Question

Aday Acoustics, Inc., projects unit sales for a new 7-octave voice emulation implant as follows: Year Unit Sales 78,000 83,40

Year 2 voor AWN Property Class Three-Year Five-Year 33.33% 20.00% 44.45 32.00 14.81 19.20 7.41 11.52 11.52 5.76 Seven-Year 14

What is the NPV of the project? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.1

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Answer #1
Time line 0 1 2 3 4 5
Cost of new machine -19700000
Initial working capital -1600000
=Initial Investment outlay -21300000
7 years MACR rate 14.29% 24.49% 17.49% 12.49% 8.93% 22.31%
Unit sales 78000 83400 90200 86300 74300
Profits =no. of units sold * (sales price - variable cost) 14196000 15178800 16416400 15706600 13522600
Fixed cost -4400000 -4400000 -4400000 -4400000 -4400000
-Depreciation =Cost of machine*MACR% -2815130 -4824530 -3445530 -2460530 -1759210 4395070 =Salvage Value
=Pretax cash flows 6980870 5954270 8570870 8846070 7363390
-taxes =(Pretax cash flows)*(1-tax) 5235652.5 4465702.5 6428152.5 6634552.5 5522542.5
+Depreciation 2815130 4824530 3445530 2460530 1759210
=after tax operating cash flow 8050782.5 9290232.5 9873682.5 9095082.5 7281752.5
Working capital during the project (N+1 sales-N sales)*0.15 -272970 -343740 197145 606600
reversal of working capital 1412965
+Proceeds from sale of equipment after tax =selling price* ( 1 -tax rate) 2955000
+Tax shield on salvage book value =Salvage value * tax rate 1098767.5
=Terminal year after tax cash flows 5466732.5
Total Cash flow for the period -21300000 7777812.5 8946492.5 10070827.5 9701682.5 12748485
Discount factor= (1+discount rate)^corresponding period 1 1.18 1.3924 1.643032 1.9387778 2.2877578
Discounted CF= Cashflow/discount factor -21300000 6591366.525 6425231.614 6129416.53 5004019.9 5572480.3
NPV= Sum of discounted CF= 8422514.86
Total Cash flow for the period -21300000 7777812.5 8946492.5 10070827.5 9701682.5 12748485
Discount factor= (1+discount rate)^corresponding period 1 1.331184247 1.772051501 2.358927043 3.1401665 4.1801402
Discounted CF= Cashflow/discount factor -21300000 5842776.847 5048663.934 4269240.767 3089544 3049774.5
NPV= Sum of discounted CF= 0.00
IRR is discount rate at which NPV = 0 = 33.12%
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