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Bloomington Manufacturing Company is considering the purchase of equipment to expand its productive capacity. The equipment i
(2) What is the after tax payback period on this equipment? Round your answer to two decimal places. What is the after tax ne
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Answer #1

(2): Let us first make a depreciation schedule. The annual depreciation rate = 100%/5 years * 2 = 40% per year

Year Opening balance Depreciation (40%) Closing balance
                1                          60,000                               24,000                       36,000
                2                          36,000                               14,400                       21,600
                3                          21,600                                 8,640                       12,960
                4                          12,960                                 5,184                         7,776
                5                            7,776                                 1,776                         6,000

Now let us compute the after tax cash flows and operating cash flow:

YEAR
                   1                    2                    3                    4                    5
Revenue    30,000.00    40,000.00    50,000.00    40,000.00    30,000.00
Expenses    20,000.00    22,000.00    25,000.00    20,000.00    20,000.00
Depreciation    24,000.00    14,400.00      8,640.00      5,184.00      1,776.00
EBIT - 14,000.00      3,600.00    16,360.00    14,816.00      8,224.00
Tax (tax shield) 30%      4,200.00 -   1,080.00 -   4,908.00 -   4,444.80 -   2,467.20
Net income -   9,800.00      2,520.00    11,452.00    10,371.20      5,756.80
EBIT - 14,000.00      3,600.00    16,360.00    14,816.00      8,224.00
Depreciation    24,000.00    14,400.00      8,640.00      5,184.00      1,776.00
Tax (tax shield) 30%      4,200.00 -   1,080.00 -   4,908.00 -   4,444.80 -   2,467.20
Operating cash flow    14,200.00    16,920.00    20,092.00    15,555.20      7,532.80

Next we compute total cash flow:

YEAR
0                    1                    2                    3                    4                    5
Operating cash flow    14,200.00    16,920.00    20,092.00    15,555.20      7,532.80
Capital spending - 60,000.00      6,000.00
Total cash flow - 60,000.00    14,200.00    16,920.00    20,092.00    15,555.20    13,532.80

Thus after tax payback:

Year Cash flow Cumulative cash flow
0 -                 60,000.00 -                           60,000.00
                1                    14,200.00 -                           45,800.00
                2                    16,920.00 -                           28,880.00
                3                    20,092.00 -                             8,788.00
                4                    15,555.20                                6,767.20
                5                    13,532.80

Thus after tax payback = 3 + (8788/15555.20) = 3.56 years

(3): NPV:

Year Cash flow 1+r PVIF PV
0 -                 60,000.00                                        1.11                       1.0000 - 60,000.00
                1                    14,200.00                       0.9009    12,792.79
                2                    16,920.00                       0.8116    13,732.65
                3                    20,092.00                       0.7312    14,691.10
                4                    15,555.20                       0.6587    10,246.69
                5                    13,532.80                       0.5935      8,031.06
NPV -       505.71

NPV = - $ 505.71

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