Answer:
A.
Particulars | Model 127B | Model 334A | |
Initial Investment | $ 55,000.00 | $ 85,000.00 | |
Useful Life | 10 Years | 15 Years | |
Annual Income | 19,400.00 | 26,000.00 | |
Annual Expenses | $ 10,000.00 | $ 6,000.00 | |
Net Cash flow | $ 9,400.00 | $ 20,000.00 | |
Cash inflow per Annuam | $ 9,400.00 | $ 20,000.00 | |
Salvage Value | $ 10,000.00 | $ - | |
Depreciation per annuam = (Cost - Salvage )/ Useful life | $ 4,500.00 | $ 5,666.67 | |
Annuity Factor at 10% for 10 years & 15 Years | $ 6.14 | $ 7.61 | |
Present Value of Inflow | $ 61,614.36 | $ 152,121.59 | |
Present Value of Outflow | $ 55,000.00 | $ 85,000.00 | |
NPV = PVI - PVO | $ 6,614.36 | $ 67,121.59 | |
Equivalent Annual Benefit | $ 1,076.46 | $ 8,824.73 | |
Decision: Since Model 334A has the Most EAB ( Equated Annual Benefit ), it may be selected. |
Working Notes:
Cash flow diagram | b | a | a-b | |||||
Year | Model 127B | Model 334A | PVF @ 10% | DCF - Model 127B | DCF - Model 334A | Incremental flow | DCF | |
0 | Initial Cost | $ (55,000.00) | $ (85,000.00) | 1.000 | (55,000.00) | (85,000.00) | $ (30,000.00) | (30,000.00) |
1 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.909 | 8,545.45 | 18,181.82 | $ (10,600.00) | 10,600.00 |
2 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.826 | 7,768.60 | 16,528.93 | $ (10,600.00) | 10,600.00 |
3 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.751 | 7,062.36 | 15,026.30 | $ (10,600.00) | 10,600.00 |
4 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.683 | 6,420.33 | 13,660.27 | $ (10,600.00) | 10,600.00 |
5 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.621 | 5,836.66 | 12,418.43 | $ (10,600.00) | 10,600.00 |
6 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.564 | 5,306.05 | 11,289.48 | $ (10,600.00) | 10,600.00 |
7 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.513 | 4,823.69 | 10,263.16 | $ (10,600.00) | 10,600.00 |
8 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.467 | 4,385.17 | 9,330.15 | $ (10,600.00) | 10,600.00 |
9 | Net Income | $ 9,400.00 | $ 20,000.00 | 0.424 | 3,986.52 | 8,481.95 | $ (10,600.00) | 10,600.00 |
10 | Net Income | $ 19,400.00 | $ 20,000.00 | 0.386 | 7,479.54 | 7,710.87 | $ (600.00) | 600.00 |
11 | Net Income | $ - | $ 20,000.00 | 0.350 | - | 7,009.88 | $ (20,000.00) | 20,000.00 |
12 | Net Income | $ - | $ 20,000.00 | 0.319 | - | 6,372.62 | $ (20,000.00) | 20,000.00 |
13 | Net Income | $ - | $ 20,000.00 | 0.290 | - | 5,793.29 | $ (20,000.00) | 20,000.00 |
14 | Net Income | $ - | $ 20,000.00 | 0.263 | - | 5,266.63 | $ (20,000.00) | 20,000.00 |
15 | Net Income | $ - | $ 20,000.00 | 0.239 | - | 4,787.84 | $ (20,000.00) | 20,000.00 |
Present value of out flow | (55,000.00) | (85,000.00) | (30,000.00) | |||||
Present value of inflow | 61,614.36 | 152,121.59 | 196,000.00 | |||||
NPV | 6,614.36 | 67,121.59 | 166,000.00 | |||||
Annuity Factor at 10% for 10 years & 15 Years | $ 6.14 | $ 7.61 | ||||||
Equivalent Annual Benefit | 1,076.46 | 8,824.73 |
B.
Oven Model 334A Should purchase since Equated Annual Benefit of Oven Model 334A is more than Oven Model 127B.
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