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Equivalent Annual Cost

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA FM Exams › Equivalent Annual Cost

  • This topic has 2 replies, 2 voices, and was last updated 10 years ago by John Moffat.
Viewing 3 posts - 1 through 3 (of 3 total)
  • Author
    Posts
  • November 19, 2014 at 2:15 pm #211272
    debbieche
    Member
    • Topics: 12
    • Replies: 13
    • ☆

    AJT Co has a gearing ratio (debt:(equity + debt)) of 30%, and pays corporation tax of 25%.
    A share in AJT has a beta of 1.2. The risk free rate is 5% and the market return is 12%.
    What is the cost of equity for AJT?
    16.10%
    A machine costs $72,000 and has a maximum life of 3 years.The running costs each year are as follows:
    Year 1: 7,200
    Year 2: 9,600
    Year 3: 12,000
    The estimated scrap values are as follows:
    After 1 year: 24,000
    After 2 years: 16,600
    After 3 years: 9,600
    The cost of capital is 15%
    What is the equivalent annual cost if the company decides to replace the machine every 2 years?

    Help me out, am getting lost somewhere.

    November 19, 2014 at 6:33 pm #211355
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54696
    • ☆☆☆☆☆

    Please do not ask two questions muddled in together – ask them in separate threads.

    First question:

    You have either misread the question or you have copied it wrongly.
    The question says that the asset beta is 1.2 (not that the share has a beta of 1.2).

    So….you need to calculate the equity beta (using the asset beta formula on the formula sheet). The you can use that in the CAPM formula to calculate the cost of equity,

    November 19, 2014 at 6:35 pm #211357
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54696
    • ☆☆☆☆☆

    Question 2:

    You need to calculate the PV of one machine. For a two year replacement, the flows are
    0 (72000)
    1 (7200)
    2 7000 (16600 – 9600)

    Then you divide this PV by the 2 year annuity discount factor at 15% to get the EAC.

    (The free lecture on this might be helpful to you)

  • Author
    Posts
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