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The return profiles of 2 assets are given below. What is the minimum risk, in terms...

  1. The return profiles of 2 assets are given below. What is the minimum risk, in terms of standard deviation, that can be achieved with a portfolio that holds these two assets? The weight of the 2 assets must be positive and sum up to 1. That is, holding 0 of each and thus having 0 risk is not allowed. (Hint: let weight in asset A be w, and weight in asset B be 1-w. The standard deviation of the portfolio is a quadratic function of w. You only need to find the minimum for the quadratic function.

  2. E[r]

    St.dev

    Correlation

    Asset A

    10%

    20%

    -0.25

    Asset B

    4%

    10%

    Extra credit (10pts. Can be used to make up for points you lost in this problem set. However, the total score of the problem set cannot exceed 100): Assume Rf=0. What is the highest Sharpe ratio that can be achieved with the 2 assets?

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Answer #1

Standard Deviation Asset A Asset B correlation coefficient 20% 10% 0.25 Weight of Asset A Weight of Asset B Portfolio Standar

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