CT6 Chapter 4 Q4.7 Truncated Lognormal Formula

Discussion in 'CT6' started by mcallist, Sep 6, 2017.

  1. mcallist

    mcallist Member

    Hi,

    Could someone please help with this.
    IN the CMP, chapter 4.7, we're asked to use the formula to find the mean and the variance of the lognormal distribution. Could someone please explain where the infinity and - infinity come from, step by step in the solution that's given.

    I know it's a fairly stupid question, but I'm always thrown by when infinity is around.

    Cheers,
    Tom
     
  2. John Lee

    John Lee ActEd Tutor Staff Member

    Are you referring to question 4.7?

    If so, then the bit that is probably causing grief is when you substitute into the formula:

    For \(L=0\) we have:

    \(L_1 = \frac{log0 - \mu}{\sigma} - \sigma = \frac{-\infty - \mu}{\sigma} - \sigma \rightarrow -\infty\)

    For \(U\rightarrow \infty\) we have:

    \(L_1 = \frac{log\infty - \mu}{\sigma} - \sigma = \frac{\infty - \mu}{\sigma} - \sigma \rightarrow \infty\)
     
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  3. mcallist

    mcallist Member

    Thanks John, yea, sorry meant Q 4.7. Perfect, that's what I was after. Cheers
     
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