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pv of perpetuity

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › pv of perpetuity

  • This topic has 1 reply, 2 voices, and was last updated 6 years ago by John Moffat.
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  • June 28, 2018 at 11:42 am #460443
    irene11lcf
    Member
    • Topics: 9
    • Replies: 13
    • ☆

    I think this might be related to my English problem. I’m so confused
    1. take $90,000 per annum indefinitely starting in 3 years’ time
    2. take a lump sum of $910,000 in 1 years time

    The answer uses the discount factor over 2 years for Q1, and uses the discount factor over 1 year for Q2. Why is that? Is it because its perpetuity? Is the PV=$90.000 (no discount) if starting in 1 year time, then why do we apply discount rate to Q2?

    Thank you.

    June 28, 2018 at 4:55 pm #460469
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54659
    • ☆☆☆☆☆

    For the first question, to discount a perpetuity we multiply by 1/r where r is the interest rate. However, that only applies to a perpetuity starting in 1 years time. Here, then perpetuity starts in 3 years time, which is 2 years later, so the answer needs discounting for 2 years to get the present value.

    In the second case, if the flow is in 1 years time we discount for 1 year to get to a present value ‘now’.

    You really should watch my free lectures on this. 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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