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present value

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › present value

  • This topic has 6 replies, 3 voices, and was last updated 10 years ago by John Moffat.
Viewing 7 posts - 1 through 7 (of 7 total)
  • Author
    Posts
  • June 3, 2014 at 4:01 pm #173259
    zwahira
    Member
    • Topics: 26
    • Replies: 44
    • ☆☆

    dear sir help me with this question:
    Ayr is planning on paying £300 into a fund on a monthly basis starting three months from now, for twelve months.
    The interest earned will be at a rate of 3% per month.
    What is the present value of these payments?
    A £2,816
    B £2,733
    C £2,541
    D £2,986.

    June 3, 2014 at 6:37 pm #173374
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54665
    • ☆☆☆☆☆

    You discount like any normal question, except that the time period is 1 months and the interest is per 1 month.

    So……in 3 month periods, the flows are 300 from time 3 to time 12.
    The interest rate is 3% per period.

    So, use the 12 period annuity factor at 3% and subtract the 2 period annuity factor at 3%, to be left with periods 3 to 12.

    June 4, 2014 at 7:48 pm #173946
    zwahira
    Member
    • Topics: 26
    • Replies: 44
    • ☆☆

    Sir I didnt understand it help me please I got exams 2morrow I. Worried

    June 4, 2014 at 9:19 pm #173981
    Banu
    Member
    • Topics: 5
    • Replies: 12
    • ☆

    Dear Mr John I tried but get the following

    3% 12 years df
    (1-12) 9.954
    (1-2) 1.913

    (3-12) 8.041 * 300 = 2,412.30
    pls help – thx

    June 4, 2014 at 9:38 pm #173991
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54665
    • ☆☆☆☆☆

    Sorry – my mistake.

    It starts in 3 months and is for twelve months in total. So the last payment is in 14 months.

    So…… Take the annuity factor for 14 periods at 3% per period less the annuity factor for 2 periods at 3% per period.

    June 5, 2014 at 5:00 am #174063
    zwahira
    Member
    • Topics: 26
    • Replies: 44
    • ☆☆

    Thanks sir now I understand it better

    June 5, 2014 at 7:06 am #174084
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54665
    • ☆☆☆☆☆

    You are welcome 🙂

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