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Annual effective interest rate

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Annual effective interest rate

  • This topic has 3 replies, 2 voices, and was last updated 9 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
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  • December 2, 2016 at 12:49 pm #353169
    shubham7srk
    Member
    • Topics: 1
    • Replies: 3
    • ☆

    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 20% at the end of its four-year life. What is the annual effective interest rate offered by the two investments?

    December 2, 2016 at 2:29 pm #353208
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    Exe:
    The interest is 2% every half year, and since there are two half years in a year, then:
    (1 + R) = 1.02 ^ 2 (where R is the effective annual rate)

    Wye:

    (1+R)^ 4 = 1.20 (where again R is the effective annual rate)

    The logic involved is explained in my free lectures on interest.
    (The lectures are a complete free course and cover everything needed to be able to pass Paper F2 well.)

    December 2, 2016 at 2:38 pm #353217
    shubham7srk
    Member
    • Topics: 1
    • Replies: 3
    • ☆

    investment Wye annual effective return 1.20^0.25 -1=0.0466 or 4.66%)

    This is the answer given behind…explain me this.

    December 3, 2016 at 8:53 am #353331
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    But I have already explained in my previous answer!!!

    1.20^0.25 is a way of writing “the fourth root of 1.20”

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