In: Economics
An offset printing machine has a starting cost of $ 310,000, useful life of 5 years with no salvage value. It will produce income of $ 125,000 the first year, with annual increases of $ 15,000. The costs are $ 60,000 constant over the 5 years. Taxes are paid at a rate of 40% and a 10% annual MARR. Determine the NPV of the investment using a straight line depreciation (your result to two decimal places rounded without the $ symbol and if your result is negative include the - sign)
Using Excel
Year | Untaxed BTCF | Taxed BTCF | SL Dep | Tax income | Tax | ATCF |
0 | -310000 | -310000 | ||||
1 | 65000 | 62000.00 | 3000.00 | 1200.00 | 63800.00 | |
2 | 80000 | 62000.00 | 18000.00 | 7200.00 | 72800.00 | |
3 | 95000 | 62000.00 | 33000.00 | 13200.00 | 81800.00 | |
4 | 110000 | 62000.00 | 48000.00 | 19200.00 | 90800.00 | |
5 | 0 | 125000 | 62000.00 | 63000.00 | 25200.00 | 99800.00 |
NPV | -6,391.59 |
NPW = -6391.59
As NPW is negative, project should not be selected
Showing Formula in Excel
Year | Untaxed BTCF | Taxed BTCF | SL Dep | Tax income | Tax | ATCF |
0 | -310000 | =B2 | ||||
1 | =125000+15000*(A3-1)-60000 | =(310000-0)/5 | =C3-D3 | =E3*0.4 | =C3-F3 | |
2 | =125000+15000*(A4-1)-60000 | =(310000-0)/5 | =C4-D4 | =E4*0.4 | =C4-F4 | |
3 | =125000+15000*(A5-1)-60000 | =(310000-0)/5 | =C5-D5 | =E5*0.4 | =C5-F5 | |
4 | =125000+15000*(A6-1)-60000 | =(310000-0)/5 | =C6-D6 | =E6*0.4 | =C6-F6 | |
5 | 0 | =125000+15000*(A7-1)-60000 | =(310000-0)/5 | =C7-D7 | =E7*0.4 | =C7-F7 |
NPV | =NPV(10%,G3:G7)+G2 |