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Understanding periods in calculations of loan notes and interest rates

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA AFM Exams › Understanding periods in calculations of loan notes and interest rates

  • This topic has 3 replies, 2 voices, and was last updated 2 weeks ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • October 10, 2025 at 1:05 pm #723068
    Ellis-Sad
    Participant
    • Topics: 18
    • Replies: 33
    • ☆☆

    Hi,

    Hope this finds you well. I’m trying to understand how we arrive at the number of periods to be used in a calculation. A question i am looking at goes:

    The financial manager of Gaddes Co’s pension fund is reviewing strategy regarding the fund. Over 60% of the fund is invested in fixed rate long-term loan notes. Interest rates are expected to be quite volatile for the next few years. It is currently June 20X3.
    Among the pension fund’s current investments are two AAA rated loan notes:

    (1) Zero coupon June 20Y8
    (2) 12% Gilt June 20Y8 (interest is payable semi-annually)
    The current annual redemption yield (yield to maturity) on both loan notes is 6%. The semi-annual yield may be assumed to be 3%. Both loan notes have a nominal value and redemption value of $100.

    Required:
    (i) Estimate the market price and percentage change from their current value of each of the loan notes if annual interest rates (yields):
    (a) increase by 1%;
    (b) decrease by 1%.

    The changes in interest rates may be assumed to be parallel shifts in the yield curve (yield changes by an equal amount at all points of the yield curve).

    The answer for the Zero coupon June 20Y8 shows:

    “Current market prices

    (1) Zero coupon ?$100/(1.06)^15? = $41.73”

    I know how to calculate this part. What i don’t know is how they identified that there would be 15 periods.

    Your help is greatly appreciated sirs. And sorry for the length, just needed to give you the details in one scoop.

    October 11, 2025 at 10:34 am #723073
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54768
    • ☆☆☆☆☆

    From June X3 to June X4 is 1 period. To X5 is 2 periods, to X6 is 3 periods, and so on.

    If you carry on up to June Y8 (Y0 is the year after X9) then you end up with 15 periods.

    (I know it might sound silly but I find it easiest to use my fingers and count along on them 🙂 )

    October 11, 2025 at 7:01 pm #723075
    Ellis-Sad
    Participant
    • Topics: 18
    • Replies: 33
    • ☆☆

    I had suspected this, Its going with the alphabet as well, but just needed to confirm that i wasn’t flying blind, so to speak.

    Incidentally, i was doing the finger count as well 😀

    Many thanks.

    October 12, 2025 at 9:07 am #723076
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54768
    • ☆☆☆☆☆

    You are welcome 🙂

  • Author
    Posts
Viewing 4 posts - 1 through 4 (of 4 total)
  • The topic ‘Understanding periods in calculations of loan notes and interest rates’ is closed to new replies.

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