Detailed Answer
Correct answer: (A)
Project A’s cash flows are all received in the first three years of the project, whereas Project Z’s cash
flows are received in Years 2 through 5, with its largest cash flow not received until Year 5. The Payback
Period for Project A is 2 years ($7,000 + $8,000 = $15,000, the amount of the investment). The Payback
Period for Project Z is 4 years ($0 + $5,000 + $5,000 + 5,000 = $15,000). Therefore, according to the
Payback Period, Project A is the better project to invest in.
The NPVs of both projects are as follows:
Project A: ($7,000 × 0.926) + ($8,000 × 0.857) + ($9,000 × 0.794) − $15,000 = $5,484
Project Z: ($5,000 × 0.857) + ($5,000 × 0.794) + ($5,000 × 0.735) + ($25,000 × 0.681) − $15,000 =
$13,955.
Therefore, the NPV of Project Z is higher than the NPV of Project A, so Project A is less profitable than Project
Z. (Note: The problem says that the company uses straight line depreciation but it does not give the
company’s tax rate. Therefore, it is not possible to calculate the depreciation tax shields for these projects.
However, because the initial investments and the length of the projects are the same, the depreciation and
thus the depreciation tax shield will be the same for both projects and so it is not relevant to a comparison of
which NPV is higher.)