CT5 chap 9

Discussion in 'CT5' started by shdh, Feb 10, 2017.

  1. shdh

    shdh Ton up Member

    Hi,
    I have a query in in the example on page 19 of chapter 9.

    Can anyone explain me the last part of it, the last equation, where we arrive at 5px (infinity)q(x+5):y(1)?

    Thanks for help!

    Regards,
    Shyam
     
  2. deepakraomore

    deepakraomore Member

    X to die 5 years after Y. So X needs to survive when Y dies.

    \( _5P_x\) is probability that age x will survive for 5 more years.
    \( _\infty q_{x+5:{y}^{1}}\) is probability that y dies before X at any time ( So infinity ) conditioning that X to die 5 years after Y's death.
    To achieve this X needs to survive for 5 years after Y's death. Which is \( _5P_x\)
     

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