You are given the following data on three securities a b

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You are given the following data on three securities, A, B, and the market, M:

 

Security

Expected

Return (R-)

Standard Deviation(σ)

Covariance with "M" Cov(R, RM)

A

10%

15%

225

B

10%

15%

180

M

10%

15%

225

Note:  The risk-free rate is RF = 5%.

a. Compute the correlation between A and the market, and B and the market.

b. Based on your answer to part (a), which of the two securities, A or B, is better to be combined into a portfolio with M?  Explain briefly.

c. Compute the expected return and standard deviation for a portfolio formed between M and your choice in part (b). Then compute the weighted-average standard deviation of this portfolio and explain why the portfolio's actual standard deviation is less than just holding any of the three securities, all of which have a standard deviation of 15% and an expected return of 10%.

d. Compute the systematic risk β CAPM expected return for your choice in part (b). Why is it less than 10%?  Explain in the context of systematic and total risk.

Reference no: EM13380981

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