Exercise-8 (Computation of payback period – uneven cash flows)

By: Rashid Javed | Updated on: September 8th, 2022

The investment and expected cash inflows of a project over 8-year period is given below:

exercise-8-cbt-img1

Required: Compute the payback period of the project. Would the project be acceptable if the maximum desired payback period is 7 years?

Solution:

As the expected cash flows is uneven (different cash flows in different periods), the payback formula cannot be used to compute payback period of this project. The payback period for this project would be computed by tracking the unrecovered investment year by year.

exercise-8-cbt-img2

Payback period = years before full recovery + (Unrecovered investment at start of the year/Cash flow during the year)
= 5 + (3,000/6,000)
= 5 + 0.5
= 5.5 years or 5 years and *6 months

*0.5 × 12

The entire investment is expected to be recovered by the middle of sixth year. The payback period of this project is, therefore, 5.5 years or 5 years and six moths.

Conclusion:

The project is acceptable because payback period promised by the project is shorter than the maximum desired payback period of the management.

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