Question
Octavia bakery is planning to purchase one of two ovens. The expected cash flows for each oven are shown below. The MARR is 10% per year.

Initial Investment Estimated Life End of Life Salvage Annual Income Annual Expense Model 127B $55,000 10 years $10,000 I $19,
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Answer #1

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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