Question

Seattle Inc. identifies an investment opportunity, which will yield cash flows of $30,000 per year in Years 1 through 4, $35,000 per year in Years 5 through 9, and $40,000 in Year 10. The initial cash outflow is $150,000, and the firm's required rate of return is 10 percent. Assume cash flows occur evenly during the year, 1/365th each day. What is the payback period for this investment? (Round off the answer to two decimal places.)

Answer 1

Answer:

the payback period = 4.86 years

Explanation:

Seattle's cash flows are as following:

Year                Cash flow                         Accumulated cash flows

0                     -$150,000                                -$150,000

1                         $30,000                                -$120,000

2                        $30,000                                 -$90,000

3                        $30,000                                 -$60,000

4                        $30,000                                 -$30,000

5                        $35,000                                    $5,000

6                        $35,000                                  $40,000

etc.

The payback period is between year 4 and 5:

• 4 years + ($30,000 / $35,000) = 4.86 years or
• year 4 + [($30,000 / $35,000) x 365 days] = 4 years and 313 days