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In a universe of 4 stocks, namely 1, 2, 3, and 4; general solution for the simultaneous equations was worked out and Zs were estimated

In a universe of 4 stocks, namely 1, 2, 3, and 4; general solution for the simultaneous equations was worked out and Zs were estimated to be : Z1 = 0.4 Z2 = 0.2 + 0.1*Rf Z3 = 0.3 + 0.3 *Rf Z4 = 1 + 2Rf Expected return on stock 1 = 10%, on stock 2 = 11%, on stock 3 = 12% and stock 4 were 13% Covariance of returns are : COV 1,2= 9; COV 1,3 = 18; COV 1,4 = 12; COV 2,3 = 28 ; COV 2,4 = 20; COV 3,4 = 4 , VAR of return of each stock is: VAR 1 = 36; VAR 2 = 9; VAR 3 = 25; VAR 4 = 64 Required: 1. Assume Rf is 2 , please find the weights (Xs) of this Markowitz efficient portfolio (note that weight of each stock, Xi = ( Zi / Sum of Zs) 2. calculate expected return Rp of this Markowitz portfolio 3. Calculate total risk (VAR p) of this Markowitz efficient portfolio

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