Contemporary Engineering Economics (6th Edition)
Contemporary Engineering Economics (6th Edition)
6th Edition
ISBN: 9780134105598
Author: Chan S. Park
Publisher: PEARSON
Question
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Chapter 10, Problem 1P
To determine

Calculate the time period.

Expert Solution & Answer
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Explanation of Solution

The recovery rate under the General Depreciation System for five year is given in the below table:

Table-1

YearRR
10.2
20.32
30.192
40.1152
50.1152
60.0576

Taxable gain (TG) can be calculated as follows.

TG=(Salvage value(InvestmentInvestment(RR1+RR2+...+RRn)))TR=(0(65,00065,000(0.2+0.32+0.192+0.1152+0.1152+0.0576)))(0.4)=0

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 (1(1+i)n) with respective ATCF.

Table-2

1234567
YearBTCFDTITAXATCFPW
0-65,000----55,000-65,000
123,00013,00010,0004,00019,00016,522
223,00020,8002,20088022,12016,726
323,00012,48010,5204,20818,79212,356
423,0007,48815,5126,20516,7959,603
523,0007,48815,5126,20516,7958,350
623,0003,74419,2567,70215,2986,614
7     5,170

The net present worth is $5,170. Since the present wroth is positive the project is acceptable.

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