Question 6: Let R1 and R, be two random variables representing the unit returns of two assets with the same expected value and variance of and o, respectively. Suppose that R1 and R2 are uncorrelated. LetR= w,R +w,R2 be the return of a portfolio of the two assets in which the portfolio weights satisfy wi + w2 = 1, w, 20 and wz 20 %3D (no short selling). Find the weights which minimize the portfolio variance.

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Author:Amos Gilat
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Question 6: Let R1 and R2 be two random variables representing the unit returns of
two assets with the same expected value and variance of and o?, respectively. Suppose
that R1 and R2 are uncorrelated. Let R = w,R1 + w2R, be the return of a portfolio of
the two assets in which the portfolio weights satisfy wi + w2 = 1, wi 20 and wz 2 0
(no short selling). Find the weights which minimize the portfolio variance.
Transcribed Image Text:Question 6: Let R1 and R2 be two random variables representing the unit returns of two assets with the same expected value and variance of and o?, respectively. Suppose that R1 and R2 are uncorrelated. Let R = w,R1 + w2R, be the return of a portfolio of the two assets in which the portfolio weights satisfy wi + w2 = 1, wi 20 and wz 2 0 (no short selling). Find the weights which minimize the portfolio variance.
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