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In: Finance

Market Top Investors, Inc., is considering the purchase of a $365,000 computer with an economic life...

Market Top Investors, Inc., is considering the purchase of a $365,000 computer with an economic life of four years. The computer will be fully depreciated over four years using the straight-line method, at which time it will be worth $114,000. The computer will replace two office employees whose combined annual salaries are $95,000. The machine will also immediately lower the firm’s required net working capital by $84,000. This amount of net working capital will need to be replaced once the machine is sold. The corporate tax rate is 24 percent. The appropriate discount rate is 9 percent. Calculate the NPV of this project. (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Please help figure out where I am making a mistake:

Streight line Method depreciation: Accumulated Depreciation = Cost of Asset/Economic Life
Year 0 1 2 3 4
Savings in annual cost before tax) $95,000 $95,000 $95,000 $95,000
Depreciation Exense ($91,250) ($91,250) ($91,250) ($91,250)
Net Savings before tax $3,750 $3,750 $3,750 $3,750
Less Tax $2,850 $2,850 $2,850 $2,850
After Tax Savings $900 $900 $900 $900
Initial Investemetn ($365,000)
After Tax Salvage Value $     86,640.00
Working Capital $84,000 ($84,000)
Add back depreciation expense $91,250 $91,250 $91,250 $91,250
Net Cash Flow ($281,000) $         92,150.00 $92,150 $92,150 $94,790
PV Factor @9% 1 0.917431193 0.841679993 0.77218348 0.77218348
PV ($281,000) $         84,541.28 $77,560.81 $71,156.71 $73,195.27
NPV $25,454.08

Solutions

Expert Solution

Time line 0 1 2 3 4
Cost of new machine -365000
Initial working capital 84000
=Initial Investment outlay -281000
100.00%
Savings 95000 95000 95000 95000
-Depreciation Cost of equipment/no. of years -91250 -91250 -91250 -91250 0
=Pretax cash flows 3750 3750 3750 3750
-taxes =(Pretax cash flows)*(1-tax) -900 -900 -900 -900
+Depreciation 91250 91250 91250 91250
=after tax operating cash flow 94100 94100 94100 94100
reversal of working capital -84000
+Proceeds from sale of equipment after tax =selling price* ( 1 -tax rate) 86640
+Tax shield on salvage book value =Salvage value * tax rate 0
=Terminal year after tax cash flows 2640
Total Cash flow for the period -281000 94100 94100 94100 96740
Discount factor= (1+discount rate)^corresponding period 1 1.09 1.1881 1.295029 1.4115816
Discounted CF= Cashflow/discount factor -281000 86330.27523 79202.087 72662.465 68533.055
NPV= Sum of discounted CF= 25727.88

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