Calculate the time period.
Explanation of Solution
The recovery rate under the General
Table-1
Year | RR |
1 | 0.2 |
2 | 0.32 |
3 | 0.192 |
4 | 0.1152 |
5 | 0.1152 |
6 | 0.0576 |
Taxable gain (TG) can be calculated as follows.
Taxable gain is $0.
Table 2 shows the after tax cash flow. Column 2 is equal to net annual revenue. Column 3 is obtained by multiplying the RR value with the investment. When the investment is retired before its life time, then half of the depreciation is captured in the last year. Column 4 is obtained by subtracting the column 3 from column 2. Column 5 is obtained by multiplying the tax rate with column 4. Column 6 is obtained by subtracting the column 5 from column 2. Last year net cash flow is added with salvage value and subtract the taxable gain from it. Present worth (PW) can be obtained by multiplying the
Table-2
1 | 2 | 3 | 4 | 5 | 6 | 7 |
Year | BTCF | D | TI | TAX | ATCF | PW |
0 | -65,000 | - | - | - | -55,000 | -65,000 |
1 | 23,000 | 13,000 | 10,000 | 4,000 | 19,000 | 16,522 |
2 | 23,000 | 20,800 | 2,200 | 880 | 22,120 | 16,726 |
3 | 23,000 | 12,480 | 10,520 | 4,208 | 18,792 | 12,356 |
4 | 23,000 | 7,488 | 15,512 | 6,205 | 16,795 | 9,603 |
5 | 23,000 | 7,488 | 15,512 | 6,205 | 16,795 | 8,350 |
6 | 23,000 | 3,744 | 19,256 | 7,702 | 15,298 | 6,614 |
7 | 5,170 |
The net present worth is $5,170. Since the present wroth is positive the project is acceptable.
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Chapter 10 Solutions
Contemporary Engineering Economics (6th Edition)
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