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estimating the yield curve

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA AFM Exams › estimating the yield curve

  • This topic has 7 replies, 3 voices, and was last updated 7 years ago by John Moffat.
Viewing 8 posts - 1 through 8 (of 8 total)
  • Author
    Posts
  • April 20, 2015 at 6:38 am #241876
    chicababes1991
    Member
    • Topics: 19
    • Replies: 11
    • ☆

    hi sir….

    i am having difficulties in understanding the solution to this question

    Example

    A government has three bonds in issue that all have a face or par value of $100 and are redeemable in one year, two years and three years respectively. Since the bonds are all government bonds, let’s assume that they are of the same risk class. Let’s also assume that coupons are payable on an annual basis.

    Bond A, which is redeemable in a year’s time, has a coupon rate of 7% and is trading at $103.

    solution

    Bond A: $103 = $107 x (1+r1)-1
    r1 = 107/103 – 1 = 0.0388 or 3.88%

    in the solution it did not take into account the power of negative 1.
    why was it omitted when arriving in the answer

    sir can you kindly help me understand how the formulae can be solved taking into consideration the power of negative 1 when solving the formulae

    thank you so much in advance

    April 20, 2015 at 8:03 am #241883
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54659
    • ☆☆☆☆☆

    The solution has taken account of the negative power.

    (1+r1)^(-1) means 1/(1+r)

    Now it should work for you.

    April 20, 2015 at 12:59 pm #241909
    chicababes1991
    Member
    • Topics: 19
    • Replies: 11
    • ☆

    thanks sir..

    but the number of years is not supposed to be taken into consideration

    like 1/ ( 1 + r ) ^n

    April 20, 2015 at 1:51 pm #241922
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54659
    • ☆☆☆☆☆

    All you asked about in your first question was the use of a negative power.

    Yes – all three years should be taken into account, but without knowing which question you are asking about then I cannot say more.

    Please tell me which question you are referring to.

    May 16, 2018 at 8:35 pm #452327
    Anonymous
    Inactive
    • Topics: 0
    • Replies: 2
    • ☆

    Hi John

    Is there a lecture on estimating the yield curve?

    Thank you

    May 17, 2018 at 4:27 pm #452488
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54659
    • ☆☆☆☆☆

    No, because there is no standard technique. It is specific to the specific question. I assume you have read the ACCA’s technical article on this?

    May 18, 2018 at 1:24 pm #452675
    Anonymous
    Inactive
    • Topics: 0
    • Replies: 2
    • ☆

    Hi John
    I have read the article however I don’t understand example 4, how they estimated the annual spot yield curve. Bond B, I don’t know where they got the 5.78 and Bond C 4.81 and 4.54.

    May 18, 2018 at 2:59 pm #452707
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54659
    • ☆☆☆☆☆

    It is part of solving the equations that are written in the lines above.

    Appreciate that 1.0388^(-1) is another way of writing 1/1.0388

    6 x 1/1.0388 = 5.78

    The same applied to bond C calculations.

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