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effective Interest rates

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › effective Interest rates

  • This topic has 3 replies, 2 voices, and was last updated 8 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • January 23, 2017 at 5:09 am #368915
    lajacca2016
    Member
    • Topics: 1
    • Replies: 1
    • ☆

    Investment P offers interest of 5% per year compounded half yearly for a period of 4 years.
    Investment Q offers one interest payment of 18% at the end of its 4 year life.
    What is the annual effective rate offered by each of the two invsts?

    The solution to invst P is understood by me (5/2=2.5%=.025#(1+.025)^2-1=5.06%
    but the Invst Q don’t get it.
    Could you help me understand this ?

    January 23, 2017 at 7:06 am #368924
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54702
    • ☆☆☆☆☆

    For Q, if the annual interest rate is R, then the total after 4 years = (1+R)^4 = 1.18

    So R = (fourth root of 1.18 ) – 1

    January 23, 2017 at 7:19 am #368928
    lajacca2016
    Member
    • Topics: 1
    • Replies: 1
    • ☆

    Thank you.

    January 23, 2017 at 7:23 am #368929
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54702
    • ☆☆☆☆☆

    You are welcome 🙂

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