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    PracticeACCAACCA FM — Financial Management Practice Exam 1Question 5
    Medium2 marksMultiple Choice
    Working Capital ManagementWorking capital managementCash ManagementBaumol Model

    ACCA · Question 5 · Working Capital Management

    Section A

    CryptoFlow is a digital asset exchange that needs to manage its fiat currency reserves. It requires $2,000,000 in fiat cash steadily over the next year. The cost of converting digital assets to fiat (transaction cost) is $50 per conversion. The opportunity cost of holding fiat cash is 5% per annum.

    Using the Baumol model, what is the optimum amount of fiat cash CryptoFlow should transfer in each transaction? (Round to the nearest whole number).

    Answer options:

    A.

    $44,721

    B.

    $63,246

    C.

    $89,443

    D.

    $200,000

    How to approach this question

    Apply the Baumol cash management model formula: Q = √(2CS / i), where C = transaction cost, S = annual cash requirement, and i = holding cost.

    Full Answer

    B.$63,246✓ Correct
    The Baumol model calculates the optimum cash balance. Formula: Q = √(2CS / i). C = $50 S = $2,000,000 i = 0.05 Q = √((2 * 50 * 2,000,000) / 0.05) = √(200,000,000 / 0.05) = √4,000,000,000 = 63,245.55. Rounded to $63,246.

    Common mistakes

    Forgetting to convert the percentage (5%) into a decimal (0.05) before dividing.
    Question 4All questionsQuestion 6

    Practice the full ACCA FM — Financial Management Practice Exam 1

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