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calculation Problem 9

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA FM Exams › calculation Problem 9

  • This topic has 1 reply, 2 voices, and was last updated 9 years ago by John Moffat.
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  • November 2, 2015 at 7:17 pm #280133
    ripon
    Member
    • Topics: 14
    • Replies: 9
    • ☆

    AJT co has a gearing ratio (debt: (equity + debt)) of 30% and pays corporation tax of 25%.
    AJT has an assets (ungeared) beta of 1.2. The risk free rate is 5% and the market return is 12%.

    What is the cost of equity for AJT?

    A) 19.40%
    B) 11.36%
    C) 13.40%
    D) 16.10%

    November 3, 2015 at 6:49 am #280168
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54760
    • ☆☆☆☆☆

    For every 30 debt there is 70 equity

    Using the asset beta formula, 1.2 = (70 / (70 + (0.75 x 30)) x equity beta
    So equity beta = 1.586

    So cost of equity = 5% + 1.586 (12% – 5%) = 16.10%

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