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    PracticeACCAACCA MA — Management Accounting Practice Exam 2Question 25
    Hard2 marksMultiple Choice
    BudgetingIRRSyllabus D

    ACCA · Question 25 · Budgeting

    A company is calculating the Internal Rate of Return (IRR) for a new machine.
    At a discount rate of 10%, the NPV is +$5,000.
    At a discount rate of 15%, the NPV is -$2,000.

    Using the interpolation formula, what is the approximate IRR?

    Answer options:

    A.

    12.50%

    B.

    13.57%

    C.

    14.12%

    D.

    11.43%

    How to approach this question

    Use the IRR interpolation formula: IRR = a + [ NPVa / (NPVa - NPVb) ] * (b - a), where 'a' is the lower rate and 'b' is the higher rate.

    Full Answer

    B.13.57%✓ Correct
    Formula: a + [ NPVa / (NPVa - NPVb) ] * (b - a) = 10% + [ 5,000 / (5,000 - (-2,000)) ] * (15% - 10%) = 10% + [ 5,000 / 7,000 ] * 5% = 10% + 3.57% = 13.57%.

    Common mistakes

    Subtracting the negative NPV incorrectly (e.g., 5000 - 2000 = 3000 instead of 5000 - (-2000) = 7000).
    Question 24All questionsQuestion 26

    Practice the full ACCA MA — Management Accounting Practice Exam 2

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