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Annuity

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Annuity

  • This topic has 1 reply, 2 voices, and was last updated 8 years ago by John Moffat.
Viewing 2 posts - 1 through 2 (of 2 total)
  • Author
    Posts
  • November 23, 2017 at 4:32 am #417519
    nzrn89
    Participant
    • Topics: 37
    • Replies: 15
    • ☆☆

    Hi Sir,

    I would like yo ask a question.
    What is the present value of an annuity of $3,000 per annum discounted at 6% per annum if the annuity starts at the end of the third year and finishes at the end of the 10th year?
    A. $22,080
    B. $16,581
    C. $996
    D. $14,061

    The answer is B. But shouldn’t it be D?
    I am confused regarding the part mentioned at annuity starts at end of third year. So for annuity should we do annuity of 1-10 minus 1-2 or annuity 1-10 minus 1-3?

    Thank you

    November 23, 2017 at 9:20 am #417553
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54835
    • ☆☆☆☆☆

    B is the correct answer.

    The 10 year annuity gives the total discount factor for years 1 to 10. We need the total for years 3 to 10, so we need to subtract the total for years 1 to 2 (which is the 2 year annuity factor).

    I do suggest that you watch my free lectures on this, because I do explain this point with examples.

    (The lectures are a complete free course for Paper F2 and cover everything needed to be able to pass the exam well.)

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