Hi! I need help with question c) and d)
Consider the following data on stocks A, B and C, and
portfolio S, market M and risk-free rate Rf.
Rf = 2%, E(RM) = 12%, σM = 20%, σA,M = 0.038, σB,M = 0.004, σC,M = 0.12, σS,M = 0.05
a) Assume that the CAPM holds. Determine the expected return of stocks A, B and C, and portfolio S.
b) From Market prices you compute the implicit expected returns for stocks A, B and C and portfolio S: E(RA) = 10%, E(RB) = 3%, E(RC) = 24% and E(RS) = 10%.
If CAPM is the correct model which assets should you buy or sell?
Given the computed non-zero alphas, the market cannot be the tangent portfolio. Your co-worker claims that portfolio S can be the tangent portfolio. In order to test this claim you obtain the following data:
Rf = 2%, E(RS) = 10%, σS = 20%, σA,S = 0.04, σB,S = 0.005, σC,S = 0.11, σM = 0.05
c) Can you reject that portfolio S is the tangent portfolio?
d) You construct a portfolio by allocating 30% of your wealth in the risk-free security, 40% in portfolio S and 30% in the market portfolio. Determine the expected return and standard deviation of this portfolio. Is this portfolio an efficient portfolio? Justify your answer..
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