For IndividualsFor Educators
ExpertMinds LogoExpertMinds
ExpertMinds

Ace your certifications with Practice Exams and AI assistance.

  • Browse Exams
  • For Educators
  • Blog
  • Privacy Policy
  • Terms of Service
  • Cookie Policy
  • Support
  • AWS SAA Exam Prep
  • PMI PMP Exam Prep
  • CPA Exam Prep
  • GCP PCA Exam Prep

© 2026 TinyHive Labs. Company number 16262776.

    PracticeACCAACCA FM — Financial Management Practice Exam 6Question 10
    Medium2 marksMultiple Choice
    Working Capital ManagementSection AWorking Capital ManagementCash ManagementBaumol Model

    ACCA · Question 10 · Working Capital Management

    Section A

    AlgoTrade LLC, a high-frequency trading firm, requires $2,000,000 in cash over the next year to cover operational expenses. The cost of converting marketable securities into cash is $50 per transaction. The firm can earn 5% per annum on its marketable securities.

    Using the Baumol model, what is the optimal cash conversion amount (the economic order quantity for cash)?

    Answer options:

    A.

    $31,623

    B.

    $44,721

    C.

    $63,246

    D.

    $200,000

    How to approach this question

    Apply the Baumol model formula: Q = square root of [(2 * Cost per transaction * Annual cash demand) / Interest rate].

    Full Answer

    C.$63,246✓ Correct
    The Baumol model calculates the optimal cash balance to minimize the sum of transaction costs and opportunity costs (lost interest). Formula: Q = √[(2 * C * D) / i] Where C = $50, D = $2,000,000, i = 0.05. Q = √[(2 * 50 * 2,000,000) / 0.05] Q = √[200,000,000 / 0.05] Q = √4,000,000,000 = $63,245.55 (rounded to $63,246).

    Common mistakes

    Using the interest rate as a whole number (5) instead of a decimal (0.05), or forgetting to take the square root.
    Question 09All questionsQuestion 11

    Practice the full ACCA FM — Financial Management Practice Exam 6

    32 questions · hints · full answers · grading

    Sign up freeTake the exam

    More questions from this exam

    Q01Section A GlobalVax is a non-governmental organization (NGO) dedicated to distributing vaccines ...EasyQ02Section A QuantumCore, a domestic quantum computing startup, relies heavily on imported rare-ear...MediumQ03Section A VertiFarm Co operates a network of urban vertical farms. It is experiencing cash flow ...MediumQ04Section A DeepSea Minerals PLC is evaluating two mutually exclusive underwater extraction machin...MediumQ05Section A A municipal water desalination plant is seeking to raise capital in compliance with Is...Easy
    View all 32 questions →