In: Accounting
Following is information on two alternative investments being
considered by Jolee Company. The company requires a 8% 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 A | Project B | |||||||||
| Initial investment | $ | (184,325 | ) | $ | (154,960 | ) | ||||
| Expected net cash flows in year: | ||||||||||
| 1 | 50,000 | 29,000 | ||||||||
| 2 | 60,000 | 55,000 | ||||||||
| 3 | 75,295 | 48,000 | ||||||||
| 4 | 78,400 | 83,000 | ||||||||
| 5 | 71,000 | 22,000 | ||||||||
a. For each alternative project compute the net
present value.
b. For each alternative project compute the
profitability index. If the company can only select one project,
which should it choose?
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| Answer =1 | ||||||
| CACULATION OF PRESTN VALUE OF THE PROJECT A | ||||||
| Period | Particulars | Amount | PVF @ 8% | Present Value | ||
| 0 | Outflow | $ -1,84,325.00 | $ 1.000 | $ -1,84,325.00 | ||
| 1 | Inflow | $ 50,000.00 | $ 0.926 | $ 46,296.30 | ||
| 2 | Inflow | $ 60,000.00 | $ 0.857 | $ 51,440.33 | ||
| 3 | Inflow | $ 75,295.00 | $ 0.794 | $ 59,771.60 | ||
| 4 | Inflow | $ 78,400.00 | $ 0.735 | $ 57,626.34 | ||
| 5 | Inflow | $ 71,000.00 | $ 0.681 | $ 48,321.41 | ||
| Total | $ 79,130.97 | |||||
| CACULATION OF PROFITABILITY INDEX OF PROJECT A | ||||||
| Profitability Index = 1 + Net present Value / Initial investment | ||||||
| Profitability Index = 1 + | $ 79,130.97 | "/" By | $ 1,84,325.00 | |||
| Profitability Index = 1 + | $ 0.43 | |||||
| Profitability Index = 1.43 | ||||||
| Answer =2 | ||||||
| CACULATION OF PRESTN VALUE OF THE PROJECT B | ||||||
| Period | Particulars | Amount | PVF @ 8% | Present Value | ||
| 0 | Outflow | $ -1,54,960.00 | $ 1.000 | $ -1,54,960.00 | ||
| 1 | Inflow | $ 29,000.00 | $ 0.926 | $ 26,851.85 | ||
| 2 | Inflow | $ 55,000.00 | $ 0.857 | $ 47,153.64 | ||
| 3 | Inflow | $ 48,000.00 | $ 0.794 | $ 38,103.95 | ||
| 4 | Inflow | $ 83,000.00 | $ 0.735 | $ 61,007.48 | ||
| 5 | Inflow | $ 22,000.00 | $ 0.681 | $ 14,972.83 | ||
| Total | $ 33,129.74 | |||||
| CACULATION OF PROFITABILITY INDEX OF PROJECT B | ||||||
| Profitability Index = 1 + Net present Value / Initial investment | ||||||
| Profitability Index = 1 + | $ 33,129.74 | "/" By | $ 1,54,960.00 | |||
| Profitability Index = 1 + | $ 0.21 | |||||
| Profitability Index = 1.21 | ||||||
| Note: If we have to select any one of the project from the Project A & prject B then we | ||||||
| can select the onlu Project A because the NPV and Profitability index of the Project A | ||||||
| is greater than Project B. | ||||||
| Decision: Select the Project A | ||||||