Normal distribution theory table/VaR

mac1
mac1 Registered Posts: 40 Regular contributor ⭐
Is anyone able to tell me? A value at risk calculation confidence level of 95% equals 5% on a normal distribution table of -1.65 standard deviations. But I cannot see where this comes from on a normal distribution table, other than it's kind of the first area of the bell curve; I cannot tell anything from the Kaplan Complete Text and I'm none the wiser from numerous pages on the internet. It's for risk assessment of investment portfolios/assets for the ACCA P4 module. I could memorise it as -1.65 std deviations I suppose, but it would be good to know anyway.

Many thanks.

Comments

  • SandyHood
    SandyHood Registered, Moderator Posts: 2,027 mod
  • mac1
    mac1 Registered Posts: 40 Regular contributor ⭐
    Cheers! Unfortunately the article still doesn't show me where the -1.65 or -2.33 standard deviations figures come from. Still, at least I know that they're for 95% and 99% probability, so I'll just have to take them as is.
  • SandyHood
    SandyHood Registered, Moderator Posts: 2,027 mod
    Look at the normal distribution table
    The value for 1.65 is rounded off as 0·4505

    This shows only one side of the mean on the curve
    But a normal distribution is equal on either side of the mean

    So if you are looking for a 0.9 value (90%) then you are looking for +/- 1.65 standard deviations from the mean

    And a 95% is 0·475 x 2 (found at the 1.96 standard deviations point)

    There was a time when statistics was part of the ACCA qualification - I certainly remember "Decision Making Techniques".
    Sandy
    sandy@sandyhood.com
    www.sandyhood.com
  • SandyHood
    SandyHood Registered, Moderator Posts: 2,027 mod
    F9 has normal distribution and standard deviation in the current syllabus

    He is an article with aspects aimed at the non-technical reader
    See if it helps
    http://riskinstitute.ch/Question11_b.htm

    Otherwise see if your local library has an introductory statistics textbook
    Sandy
    sandy@sandyhood.com
    www.sandyhood.com
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