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2. A special power tool (costs $200,000) with a 5-year MACRS life and no salvage is to be used for 10 years. Compute the afte
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The ATCF for each year and the PVs of the cash flows are calculated in the table below:
Year BTCF Depreciation Rate [%] Depreciation Taxable Income Tax at 24% ATCF PVIF at 18% PV at 18%
0 $    (200,000) $   (200,000) 1.00000 $     (200,000)
1 $        44,000 20.00 $             40,000 $            4,000 $                  960 $        43,040 0.84746 $          36,475
2 $        44,000 32.00 $             64,000 $        (20,000) $            (4,800) $        48,800 0.71818 $          35,047
3 $        44,000 19.20 $             38,400 $            5,600 $              1,344 $        42,656 0.60863 $          25,962
4 $        44,000 11.52 $             23,040 $          20,960 $              5,030 $        38,970 0.51579 $          20,100
5 $        44,000 11.52 $             23,040 $          20,960 $              5,030 $        38,970 0.43711 $          17,034
6 $        44,000 5.76 $             11,520 $          32,480 $              7,795 $        36,205 0.37043 $          13,411
7 $        44,000 0.00 $                      -   $          44,000 $            10,560 $        33,440 0.31393 $          10,498
8 $        44,000 0.00 $                      -   $          44,000 $            10,560 $        33,440 0.26604 $            8,896
9 $        44,000 0.00 $                      -   $          44,000 $            10,560 $        33,440 0.22546 $            7,539
10 $        44,000 0.00 $                      -   $          44,000 $            10,560 $        33,440 0.19106 $            6,389
$       (18,648)
Answer: After tax present worth of the special power tool = $         (18,648)
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