K (Computing the standard deviation for a portfolio of two risky investments) Mary Guilott recently graduated from Nichols State University and is anxious to begin investing her meager savings as a way of applying what she has learned in business school. Specifically, she is evaluating an investment in a portfolio comprised of two firms' common stock. She has collected the following information about the common stock of Firm A and Firm B: a. If Mary invests half her money in each of the two common stocks, what is the portfolio's expected rate of return and standard deviation in portfolio return? b. Answer part a where the correlation between the two common stock investments is equal to zero. c. Answer part a where the correlation between the two common stock investments is equal to +1. 1. d. Answer part a where the correlation between the two common stock investments is equal to e. Using your responses to questions a-d, describe the relationship between the correlation and the risk and return of the portfolio. a. If Mary decides to invest 50% of her money in Firm A's common stock and 50% in Firm B's common stock and the correlation between the two stocks is 0.70, then the expected rate of return in the portfolio is%. (Round to two decimal places.) Data table Firm A's common stock Firm B's common stock Correlation coefficient CIE Expected Return 0.17 0.19 0.70 Standard Deviation 0.15 0.24 X

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(Computing the standard deviation for a portfolio of two risky investments) Mary Guilott recently graduated from Nichols State University and is anxious to begin investing her
meager savings as a way of applying what she has learned in business school. Specifically, she is evaluating an investment in a portfolio comprised of two firms' common stock.
She has collected the following information about the common stock of Firm A and Firm B:
a. If Mary invests half her money in each of the two common stocks, what is the portfolio's expected rate of return and standard deviation in portfolio return?
b. Answer part a where the correlation between the two common stock investments is equal to zero.
c. Answer part a where the correlation between the two common stock investments is equal to +1.
d. Answer part a where the correlation between the two common stock investments is equal to 1.
e. Using your responses to questions a-d, describe the relationship between the correlation and the risk and return of the portfolio.
a. If Mary decides to invest 50% of her money in Firm A's common stock and 50% in Firm B's common stock and the correlation between the two stocks is 0.70, then the expected
rate of return in the portfolio is%. (Round to two decimal places.)
Data table
Firm A's common stock
Firm B's common stock
Correlation coefficient
Expected
Return
CHE
0.17
0.19
0.70
Standard
Deviation
0.15
0.24
X
Transcribed Image Text:K- (Computing the standard deviation for a portfolio of two risky investments) Mary Guilott recently graduated from Nichols State University and is anxious to begin investing her meager savings as a way of applying what she has learned in business school. Specifically, she is evaluating an investment in a portfolio comprised of two firms' common stock. She has collected the following information about the common stock of Firm A and Firm B: a. If Mary invests half her money in each of the two common stocks, what is the portfolio's expected rate of return and standard deviation in portfolio return? b. Answer part a where the correlation between the two common stock investments is equal to zero. c. Answer part a where the correlation between the two common stock investments is equal to +1. d. Answer part a where the correlation between the two common stock investments is equal to 1. e. Using your responses to questions a-d, describe the relationship between the correlation and the risk and return of the portfolio. a. If Mary decides to invest 50% of her money in Firm A's common stock and 50% in Firm B's common stock and the correlation between the two stocks is 0.70, then the expected rate of return in the portfolio is%. (Round to two decimal places.) Data table Firm A's common stock Firm B's common stock Correlation coefficient Expected Return CHE 0.17 0.19 0.70 Standard Deviation 0.15 0.24 X
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