Following is information on two alternative investments being
considered by Tiger Co. The company requires a 12% return from its
investments. (PV of $1, FV of $1, PVA of $1, and FVA of $1)
(Use appropriate factor(s) from the tables
provided.)
Project X1 | Project X2 | |||||||||
Initial investment | $ | (80,000 | ) | $ | (120,000 | ) | ||||
Expected net cash flows in year: | ||||||||||
1 | 25,000 | 60,000 | ||||||||
2 | 35,500 | 50,000 | ||||||||
3 | 60,500 | 40,000 | ||||||||
a. Compute each project’s net present value.
b. Compute each project’s profitability index. If
the company can choose only one project, which should it
choose?
Answer- a)-The net present value of Project X1 = $13687.
Explanation-
Calculation of Project X1 Net Present Value | |||
Net Cash Flows $ (a) | Present Value of 1 at 12% (b) | Present Value of cash flows (c=a*b) $ | |
Year 1 | 25000 | 0.8929 | 22323 |
Year 2 | 35500 | 0.7972 | 28301 |
Year 3 | 60500 | 0.7118 | 43064 |
Totals | |||
Total present value of cash inflow (a) | 93687 | ||
Total cash outflow (b) | 80000 | 1 | 80000 |
Net Present Value $ (c=a-b) | 13687 |
The net present value of Project X2 = $1906.
Explanation-
Calculation of Project X2 Net Present Value | |||
Net Cash Flows $ (a) | Present Value of 1 at 12% (b) | Present Value of cash flows (c=a*b) $ | |
Year 1 | 60000 | 0.8929 | 53574 |
Year 2 | 50000 | 0.7972 | 39860 |
Year 3 | 40000 | 0.7118 | 28472 |
Totals | |||
Total present value of cash inflow (a) | 121906 | ||
Total cash outflow (b) | 120000 | 1 | 120000 |
Net Present Value $ (c=a-b) | 1906 |
b)-
Calculation of Project Profitability Index | ||
Particulars | Projects | |
X1 | X2 | |
Net Present Value $ (A) | 13687 | 1906 |
Investment required $ (B) | 80000 | 120000 |
Profitability Index C=A/B | 0.17 | 0.02 |
If the company can choose only one project, Project X1 should be choose.
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