In: Economics
03) (30 pts) Suppose a company must choose between two projects (A and B) with the following characteristics: Project A Project B Cost of equipment (investment) $770,000 0 Working capital (investment) 0 $710,000 Cash flow (year 2) $200,000 $250,000 Cash flow (year 3) $270,000 $250,000 Cash flow (year 4) $270,000 $250,000 Cash flow (year 5) $300,000 $250,000 Assume an effective rate of 6% per year. Calculate the NPV for each alternative. Which project should the company choose and why?
Project A | Project B | |||||||||
Year | Cost of Equipment | Cash Inflow | Net Cash flow | PVF @ 6% | PV | Working Capital | Cash Inflow | Net Cash flow | PVF @ 6% | PV |
N | A | B | C=A+B | D=1/1.06^N | E=C*D | F | G | H=F+G | D | I=H*D |
- | -7,70,000 | -7,70,000 | 1.000 | -7,70,000 | -7,10,000 | -7,10,000 | 1.000 | -7,10,000 | ||
1 | - | 0.943 | - | - | 0.943 | - | ||||
2 | 2,00,000 | 2,00,000 | 0.890 | 1,77,999 | 2,50,000 | 2,50,000 | 0.890 | 2,22,499 | ||
3 | 2,70,000 | 2,70,000 | 0.840 | 2,26,697 | 2,50,000 | 2,50,000 | 0.840 | 2,09,905 | ||
4 | 2,70,000 | 2,70,000 | 0.792 | 2,13,865 | 2,50,000 | 2,50,000 | 0.792 | 1,98,023 | ||
5 | 3,00,000 | 3,00,000 | 0.747 | 2,24,177 | 2,50,000 | 2,50,000 | 0.747 | 1,86,815 | ||
NPV (Sum of E) | 72,739 | NPV (Sum of I) | 1,07,242 |
As NPV of Project B is higher it should be accepted.
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