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A project has an initial requirement of $205,268 for new equipment and $14,020 for net working...

A project has an initial requirement of $205,268 for new equipment and $14,020 for net working capital. The installation costs to get the new equipment in working condition are 14,481. The fixed assets will be depreciated to a zero book value over the 5-year life of the project and have an estimated salvage value of $77,779. All of the net working capital will be recouped at the end of the project. The annual operating cash flow is $80,130 and the cost of capital is 15% What is the project's NPV if the tax rate is 39%?

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Expert Solution

Year Formula 0 1 2 3 4 5
New Equipment -205,268.00 0.00 0.00 0.00 0.00 0.00
Net working capital -14,020.00 0.00 0.00 0.00 0.00 14,020.00
Installation Cast -14,481.00 0.00 0.00 0.00 0.00 0.00
Salvage Value 0.00 0.00 0.00 0.00 0.00 77,779.00
Operating cash flow post tax 0.00 66,019.72 66,019.72 66,019.72 66,019.72 66,019.72
Total -233,769.00 66,019.72 66,019.72 66,019.72 66,019.72 157,818.72
Discounting factor 1/(1.15^N) 1.00 0.87 0.76 0.66 0.57 0.50
PV Total * discounting factor -233,769.00 57,408.45 49,920.39 43,409.04 37,746.99 78,463.80
NPV (Sum of all PV) 33179.6748
Workings
Operating cash flow 0.00 80,130.00 80,130.00 80,130.00 80,130.00 80,130.00
Tax X * .39 0.00 31,250.70 31,250.70 31,250.70 31,250.70 31,250.70
Depreciation tax save ((205268+14481)/5)*0.39 0.00 17,140.42 17,140.42 17,140.42 17,140.42 17,140.42
Operating Cash Flow post Tax Cash Flow -Tax + Save 66,019.72 66,019.72 66,019.72 66,019.72 66,019.72

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