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Annuities And perpetuities in arrears.

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Annuities And perpetuities in arrears.

  • This topic has 3 replies, 2 voices, and was last updated 3 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • January 12, 2023 at 2:18 pm #675759
    2004@2004
    Participant
    • Topics: 17
    • Replies: 20
    • ☆

    Sir, Could you please assist me with this question,

    What is the PV of $200 incurred each year for four years, starting in three years’ time, if the discount rate is 5%?

    Soln: PV of cash inflow (under perpetuity)= Annual cash inflow × 1÷R

    = 200×1÷0.05 = 200÷0.05= $4000
    Sir, Could you please tell me whether it is correct or not?

    January 12, 2023 at 9:47 pm #675779
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    No, it is not correct. Multiplying by 1/r gives the present value when the first flow is in 1 years time and only when the flows are in perpetuity.

    Here, there is a four year annuity that starts in 3 years time.

    I do explain exactly how to deal with this in my free lectures on discounting, and you cannot expect me to type out my lectures again here 🙂

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

    January 13, 2023 at 4:05 am #675793
    2004@2004
    Participant
    • Topics: 17
    • Replies: 20
    • ☆

    Ok, Thank you, Sir, Now I have understood where I made the mistake.

    Thank you very much for your response, Sir and for providing free excellent lectures for ACCA students.

    January 13, 2023 at 8:47 pm #675858
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54831
    • ☆☆☆☆☆

    You are welcome, and thank you for your comment 🙂

  • Author
    Posts
Viewing 4 posts - 1 through 4 (of 4 total)
  • The topic ‘Annuities And perpetuities in arrears.’ is closed to new replies.

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