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    PracticeACCAACCA FM — Financial Management Practice Exam 6Question 06
    Hard2 marksMultiple Choice
    Estimating the Cost of CapitalSection ACost of CapitalProject Specific Discount RateBeta

    ACCA · Question 06 · Estimating the Cost of Capital

    Section A

    LexAI, an AI-driven legal services firm, is entirely equity financed with an equity beta of 1.4. It plans to diversify into a new industry (cloud data storage) and has identified a proxy company in that industry. The proxy company has an equity beta of 1.2 and a debt-to-equity ratio of 1:3 by market value. The corporate tax rate is 25%.

    What is the asset beta of the proxy company? (Round to two decimal places)

    Answer options:

    A.

    0.90

    B.

    0.96

    C.

    1.12

    D.

    1.50

    How to approach this question

    Use the asset beta formula: Ba = Be * [Ve / (Ve + Vd(1-T))]. The proxy company's D:E is 1:3, meaning Vd = 1 and Ve = 3.

    Full Answer

    B.0.96✓ Correct
    To find a project-specific discount rate, we must first un-gear the proxy company's equity beta to find its asset beta (business risk). Formula: Ba = Be * [Ve / (Ve + Vd(1-T))] Ba = 1.2 * [3 / (3 + 1(1 - 0.25))] Ba = 1.2 * [3 / 3.75] Ba = 1.2 * 0.8 = 0.96.

    Common mistakes

    Using LexAI's equity beta (1.4) instead of the proxy company's beta, or misinterpreting the D:E ratio of 1:3 as Ve=1, Vd=3.
    Question 05All questionsQuestion 07

    Practice the full ACCA FM — Financial Management Practice Exam 6

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