||