VaR Discrete example, online classroom

Discussion in 'CM2' started by s1645544, Dec 2, 2023.

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  1. s1645544

    s1645544 Active Member

    There is an example in the online tutorials that I am a bit confused about.

    example
    X = 1-year return in $ on an investment
    X =
    5,000 prob 0.9
    -5,000 prob 0.05
    -10,000 prob 0.04
    -20,000 prob 0.01
    answer
    A: the solution says the 1-year 99% VaR = $10,000
    I guess they get this from 5,000-5,000-10,000 = -10,000 as the respective probabilities 0.9+0.05+0.04 = 0.99.

    However I don't understand why the solution isn't
    B: the 1-year 99% VaR = $20,000
    as we know the probability of getting a loss of 20,000 is 0.01, therefore can we not say
    'We are 99% confident that losses will not exceed $20,000 next year"?

    Please if someone could explain this to me / the difference in A and B that would be greatly appreciated.

    Thanks in advance.
     
  2. CapitalActuary

    CapitalActuary Ton up Member

    You can be 100% confident that you won’t get a loss bigger than 20,000 because the probabilities there add up to 1.
     
    yatsa likes this.
  3. s1645544

    s1645544 Active Member

    thank you! this makes sense, i understand now
     

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