Question
Consider d=4 assets whose returns Rj are modelled with Sharp's single-index model with zero interest rates, with Rj = +*RM +j, where; RM is the
Consider d=4 assets whose returns Rj are modelled with Sharp's single-index model with zero interest rates, with Rj = +*RM +j, where; RM is the market portfolio return, = 0.1 is the i's stock's alpha, or abnormal return, =0.3 is the i's stocks's beta, or responsiveness to the market return, and j are independent and normally distributed with mean zero and standard deviation =0.2, also independent of RM. We furthermore assume that the expected return of the market portfolio is M=0.3 and with standard deviation M=0.2. Note that we do not assume any further knowledge on the distribution of RM. Consider now a portfolio with equal portions invested in each of the for risky assets 1,2,3,4. What is the expected return of this portfolio? Please insert with two decimal places.
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