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Effective rate of interest

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Effective rate of interest

  • This topic has 4 replies, 2 voices, and was last updated 7 years ago by John Moffat.
Viewing 5 posts - 1 through 5 (of 5 total)
  • Author
    Posts
  • January 31, 2018 at 5:30 am #434121
    danny969
    Participant
    • Topics: 24
    • Replies: 31
    • ☆☆

    What is the effective annual rate of interest of 2.1% compounded every three months?
    A 6.43% B 8.40% C 8.67% D 10.87%

    The equation for calculation
    {(1+r/n)^n}-1

    Substituting,

    {(1.00525)^4}-1
    =0.021
    =21%

    Sir can you tell me what went wrong?

    January 31, 2018 at 6:40 am #434122
    danny969
    Participant
    • Topics: 24
    • Replies: 31
    • ☆☆

    *2.1% sorry for the typo

    January 31, 2018 at 10:58 am #434168
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54759
    • ☆☆☆☆☆

    You have assumed that the 2.1% is an annual rate.

    The wording of the question implied that 2.1% is charged every 3 months.

    So the effective annual rate is (1.021)^4 – 1 = 0.0867 (or 8.67%)

    January 31, 2018 at 12:17 pm #434196
    danny969
    Participant
    • Topics: 24
    • Replies: 31
    • ☆☆

    Oh okay….I got it sir. Thanks a lot

    January 31, 2018 at 2:36 pm #434240
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54759
    • ☆☆☆☆☆

    You are welcome 🙂

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    Posts
Viewing 5 posts - 1 through 5 (of 5 total)
  • The topic ‘Effective rate of interest’ is closed to new replies.

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