Question

Compute the payback statistic for Project A if the appropriate cost of capital is 8 percent...

Compute the payback statistic for Project A if the appropriate cost of capital is 8 percent and the maximum allowable payback period is four years. (Round your answer to 2 decimal places.)

Project A Time: 0 1 2 3 4 5

Cash flow: –$1,600 $590 $660 $640 $420 $220

Payback years
0 0
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Answer #1

To calculate the payback period, we need to find the time that the project has recovered its initial investment. After two years, the project has created:

$590 + $660 = $1,250

in cash flows. The project still needs to create another:

$1,600 - $1,250 = $350

in cash flows. During the third year, the cash flows from the project will be $640. So, the payback period will be two years, plus what we still need to make divided by what we will make during the third year. The payback period is:

Payback = 2 + ($350 / $640) = 2.55 years

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