April 2012 Question 4

Discussion in 'CT6' started by Polina Hadjipanayiotou, Feb 26, 2018.

  1. Hello everyone,

    how come the variance of the approximate normal distribution is 0.2* n*148.56^2 and not 0.2*n*148.56^2 - 0.2*n*109^2 ?

    Thanks
     
    Last edited by a moderator: Feb 26, 2018
  2. Because the aggregate claims follow a compound Poisson distribution.
    Variance in this case is equal to product of Poisson parameter and the 2nd raw moment of the claim amount.
     
    Last edited by a moderator: Feb 26, 2018

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