The firm wishes to estimate the beta of a portfolio that consists of two assets X and Y. The investment manager of the firm has gathered the following information on the two assets. Securities Rate of Return Standard Deviation Beta X 20% 20% 1.5 Y 10% 30% 1.0 Risk free asset 5% Calculate: The beta of the portfolio if 75% of the funds are invested in Y and 25% in X   The portfolio expected return and the portfolio beta if you invest 35 % in X, 45% in Y and 20 % in the risk-free asset   Assuming the CAPM applies, if the market’s expected return is 13 percent, the risk free rate is 8% and stock X’s required rate of return is 16%, what is the stock’s beta coefficient?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
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ISBN:9781337514835
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Chapter8: Analysis Of Risk And Return
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The firm wishes to estimate the beta of a portfolio that consists of two assets X and Y.

The investment manager of the firm has gathered the following information on the two

assets.

Securities

Rate of Return

Standard

Deviation

Beta

X

20%

20%

1.5

Y

10%

30%

1.0

Risk free asset

5%

Calculate:

  1. The beta of the portfolio if 75% of the funds are invested in Y and 25% in X

 

  1. The portfolio expected return and the portfolio beta if you invest 35 % in X, 45% in Y

and 20 % in the risk-free asset

 

  1. Assuming the CAPM applies, if the market’s expected return is 13 percent, the risk

free rate is 8% and stock X’s required rate of return is 16%, what is the stock’s beta

coefficient?

 

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