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A machine can be purchased for $269,000 and used for five years, yielding the following net...

A machine can be purchased for $269,000 and used for five years, yielding the following net incomes. In projecting net incomes, double-declining depreciation is applied using a five-year life and a zero salvage value. Year 1 Year 2 Year 3 Year 4 Year 5 Net income $ 21,000 $ 49,000 $ 68,000 $ 57,000 $ 132,000 Compute the machine’s payback period (ignore taxes). (Round payback period answer to 3 decimal places.)

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Expert Solution

Depreciation Schedule
Year Book Value Start Depreciation Rate Depreciation Accumulated Dep Book Value End
1 $269,000 40.00% $107,600 $107,600 $161,400
2 $161,400 40.00% $64,560 $172,160 $96,840
3 $96,840 40.00% $38,736 $210,896 $58,104
4 $58,104 40.00% $23,242 $234,138 $34,862
5 $34,862 40.00% $13,945 $248,083 $20,917

Year

Net Income Depreciation Cash Flow Accumulated Cash Flow
a b c d=c+b e
0 $                               -   $                              -   $        -2,69,000 $                        -2,69,000

1

$                      21,000 $                 1,07,600 $         1,28,600 $                        -1,40,400

2

$                      49,000 $                     64,560 $         1,13,560 $                           -26,840

3

$                      68,000 $                     38,736 $         1,06,736 $                             79,896

4

$                      57,000 $                     23,242 $             80,242 $                         1,60,138

5

$                  1,32,000 $                     13,945 $         1,45,945 $                         3,06,083
Payback Peiod = 2 year + 26840/106736
=2.251 years

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