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confidence level

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA AFM Exams › confidence level

  • This topic has 11 replies, 6 voices, and was last updated 11 years ago by John Moffat.
Viewing 12 posts - 1 through 12 (of 12 total)
  • Author
    Posts
  • May 29, 2012 at 2:38 pm #52950
    snake681218
    Member
    • Topics: 9
    • Replies: 6
    • ☆

    dear tutor:

    I learned that with 95% confidence level, we can get 1.645in our VaR calculation, can you advise, how can we get this number (1.645)from the standard normal distribution table? I do not know how to use the table to get this data. thanks a lot.

    May 30, 2012 at 2:18 pm #98581
    nonoacca
    Member
    • Topics: 5
    • Replies: 12
    • ☆

    just remember ,it is a math question… when you learn math you will know it.95%=-1.645,99%=-2.330

    May 30, 2012 at 7:46 pm #98582
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54682
    • ☆☆☆☆☆

    @snake681218 said:
    dear tutor:

    I learned that with 95% confidence level, we can get 1.645in our VaR calculation, can you advise, how can we get this number (1.645)from the standard normal distribution table? I do not know how to use the table to get this data. thanks a lot.

    What you do is this:

    For 95% confidence, we need to know the number of standard deviations where the is a 5% chance of being below the average.

    There is a 50% chance of being above average and 50% chance of being below average, and so the limit for their being a chance of being 5% below is 45% away from the average (50% – 5%).

    So you look in the tables and find how many standard deviations give an answer of 45% or 0.4500.

    If you look at the tables, 1.64 standard deviations gives an answer of 0.4495, and 1.65 standard deviations gives an answer of 0.4505 so for 0.4500 it is somewhere between the two – approximately 1.645 (approximate, because in fact it is not linear).

    Using the same logic, for 99% confidence you want an answer of 49% (or 0.49). (50% – 1% = 49%)

    From the tables, you will see that 2.33 standard deviations gives an answer of 0.4901, which is close enough 🙂

    May 30, 2012 at 7:46 pm #98583
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54682
    • ☆☆☆☆☆

    Its not actually maths – it is statistics.

    June 1, 2012 at 12:42 am #98584
    snake681218
    Member
    • Topics: 9
    • Replies: 6
    • ☆

    Thank you so much! You really help a lot.

    June 1, 2012 at 11:05 am #98585
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54682
    • ☆☆☆☆☆

    You are welcome 🙂

    August 7, 2012 at 10:16 am #98586
    angryhamtaro
    Member
    • Topics: 10
    • Replies: 162
    • ☆☆

    I stumbled upon this through Google. Thanks John, you’re my big savior! 🙂

    August 7, 2012 at 12:54 pm #98587
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54682
    • ☆☆☆☆☆

    You are welcome 🙂

    August 12, 2012 at 1:39 pm #98588
    nandinigirish
    Member
    • Topics: 4
    • Replies: 6
    • ☆

    Amazing, I been taught by 2 different teachers used complicated method. But this method of calculating confident level is superb. Thank you very much.

    August 13, 2012 at 1:52 pm #98589
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54682
    • ☆☆☆☆☆

    @nandinigirish said:
    Amazing, I been taught by 2 different teachers used complicated method. But this method of calculating confident level is superb. Thank you very much.

    You are welcome 🙂

    October 22, 2013 at 7:11 am #143355
    ayish
    Member
    • Topics: 15
    • Replies: 13
    • ☆

    this is the most useful site ive ever come across…always find solutions to all my study problems here…thanku john…this method is super easy.. God bless u 🙂

    October 22, 2013 at 10:26 am #143372
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54682
    • ☆☆☆☆☆

    You are welcome as well 🙂

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