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?
|
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 | ||||||