Labeau Products, Ltd., of Perth, Australia, has $20,000 to invest. The company is trying to decide between two alternative uses for the funds as follows:
Invest in Project X |
Invest in Project Y |
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Investment required | $ | 20,000 | $ | 20,000 |
Annual cash inflows | $ | 8,000 | ||
Single cash inflow at the end of 6 years | $ | 50,000 | ||
Life of the project | 6 years | 6 years | ||
The company’s discount rate is 18%.
Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.
Required:
1. Compute the net present value of Project X.
2. Compute the net present value of Project Y.
3. Which project would you recommend the company accept?
1 | ||||||||
computation of net present value of project x | ||||||||
NPV= Annual cash inflow* PVIFA(r%,y) - Cost of investment | ||||||||
=$8000*PVIFA(18%,6)-$20000 | ||||||||
=$8000*3.498 - $20000 | ||||||||
=$7984 | ||||||||
2 | ||||||||
computation of net present value of project Y | ||||||||
NPV= Annual cash inflow* PVIF(r%,y) - Cost of investment | ||||||||
=$50000*PVIF(18%,6)-$20000 | ||||||||
=$50000*0.370 - $20000 | ||||||||
= -$1500 | ||||||||
3 Labeau products ltd. Should accept Project X because its NPV is higher than Project Y NPV. | ||||||||
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