Chapter 6 Question 6.7.ii

Discussion in 'CM2' started by ActStudent2711, Mar 17, 2022.

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  1. Hi,

    In question 6.7.ii we are asked to calculate the equation of the efficient frontier using the Lagrangian function. The solution finds the partial derivatives, determines equations for x1 and x2 and substitutes this back into the expression for variance of portfolio returns.

    Do we not also need to find dV/dE as this will give us the part of the curve above the global minimum variance as this would be the equation of the efficient frontier?
     
  2. Steve Hales

    Steve Hales ActEd Tutor Staff Member

    Hi
    Usually, yes, but in this question the risky assets are perfectly correlated and so the efficient frontier is actually a straight line.
    Hence there is no "upper portion".
    Thanks
     
    ActStudent2711 likes this.
  3. Hi Steve,

    This makes sense now. Thank you for your response
     

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