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    PracticeACCAACCA FM — Financial Management Practice Exam 6Question 17
    Hard2 marksMultiple Choice
    Working Capital ManagementSection BWorking Capital ManagementEarly Settlement Discount

    ACCA · Question 17 · Working Capital Management

    Section B - Case 1: AquaHarvest

    Scenario: AquaHarvest operates offshore kelp farms. The company has annual credit sales of $18 million. Currently, customers take an average of 45 days to pay. AquaHarvest finances its working capital through a bank overdraft at an interest rate of 8% per annum. Assume a 365-day year.

    To improve cash flow, the finance director proposes offering a 2% early settlement discount to customers who pay within 15 days. It is expected that 40% of customers will take the discount, while the remaining 60% will continue to pay in 45 days.

    Question: What is the effective annual interest rate (cost) of offering this discount? (Use the compound interest formula)

    Answer options:

    A.

    24.33%

    B.

    27.86%

    C.

    31.20%

    D.

    48.67%

    How to approach this question

    Use the effective annual rate formula for discounts: Cost = [1 + (d / (1-d))] ^ (365 / t) - 1, where 'd' is the discount percentage and 't' is the reduction in payment days (45 - 15 = 30 days).

    Full Answer

    B.27.86%✓ Correct
    The cost of offering an early settlement discount is the annualized cost of the revenue given up to receive the cash earlier. Formula: Cost = [1 + (d / (1-d))] ^ (365 / t) - 1 d = 0.02 (2% discount) t = 45 - 15 = 30 days saved Cost = [1 + (0.02 / 0.98)] ^ (365 / 30) - 1 Cost = [1.020408] ^ 12.1667 - 1 = 0.2786 or 27.86%. Since 27.86% is much higher than the overdraft rate of 8%, offering the discount is an expensive way to finance working capital.

    Common mistakes

    Using 15 days as 't' instead of the days saved (30 days).
    Question 16All questionsQuestion 18

    Practice the full ACCA FM — Financial Management Practice Exam 6

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