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Assume an economy in which there are three securities: Stock A with rA = 10% and σ A = 10%; Stock B with rB = 15% and σ B = 20%; and a riskless asset with r RF = 7%. Stocks A and B are uncorrelated (rAB = 0). Which of the following statements is most correct?
A. The expected return on the investor's portfolio will probably have an expected return that is somewhat below 10%.
B. The expected return on the investor's portfolio will probably have an expected return that is somewhat above 15% and a standard deviation (SD) of approximately 20%.
C. Since the two stocks have a zero correlation coefficient, the investor can form a riskless portfolio whose expected return is in the range of 10% to 15%.
D. The investor's risk/return indifference curve will be tangent to the CML at a point where the expected return is in the range of 7% to 10%.
E. The expected return on the investor's portfolio will probably have an expected return that is somewhat below 15% and a standard deviation (SD) that is between 10% and 20%.

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Answer: E. The expected return on the investor's portfolio will probably have an expected return that is somewhat below 15% and a standard deviation (SD) that is between 10% and 20%.

Explanation:

Out of the three securities, the highest return that can be received is 15%. It will therefore be impossible for the entire portfolio to go past 15% in returns because even if a 100% of the portfolio is invested in stock B (Stock with 15%), the highest return will be 15%. With other returns stock added, the return will decrease from the highest return receivable so will be under 15%.

The same logic applies for the standard deviation. The highest standard deviation is 20% so the deviation will not exceed this but it will be lower than this due to the presence of less risky stocks in A and the the riskless asset.

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