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    PracticeACCAACCA FM — Financial Management Practice Exam 2Question 04
    Medium2 marksMultiple Choice
    Investment AppraisalInvestment appraisalAsset replacementSection A

    ACCA · Question 04 · Investment Appraisal

    Section A

    TerraFirma Mining needs to replace its heavy excavation machinery. The machinery can be replaced every 2 years or every 3 years. The cost of capital is 10%.

    2-year cycle: PV of costs = $145,000
    3-year cycle: PV of costs = $205,000

    Annuity factors at 10%: 2 years = 1.736, 3 years = 2.487

    Based on the Equivalent Annual Cost (EAC), which replacement cycle should be chosen and what is its EAC?

    Answer options:

    A.

    2-year cycle with an EAC of $83,525

    B.

    3-year cycle with an EAC of $82,429

    C.

    2-year cycle with an EAC of $72,500

    D.

    3-year cycle with an EAC of $68,333

    How to approach this question

    Calculate the EAC for both options by dividing the PV of costs by the annuity factor for the respective years. Choose the option with the lowest EAC.

    Full Answer

    B.3-year cycle with an EAC of $82,429✓ Correct
    To compare assets with different lifespans, we use the Equivalent Annual Cost (EAC) method. EAC (2 years) = $145,000 / 1.736 = $83,525. EAC (3 years) = $205,000 / 2.487 = $82,429. Since TerraFirma wants to minimize costs, the 3-year cycle is optimal because its EAC is lower.

    Common mistakes

    Dividing the PV by the number of years instead of the annuity factor.
    Question 03All questionsQuestion 05

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