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Consider three risky assets with expected return R1, R2, R3. The covariance matrix and the expected rates of return are (1) Find the minimum variance

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Consider three risky assets with expected return R1, R2, R3. The covariance matrix and the expected rates of return are (1) Find the minimum variance portfolio V. Suppose there is an additional asset with (sigma 4, mu4) = ( 1.37, 0.2), rho1,4 = 0.35, rho2,4 = -0.1, and rho3,4 = 0.8. Consider a new portfolio V? which combines this asset with the portfolio V associated to your answer to (1) (i.e., RV? = w1?R4 + w2?RV). If w1? = 0.2, w2? = 0.8, compute the variance of your new portfolio sigma V?2. Consider three risky assets with expected return R1, R2, R3. The covariance matrix and the expected rates of return are (1) Find the minimum variance portfolio V. Suppose there is an additional asset with (sigma 4, mu4) = ( 1.37, 0.2), rho1,4 = 0.35, rho2,4 = -0.1, and rho3,4 = 0.8. Consider a new portfolio V? which combines this asset with the portfolio V associated to your answer to (1) (i.e., RV? = w1?R4 + w2?RV). If w1? = 0.2, w2? = 0.8, compute the variance of your new portfolio sigma V?2

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