Question
(Computing the standard deviation for a portfolio of two risky investments)Mary Guilott recently graduated from college and is evaluating an investment in two companies' common
(Computing the standard deviation for a portfolio of two risky investments)Mary Guilott recently graduated from college and is evaluating an investment in two companies' common stock. She has collected the following information about the common stock of Firm A and Firm B:
Expected Returns | Standard Deviation | |
---|---|---|
Firm A's common stock | 0.15 | 0.11 |
Firm B's common stock | 0.07 | 0.05 |
Correlation coefficient | 0.50 |
a.If Mary decides to invest 10% of her money in Firm A's common stock and 90% in Firm B's common stock and the correlation coefficient between the two stocks is 0.50, then the expected rate of return in the portfolio is __ %. (Round to two decimal places.)
The standard deviation in the portfolio is __%. (Round to two decimal places.)
b. If Mary decides to invest 90% of her money in Firm A's common stock and 10% in Firm B's common stock and the correlation coefficient between the two stocks is 0.50, then the expected rate of return in the portfolio is __%. (Round to two decimal places.)
The standard deviation in the portfolio is __%. (Round to two decimal places.)
c. If Mary decides to invest 10% of her money in Firm A's common stock and 90% in Firm B's common stock and the correlation coefficient between the two stocks is 0.50, then the expected rate of return in the portfolio is __%. (Round to two decimal places.)
The standard deviation in the portfolio is __%. (Round to two decimal places.)
If Mary decides to invest 90% of her money in Firm A's common stock and 10% in Firm B's common stock and the correlation coefficient between the two stocks is 0.50, then the expected rate of return in the portfolio is __%. (Round to two decimal places.)
The standard deviation in the portfolio is __%. (Round to two decimal places.)
d. What does your analysis tell you about portfolio risk when combining risky assets in a portfolio? (Select the best choice below.)
-You can maintain the same return in a portfolio but lower risk more if the stocks are negatively correlated rather than positively correlated. If correlation of two stocks is the same, risk can also be lowered by investing a higher proportion of the portfolio in stock with lower standard deviation, this however will effect return.
-You can maintain the same return in a portfolio but lower risk if the stocks are positively correlated rather than negatively correlated. Regardless of correlation, risk can also be lowered by investing a higher proportion of the portfolio in stock with higher standard deviation, this however will increase return.
-You can maintain the same return in a portfolio but lower risk if the stocks are negatively correlated rather than positively correlated. Regardless of correlation, risk can also be lowered by investing a higher proportion of the portfolio in stock with higher standard deviation, this however will reduce return.
-You can maintain the same return in a portfolio but lower risk more if the stocks are positively correlated rather than negatively correlated. If correlation of the two stocks is the same, risk can also be lowered by investing a higher proportion of the portfolio in stock with lower standard deviation, this however will reduce return.
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