You are considering making a movie. The movie is expected to cost
$10.4
million up front and take a year to produce. After that, it is expected to make
$4.3
million in the year it is released and
$1.8
million for the following four years. What is the payback period of this investment? If you require a payback period of two years, will you make the movie? Does the movie have positive NPV if the cost of capital is
10.6%?
If the cost of capital is
10.6 %10.6%,
the NPV is?
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Answer:
NPV = PV of cash Inflows - PV of Cash Outflows
Year | CF | PVF @10.6% | Disc CF |
0 | -10.4 | 1 | -10.4 |
1 | 0.904159132 | 0 | |
2 | 4.3 | 0.817503736 | 3.515266065 |
3 | 1.8 | 0.739153468 | 1.330476243 |
4 | 1.8 | 0.668312358 | 1.202962245 |
5 | 1.8 | 0.604260722 | 1.087669299 |
6 | 1.8 | 0.54634785 | 0.98342613 |
NPV | -2.28 |
Year | Opening Bal | CF | Closing Bal |
1 | 10.4 | 10.4 | |
2 | 10.4 | 4.3 | 6.10 |
3 | 6.10 | 1.8 | 4.30 |
4 | 4.30 | 1.8 | 2.50 |
5 | 2.50 | 1.8 | 0.70 |
6 | 0.70 | 1.8 | -1.10 |
Pay back period is the period in which initial invetsment is recovered.
PBP = Period in which least +ve CB + [ CB in that year / CF in next Year ]
Payback Period: 5.389 years ~ 5.4 YEARS
Project is Rejected as it has -ve NPV and Actual PBP > Expected PBP.
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