Question
1. Find the Payback period for the following project: Project X Initial Outlay $8,610 Year 1 $3,190 Year 2 $3,290 Year 3 $3,750 Year 4
1. Find the Payback period for the following project:
| Project X |
Initial Outlay | $8,610 |
Year 1 | $3,190 |
Year 2 | $3,290 |
Year 3 | $3,750 |
Year 4 | $7,470 |
The answer should be calculated to two decimal places. Initial outlay is $8,610.
During year 1 the firm will recover $3,190, so (-$8,610) +$3,190 = -$5,420 still need to recover after the end of year 1.
During year 2 the firm will recover $3,290, so (-$5420) +$3,290 = -$2,130 still need to recover after the end of year 2.
During year 3 the firm will receive $3,750, which is greater than $2,130. Assuming that cash flows will be received gradually during year 3, it takes $2,130/$3,750 = 0.57 of a year to recover $2,130.
Totally payback period is 2.57 years
PLEASE EXPLAIN HOW THE ANSWER IS 2.57 YEARS. IN STEP 3, WE GOT 0.57. WHERE DOES THE 2 COME FROM?
THANKS!
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