Consider two mutually exclusive projects E and S. Both projects have the same profitability index of 1.2 (PIE = PIS = 1.2). The initial investment of Project E is I0,E = -$367,000, and the initial investment of Project S is I0,S = -$265,000. Which of the following statements is true?Question 7AnswerWe are unable to make an investment decision based on the information provided.cross outThe payback period of project E is 1.2 years.cross outThe NPV of project S is greater than the NPV of project E.cross outThe NPV of project E is greater than the NPV of project S.cross outThe NPVs of project E and S are equal.
Question
Consider two mutually exclusive projects E and S. Both projects have the same profitability index of 1.2 (PIE = PIS = 1.2). The initial investment of Project E is I0,E = -265,000. Which of the following statements is true?Question 7AnswerWe are unable to make an investment decision based on the information provided.cross outThe payback period of project E is 1.2 years.cross outThe NPV of project S is greater than the NPV of project E.cross outThe NPV of project E is greater than the NPV of project S.cross outThe NPVs of project E and S are equal.
Solution
The statement "We are unable to make an investment decision based on the information provided" is true.
The profitability index (PI) is a measure of the ratio of payoff to investment of a proposed project. It is a useful measure for ranking projects because it allows you to identify the amount of value created per unit of investment.
Given that both projects have the same PI of 1.2, it means that for every dollar invested, the projects return $1.20. However, the initial investments for the two projects are different.
Without additional information such as the cash inflows from the projects, their duration, or the discount rate, it is impossible to determine which project has a higher net present value (NPV), or if their NPVs are equal.
Therefore, based on the information provided, we are unable to make an investment decision.
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