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Dog Up! Franks is looking at a new sausage system with an installed cost of $397

ID: 2751428 • Letter: D

Question

Dog Up! Franks is looking at a new sausage system with an installed cost of $397,800. This cost will be depreciated straight-line to zero over the project's 7-year life, at the end of which the sausage system can be scrapped for $61,200. The sausage system will save the firm $122,400 per year in pretax operating costs, and the system requires an initial investment in net working capital of $28,560. All of the net working capital will be recovered at the end of the project. The tax rate is 33 percent and the discount rate is 9 percent. What is the net present value of this project? Show your calculations!

Explanation / Answer

Initial cash outflow = -397,800 - 28560 = -426,360

Pre tax tax flow each year = 122,400

Year 7 cash flow = 122400 + 61,200 + 28,560= 212,160

Each year machine is depreciated by 397800 / 7 = 56828.57

Each year the company will get a depreciation tax shield on the depreciation amount

So all the cash flows are in the following table

NPV for this project can be calculated as follows

NPV =NPV(9%,G3:G8) - 426360 = 113,665.72

Year Cash flow Tax Rate After tax Cash Flow Machine Depreciation value Depreciation Tax Shield Total net cash flows 0         (426,360.00) 33%          (426,360.00)          56,828.57                            -           (426,360.00) 1            122,400.00 33%              82,008.00          56,828.57            18,753.43            100,761.43 2            122,400.00 33%              82,008.00          56,828.57            18,753.43            100,761.43 3            122,400.00 33%              82,008.00          56,828.57            18,753.43            100,761.43 4            122,400.00 33%              82,008.00          56,828.57            18,753.43            100,761.43 5            122,400.00 33%              82,008.00          56,828.57            18,753.43            100,761.43 6            122,400.00 33%              82,008.00          56,828.57            18,753.43            100,761.43 7            212,160.00 33%            142,147.20          56,828.57            18,753.43            160,900.63
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