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4. Assume a market portfolio consisting of two securities, i = 1,2. Further, assume that the weight of security 1 in the market portfolio is

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4. Assume a market portfolio consisting of two securities, i = 1,2. Further, assume that the weight of security 1 in the market portfolio is wi = 0.5 and that the covariance matrix is given below. a) Compute the variance of the market portfolio, o when the standard deviations for i = 1,2 are 5 and 8 percent respectively. [6] R1 R2 R1 0.2 0.1 R2 0.1 0.2 [4] b) Compute the CAPM-betas of security 1 and security 2, i.e. 1 and 2. c) Assume that E[rM] = 0.05 (i.e., 5%) and rf = 0.01 (i.e., 1%). Compute the expected return of both securities and their Sharpe ratios. [5]

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