Question

A project has an initial cost of $6,900. The cash inflows are $850, $2,400, $3,100, and $4,100 over the next four years, respectively. What is the payback period

Answer 1

Answer:

Thus, payback period is = 3 years and 1.61 months

Explanation:

Payback period is the time it will take the project cash flows to recover the initial investment. The payback period for the project in question will be,

Year       Cash flow      Remaining Amount

1               850               (6900 - 850) = 6050

2              2400             (6050 - 2400) = 3650

3              3100              (3650 - 3100) = 550

As the year 4 cash flow is 4100, we know that the amount will be recovered in year 4. However, we will calculate the exact period or months in year 4 that it will take to recover total initial investment assuming that cashflow occurs at constant rate through out the year.

Time = 550 / 4100 * 12 = 1.61 months

Thus, payback period is = 3 years and 1.61 months