(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:

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.a.If Mary decides to invest

10

percent of her money in Firm A's common stock and

90

percent in Firm B's common stock, what is the expected rate of return and the standard deviation of the portfolio return?b.If Mary decides to invest

90

percent of her money in Firm A's common stock and

10

percent in Firm B's common stock, what is the expected rate of return and the standard deviation of the portfolio return?c.Recompute your responses to both questions a and

b,

where the correlation between the two firms' stock returns is

0.30.

d.Summarize what your analysis tells you about portfolio risk when combining risky assets in a portfolio.

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

0.30,

then the expected rate of return in the portfolio is

nothing%.

(Round to two decimal places.)The standard deviation in the portfolio is

nothing%.

(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

0.30,

then the expected rate of return in the portfolio is

nothing%.

(Round to two decimal places.)The standard deviation in the portfolio is

nothing%.

(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

0.30,

then the expected rate of return in the portfolio is

nothing%.

(Round to two decimal places.)The standard deviation in the portfolio is

nothing%.

(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

0.30,

then the expected rate of return in the portfolio is

nothing%.

(Round to two decimal places.)The standard deviation of the portfolio is

nothing%.

(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.)

A.

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.

B.

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.

C.

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.

D.

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.

Click to select your answer(s).

Data Table Firm A's common stock Firm B's common stock Correlation coefficient Expected Returns 0.15 0.08 0.30 Standard Deviation 0.15 0.08