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    PracticeACCAACCA FM — Financial Management Practice Exam 1Question 8
    Medium2 marksMultiple Choice
    Investment AppraisalInvestment appraisalCapital RationingProfitability Index

    ACCA · Question 8 · Investment Appraisal

    Section A

    Oceanic Minerals is considering several deep-sea mining projects but faces strict capital rationing. The company has $10 million available.
    Project Alpha requires an initial investment of $4m and has an NPV of $1.2m.
    Project Beta requires an initial investment of $6m and has an NPV of $1.5m.
    Project Gamma requires an initial investment of $5m and has an NPV of $1.6m.

    Assuming the projects are divisible, what is the Profitability Index (PI) of Project Gamma?

    Answer options:

    A.

    0.32

    B.

    1.25

    C.

    1.32

    D.

    3.125

    How to approach this question

    Calculate the Profitability Index using the formula: PI = Present Value of Future Cash Flows / Initial Investment. Alternatively, PI = 1 + (NPV / Initial Investment).

    Full Answer

    C.1.32✓ Correct
    The Profitability Index (PI) measures the present value of returns per dollar invested. PV of future cash flows for Gamma = Initial Investment + NPV = $5m + $1.6m = $6.6m. PI = $6.6m / $5m = 1.32. (Alternatively, PI = 1 + (1.6/5) = 1.32).

    Common mistakes

    Calculating NPV / Initial Investment (0.32) and stopping there. While 0.32 is used for ranking, the formal PI is 1.32.
    Question 7All questionsQuestion 9

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