(a):
Calculate the net cash flow.
(a):
Explanation of Solution
The recovery rate (RR) 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 -$3,360.
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 | -100,000 | -100,000 | -100,000 | |||
1 | 45,000 | 20,000 | 25,000 | 10,000 | 35,000 | 30,435 |
2 | 45,000 | 32,000 | 13,000 | 5,200 | 39,800 | 30,095 |
3 | 45,000 | 19,200 | 25,800 | 10,320 | 64,200 | 42,213 |
4 | 2,742 |
Present wroth is $2,741. Since the project has positive present worth, it is acceptable.
(b):
Calculate the new net cash flow.
(b):
Explanation of Solution
The required investment is become $110,000. Labor saving should be $50,744 so that the project present worth would become $0 with the MARR 15%. This could be verified by using the same procedure done in part ‘a’.
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Chapter 12 Solutions
Contemporary Engineering Economics (6th Edition)
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