Question

We project unit sales for a new household-use laser-guided cockroach search and destroy system as follows: Unit Sales Year 10
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Answer #1

All figures are in 000’s

Year 1 2 3 4 5
Sales 47235 52875 63685 66505 44415
Depreciation (4400) (4400) (4400) (4400) (4400)
Change in working capital (2100) (846) (1621.5) (423) 3313.5
Variable cost (34170) (38250) (46070) (48110) (32130)
Fixed cost (2400) (2400) (2400) (2400) (2400)
Profit before tax 4165 6979 9193.5 11172 8798.5
Tax (1457.75) (2442.65) (3217.725) (3910.2) (3079.475)
Profit after tax 2707.25 4536.35 5975.775 7261.8 5719.025
End year cash flow 7107.25 8936.35 10375.775 11661.8 10119.25

Notes

  • Sales figure have been calculated as (unit sales)x470
  • Depriciation = 22000000x0.2= $4400000
  • Change in working capital for year t = { (Sales for year t+1) - (Sales for year t) }x0.15   for t = 2, 3, 4, 5
  • Variable cost = (unit sales)x340
  • Tax = Profit before tax x 0.35
  • End year cash flow = Profit after tax + Depriciation.   
t Net cash flow
0 - 22000
1 7107.25
2 8936.35
3 10375.775
4 11661.8
5 10119.25+22000x.2=14519.25

Therefore

NPV = -22000 + 7107.25x 1.16-1 + 8936.35x1.16-2 +10375.775x1.16-3 +11661.8x1.16-4 +14519.25x1.16-5

= 10768.93555

i.e. $10768935.55

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