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Investment appraisal

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Investment appraisal

  • This topic has 1 reply, 2 voices, and was last updated 9 years ago by John Moffat.
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  • May 12, 2016 at 1:57 pm #314782
    mandalp2
    Member
    • Topics: 13
    • Replies: 7
    • ☆

    An investor has the choice between 2 investments. Investment X offers interest at 4% per year compounded semi annually for a period of 3 years. Investment Y offers one interest payment of 20% at the end of its 4 year life time.
    What is the annual effective interest rate offered by the 2 investments?

    Sir, i would also like to know what is the formula for effective interest rate?

    Thanks again in advance.

    May 13, 2016 at 8:40 am #314878
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54664
    • ☆☆☆☆☆

    Investment X: the interest is 2% every six months.
    Therefore the effective annual rate = 1.02^2 – 1 = 0.0404 or 4.04%

    Investment Y: If R is the annual rate, then (1+R)^4 = 1.20
    Therefore R = (fourth root of 1.20) – 1 = 0.0466 or 4.66%

    For the logic and formula you need to watch the free lectures on interest.
    (Our free lectures are a complete course for Paper F2 and cover everything needed to be able to pass the exam well.)

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