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Effective interest

Forums › ACCA Forums › ACCA MA Management Accounting Forums › Effective interest

  • This topic has 1 reply, 2 voices, and was last updated 11 years ago by John Moffat.
Viewing 2 posts - 1 through 2 (of 2 total)
  • Author
    Posts
  • October 3, 2014 at 9:09 pm #203424
    snahs
    Participant
    • Topics: 9
    • Replies: 14
    • ☆

    i worked this question on the mock exam!
    Investment p offers a interest of 5% per year compounded half year for perioof 4years.
    investment q offers one interest payment of 18% at the end of the yearlife. what is the annual effective rate for both?

    p=(1+.05)^6
    1+r= 1.3400
    =34

    i really dont understand how to calculate this quuestion to arrive with these answer.
    correct answer= p= 5.06, q=4.22
    i listen to your lecture, but am not getting it. plz explain

    October 4, 2014 at 8:58 am #203440
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    For investment P, the interest is 2.5% every six months.

    So the annual effective rate is (1.025^2) – 1 = 0.0506 or 5.06%
    (it is to the power 2 because there are 2 six-months in a year)

    For investment Q, if R is the annual interest, then (1+R)^4 = 1.18
    So R = (4th root of 1.18) – 1 = 0.0422 or 4.22%

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