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Dec 2014 Q3 Value at risk

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA AFM Exams › Dec 2014 Q3 Value at risk

  • This topic has 1 reply, 2 voices, and was last updated 7 years ago by John Moffat.
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  • September 7, 2017 at 5:25 am #406267
    elsawang
    Member
    • Topics: 2
    • Replies: 1
    • ☆

    The annual standard deviation of project PV is 400000. VAR= 400000*1.645*5^(0.5)
    Could you explain why it multiplies 5^(0.5) ?

    September 7, 2017 at 7:53 am #406310
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54696
    • ☆☆☆☆☆

    I do explain this in my free lectures!!!

    If the standard deviation for 1 year is S, then the standard deviation for n years is
    S x square root of n.

    So here, the SD for 1 year is 400,000. We want it for 5 years, so the SD for 5 years is
    400,000 x (square root of 5).
    (Writing something to the power of 0.5 is another way of writing ‘square root’)

    The reason is that the 5 year variance is equal to 5 times the annual variance, and the variance is the std deviation squared. However, the reason itself is not relevant for the exam – all you need to remember is to multiply the annual SD by the square root of the number of years.

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