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Interest rate

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Interest rate

  • This topic has 1 reply, 2 voices, and was last updated 11 years ago by AvatarJohn Moffat.
Viewing 2 posts - 1 through 2 (of 2 total)
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    Posts
  • July 17, 2014 at 10:37 am #179061
    Avatarnguwah
    Member
    • Topics: 14
    • Replies: 9
    • ☆

    Two investments are available.
    Invest_P offers interest of 5% per year compounded half yearly for a period of 4years
    Invest_Q offers one interest payment of 18% at the end of its 4years.

    What is the annual effective rate offered by each of two investments.

    Dear Sir,

    Please help me to explain above questions.

    Thanks

    July 17, 2014 at 4:15 pm #179083
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54838
    • ☆☆☆☆☆

    P: The interest is paid 2.5% every half year.

    The annual effective rate is (1.025)^2 – 1 = 0.050625 (or 5.0625%)

    Q: If the annual rate is R, then (1+R)^4 = 1.18
    So 1+R = fourth root of 1.18 = 1.0422

    So R = 0.0422 (or 4.22%)

    You might find my free lecture on interest to be useful.

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