(a): (i):
Years | A's cash flow | Cumulative cash flow of A | B's cash flow | Cumulative cash flow of B | C's cash flow | Cumulative cash flow of C |
- | - 350,000 | - 350,000 | - 350,000 | - 350,000 | - 350,000 | - 350,000 |
1 | 100,000 | - 250,000 | 40,000 | - 310,000 | 200,000 | - 150,000 |
2 | 110,000 | - 140,000 | 100,000 | - 210,000 | 150,000 | - |
3 | 104,000 | - 36,000 | 210,000 | - | 240,000 | |
4 | 112,000 | 76,000 | 260,000 | 40,000 | ||
5 | 138,000 | 160,000 | ||||
6 | 160,000 | |||||
7 | 180,000 |
A's payback = 3 + 36000/112000 = 3.32 years.
B's payback = 3 years and C's payback = 2 years
(ii): Two benefits of payback are - (1) It is simple both in terms of concept as well as application (2) It is a rough and ready method for dealing with risk. Since earlier cash inflows are emphasized it is good tool when a firm is facing liquidity problems.
(iii) Two limitations of IRR method are: (1): IRR computation becomes problematic when the cash flows are unconventional (2) IRR may lead to incorrect decisions when comparing mutually exclusive decisions
(b): (i): As there are no taxes the impact of depreciation can be ignored as there will be no tax shield on depreciation.
Years | A's cash flow | B's cash flow | C's cash flow | 1+r | PVIF | PV of A | PV of B | PV of C |
- | - 350,000 | - 350,000 | - 350,000 | 1.20 | 1.0000 | - 350,000 | - 350,000 | - 350,000 |
1 | 100,000 | 40,000 | 200,000 | 0.8333 | 83,333 | 33,333 | 166,667 | |
2 | 110,000 | 100,000 | 150,000 | 0.6944 | 76,389 | 69,444 | 104,167 | |
3 | 104,000 | 210,000 | 240,000 | 0.5787 | 60,185 | 121,528 | 138,889 | |
4 | 112,000 | 260,000 | 40,000 | 0.4823 | 54,012 | 125,386 | 19,290 | |
5 | 138,000 | 160,000 | - | 0.4019 | 55,459 | 64,300 | - | |
6 | 160,000 | - | - | 0.3349 | 53,584 | - | - | |
7 | 180,000 | - | - | 0.2791 | 50,235 | - | - | |
NPV | 83,197.23 | 63,991.77 | 79,012.35 |
(ii): Two limitations of payback are: (1) It does not account for time value of money (2) It ignores cash flows beyond the payback period
(c): On the basis of financial considerations C should be selected as it has the lowest payback and the highest IRR.
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