Q&A Bank q5.28 iii

Discussion in 'SP9' started by krishdear, Sep 20, 2020.

  1. krishdear

    krishdear Member

    Can someone explain the 2 x (-1) term under the square root in the solution to this question?
     
  2. Anna Bishop

    Anna Bishop ActEd Tutor Staff Member

    Hi Krishdear

    I think these are the proportions, x1 and x2, invested in each of the two funds (technology and growth).

    Let the portfolio return be:

    R(p) = x(1) R(1) + x(2) R(2)

    where R(1) and R(2) are the returns on the two funds respectively.

    The variance on the portfolio is:

    var(p) = x1^2 var(1) + x2^2 var(2) + 2 x1 x2 sigma(1) sigma (2) rho(1,2)

    where:
    x1 = 15/(15 - 7.5) = 2 = 200%
    x2 = -7.5/(15 - 7.5) = -1 = -100%
    rho(1,2) = -0.25
    sigma(1) = 0.04
    sigma(2) = 0.02

    Does this help?
    Anna
     
    Last edited: Sep 30, 2020
  3. krishdear

    krishdear Member

    Thanks Anna, it was very useful.
     
    Anna Bishop likes this.

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