In: Finance
Table 1. Data
Project |
Initial investment ($) |
Annual Net Cash Flow ($) |
Life (years) |
A |
12,000 |
2,000 |
7 |
B |
6,000 |
3,000 |
4 |
C |
5,000 |
2,500 |
7 |
D |
2,000 |
1,500 |
8 |
Table 2. Solution Format
Bundle |
Project |
Total Initial Investment ($) |
PW of Bundle at 7% ($) |
1 |
|||
2 |
|||
3 |
|||
…etc. |
1] | The NPVs are calculated below: | ||||||
Project | Initial Investment | Annual Net Cash Flow | Life in Years | PVIFA at 7% | PV of Annual Cash Inflows | NPV | |
A | $ 12,000 | $ 2,000 | 7 | 5.3893 | $ 10,779 | $ (1,221) | |
B | $ 6,000 | $ 3,000 | 4 | 3.3872 | $ 10,162 | $ 4,162 | |
C | $ 5,000 | $ 2,500 | 7 | 5.3893 | $ 13,473 | $ 8,473 | |
D | $ 2,000 | $ 1,500 | 8 | 5.9713 | $ 8,957 | $ 6,957 | |
Project A is to be rejected, as it has negative NPV. | |||||||
Other three projects are acceptable as they have positive NPVs. | |||||||
2] | Bundle | Projects | Initial Investment | PW of Bundle | Unutilized Budget | ||
1 | B,C | $ 11,000 | $ 12,635 | $ 1,000 | |||
2 | B,D | $ 8,000 | $ 11,119 | $ 4,000 | |||
3 | C,D | $ 7,000 | $ 15,430 | $ 5,000 | |||
DECISION: | |||||||
The bundle 3 gives the maximum PW. Hence, it is to be chosen. However, the | |||||||
unutilized budget is highest for it, |