Chapter 7 Pg13: Variance of portfolio returns

Discussion in 'CM2' started by Actuary_140, Aug 31, 2021.

  1. Actuary_140

    Actuary_140 Member

    Hi,

    I hope I'm not missing something simple here - - > in the solutions on pg13 of the notes (Chp 7), what happens to the (beta(i)^2 * VM) in the bracket for the specific risk?

    In the next workings line, only the (V error term, i) remains. Does the variable above go to zero?

    Thanks
     
  2. Steve Hales

    Steve Hales ActEd Tutor Staff Member

    Hi
    Look at the indicies of the double summation terms. The \(\beta_i^2 V_M\) term is captured by the double summation when the \(j \neq i\) condition is removed.
    Hope that helps.
     
    Actuary_140 likes this.

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