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Perpetuity

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

  • 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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  • August 9, 2016 at 11:16 am #332187
    carl123
    Member
    • Topics: 16
    • Replies: 25
    • ☆

    Good day, Sir Moffat.

    I have a question to ask:

    What is the present value of $6,000 per annum first receivable immediately and thereafter in perpetuity, with interest at 9.5% per annum?

    Answer: $6000*1/0.095= $63,158+$6,000= $69,158

    Why did we add $63,158 and $6,000? Why didn’t we end with $63,159, isn’t that the answer?

    Thank you in advance! God bless 😀

    August 9, 2016 at 3:12 pm #332219
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    Multiplying by 1/r gives the PV of a perpetuity starting in 1 years time.

    Here, there is also an immediate receipt and the PV of 6,000 receivable immediately is 6,000 and this needs adding on.

    August 10, 2016 at 1:19 pm #332519
    carl123
    Member
    • Topics: 16
    • Replies: 25
    • ☆

    Thank you, Sir Moffat! God bless 😀

    August 10, 2016 at 2:52 pm #332539
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    You are welcome 🙂

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