Ans:
Project X | |||||
Discount rate | 0.12 | ||||
Year | 0 | 1 | 2 | 3 | 4 |
Cash flow stream | -36000 | 18000 | 16000 | 17000 | 16600 |
Discounting factor | 1 | 0.893 | 0.797 | 0.712 | 0.636 |
Discounted cash flows project | -36000 | 16074 | 12752 | 12104 | 10557.6 |
NPV = Sum of discounted cash flows | |||||
NPV Project X = | 15487.6 | ||||
Where | |||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||||
Discounted Cashflow= | Cash flow stream/discounting factor | ||||
PI= 1+ Present value of cash inflow/Initial investment | |||||
= 1+ (15487.60/36000) | |||||
1.43 | |||||
b | |||||
Project Y | |||||
Discount rate | 0.12 | ||||
Year | 0 | 1 | 2 | 3 | 4 |
Cash flow stream | -56000 | 28000 | 21000 | 22000 | 24000 |
Discounting factor | 1 | 0.893 | 0.797 | 0.712 | 0.636 |
Discounted cash flows project | -56000 | 25004 | 16737 | 15664 | 15264 |
NPV = Sum of discounted cash flows | |||||
NPV Project Y = | 16669 | ||||
Where | |||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | ||||
Discounted Cash flow= | Cash flow stream/discounting factor | ||||
PI= 1+ Present value of cash inflow/Initial investment | |||||
= 1+ (16669/56000) | |||||
1.3 | |||||
c | |||||
Choose Project X as it has higher PI |
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