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EAIR

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › EAIR

  • This topic has 1 reply, 2 voices, and was last updated 8 years ago by John Moffat.
Viewing 2 posts - 1 through 2 (of 2 total)
  • Author
    Posts
  • July 4, 2017 at 11:28 am #394678
    kengara
    Member
    • Topics: 197
    • Replies: 107
    • ☆☆☆

    My Dear Tutor, I have a question.I need your help

    an investor has the choice between two investments. Investment Exe offers interest of 4% per year compounded semi-annually for a period of three years. Investment Wye offers one interest payment of 20% at the end of its four-year life.

    What is the annual effective interest rate offered by the two investments?
    Investment Exe Investment Wye
    A 4·00% 4·66%
    B 4·00% 5·00%
    C 4·04% 4·66%
    D 4·04% 5·00%

    EAIR=1+R=(1+r) power n
    so R=(1+0.04) power of 3 years but why i can not get the correct answer?
    Could you help me about explanation.?

    July 4, 2017 at 5:49 pm #394703
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54835
    • ☆☆☆☆☆

    Because it is compounded semi-annually, the interest is 2% every six months.
    In 1 years there are 2 six-monthly periods.

    Therefore if R is the annual cost, then 1 + R = 1.02^2 = 1.0404
    R = 0.0404 or 4.04%

    (3 years has nothing to do with it – the question asks for the annual effective interest rate)

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