1. Posts in the subject areas are now being moderated. Please do not post any details about your exam for at least 3 working days. You may not see your post appear for a day or two. See the 'Forum help' thread entitled 'Using forums during exam period' for further information. Wishing you the best of luck with your exams.
    Dismiss Notice

Calculations in ELT15

Discussion in 'CT5' started by m_bora, Jun 20, 2013.

  1. m_bora

    m_bora Member

    Hi,

    Please can anyone hep me derive the formula used to work out force of mortality mu x given in the table ELT 15 from year 1 onwards.

    Thanks,
    Mahesh.
     
    m_bora, Jun 20, 2013
    #1
  2. Calum

    Calum Member

    Is your question really why is \(e^{-\mu}\neq 1 - p_x\) in ELT15?

    The answer to that is that the values of \(\mu\) given are those that apply instantaneously at age (x) exactly. The value of \(\mu\) that gives \(p_x\) is the average value of \(\mu\) between (x) and (x+1).

    You can't derive the values exactly as they arise from the underlying data. Averaging \(\mu\) for (x) and (x+1) will get you close, though.
     
    Calum, Jun 20, 2013
    #2
  3. Mark Mitchell

    Mark Mitchell Member

    Just to add that the way in which the value of mu is obtained from underlying mortality data is covered in CT4.
     
    Mark Mitchell, Jun 27, 2013
    #3

Share This Page