Compute the expected return and standard deviation, Financial Management

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Question:

Consider the following information:

 

Stock A

Stock B

Beta

0.8

1.4

Share price, $

20

40

Standard deviation

25%

50%

Correlation between A and B

0.25

Treasury bills currently yield 2%, and the market risk premium is 6%.

(a) Compute the expected return and standard deviation of a portfolio of 100 shares of Stock A and 100 shares of Stock B.

(b) Ajay has $10,000 to invest.  He plans to invest $4,000 in Stock B.  He will allocate the rest of his money to Treasury bills and Stock A.  His goal is to construct a portfolio with a beta of 1.0.  Compute the investment amounts (in dollars) in Treasury bills and Stock A required to achieve the goal.


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