Labeau Products, Ltd., of Perth, Australia, has $25,000 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 | |||
Investment required | $ | 25,000 | $ | 25,000 |
Annual cash inflows | $ | 8,000 | ||
Single cash inflow at the end of 6 years | $ | 60,000 | ||
Life of the project | 6 years | 6 years | ||
The company’s discount rate is 16%.
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?
Explanation
1.
Project X:
Now | Years 1-6 | |||||||||||
Initial investment | $ | (25,000 | ) | |||||||||
Annual cash inflows | $ | 8,000 | ||||||||||
Total cash flows (a) | $ | (25,000 | ) | $ | 8,000 | |||||||
Discount factor (16%) (b) | 1.000 | 3.685 | ||||||||||
Present value (a) × (b) | $ | (25,000 | ) | $ | 29,480 | |||||||
Net present value | $ | 4,480 | ||||||||||
2.
Project Y:
Now | Year 6 | |||||||||||
Initial investment | $ | (25,000 | ) | |||||||||
Single cash inflow | $ | 60,000 | ||||||||||
Total cash flows (a) | $ | (25,000 | ) | $ | 60,000 | |||||||
Discount factor (16%) (b) | 1.000 | 0.410 | ||||||||||
Present value (a) × (b) | $ | (25,000 | ) | $ | 24,600 | |||||||
Net present value | $ | (400 | ) | |||||||||
3.
Project X should be selected. Project Y does not provide the required 16% return, as shown by its negative net present value.
Thanks
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