In: Finance
Project | X | Y | Z | |
NPV | $ 2,234 | $ 2,789.50 | $ 453.00 | |
IRR | 17.95% | 16.25% | 8.56% | |
Modified IRR | 19.41% | 18.25% | 9.55% | |
Payback Period | 2.06 | |||
Discounted Pay Back Period | 2.37 | 2.44 | 5.33 | |
WACC | = 10% | |||
For Project X | ||||
Computation of NPV | ||||
Year | Cashflows | PVF@ 10% | PV | |
A | 0 | $ (8,000) | 1 | $ (8,000) |
PV of Cash Outflows | $ (8,000) | |||
B | 1 | $ 4,100 | 0.9091 | $ 3,727.27 |
2 | $ 3,600 | 0.8264 | $ 2,975.21 | |
3 | $ 4,700 | 0.7513 | $ 3,531.18 | |
$ 10,233.66 | ||||
C | NPV | = B-A | $ 2,233.66 | |
Computation of Payback Period | ||||
Year | Cashflows | Cummulative Cashflows | ||
0 | $ (8,000) | |||
1 | $ 4,100 | $ 4,100 | ||
2 | $ 3,600 | $ 7,700 | ||
3 | $ 4,700 | |||
Payback Period = | 2 years+ {(8000 - 7700) / 4700} | |||
= | 2.06 | years | ||
Computing Discounted Payback period | ||||
Year | Cashflows | PVF@ 10% | PV | |
0 | $ (8,000) | 1 | ||
1 | $ 4,100 | 0.9091 | $ 3,727 | |
2 | $ 3,600 | 0.8264 | $ 2,975 | |
3 | $ 4,700 | 0.7513 | $ 3,531 | |
Payback Period = | 2 years+ {(8000 - 6702) / 3531} | |||
= | 2.37 | years | ||
Computing Modified IRR | ||||
Interim Cash inflows Invested @ WACC(10%) upto 3years | ||||
Year | Cashflows | FVF | FV | |
1 | $ 4,100 | 1.21 | $ 4,961 | |
2 | $ 3,600 | 1.1 | $ 3,960 | |
3 | $ 4,700 | 1 | $ 4,700 | |
Cash Inflows at end of Year 3 | $ 13,621 | |||
0 | $ (8,000) | 1 | $ (8,000) | |
PV of Cash Outflows | $ (8,000) | |||
Given Options | PVF for 3 years | |||
11% | 0.7312 | $ 9,960 | ||
19.41% | 0.5873 | $ 8,000 | ||
8.88% | 0.7747 | $ 10,553 | ||
15.64% | 0.6467 | $ 8,808 | ||
For Modified IRR, | ||||
PV of Cash Inflows | = | PV of Cash Outflows | ||
$13621 * PVF(x%,3rd year) | = | $ 8,000 | ||
Therefore, | Modified IRR | = | 19.41% | |
Project | X | Y | Z | |
NPV | $ 2,234 | $ 2,789.50 | $ 453.00 | |
5 | If Projects are Independent, all the Projects with Positive NPV can be Slected. | |||
Ans: | X,Y & Z | |||
6 | If Projects are Mutually Exclusive, Project with Highest NPV Should be Selected | |||
Ans: | Only Y | |||
7 | If Projects are Independent, all the Projects with Modified IRR which are greaterthan WACC can be Slected. | |||
Ans: |
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