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 0.40, 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 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 zero, 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 50% of her money in Firm A's common stock and 50% in Firm B's common stock and the correlation coefficient between the two stocks is +1, then the expected rate of return in the portfolio is%. (Round to two decimal places.)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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The standard deviation in the portfolio is %. (Round to two decimal places.)
c. 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 coefficient between the two stocks is +1, then the expected rate of
return in the portfolio is%. (Round to two decimal places.)
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The standard deviation in the portfolio is%. (Round to two decimal places.)
d. 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 coefficient between the two stocks is -1, 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.)
e. Using your responses to questions a-d, which of the following statements best describes the relationship between the correlation and the risk and return of the portfolio? (Select the best
choice below.)
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Transcribed Image Text:← @ 2 F2 W S Data table Firm A's common stock Firm B's common stock Correlation coefficient (Click on the icon in order to copy its contents into a spreadsheet.) command X # 3 80 13 E D The standard deviation in the portfolio is %. (Round to two decimal places.) c. 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 coefficient between the two stocks is +1, then the expected rate of return in the portfolio is%. (Round to two decimal places.) $ 4 C The standard deviation in the portfolio is%. (Round to two decimal places.) d. 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 coefficient between the two stocks is -1, 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.) e. Using your responses to questions a-d, which of the following statements best describes the relationship between the correlation and the risk and return of the portfolio? (Select the best choice below.) DOD 000 Print R F % 5 Expected Return V 0.16 0.16 0.40 F5 T Done G 6 MacBook Air B Standard Deviation 0.17 0.22 F6 Y & 7 H 44 F7 - X U N 00* 8 J rom Nichols State University and is anxious to begin investing her meager savings rtfolio comprised of two firms' common stock. She has collected the following P-ll FB and standard deviation in portfolio return? 1 m of the portfolio. he correlation between the two stocks is 0.40, then the expected rate of return in he correlation between the two stocks is zero, then the expected rate of return in Question Viewer M - 0 9 K MOSISO F9 O 1 0 < I L $10 P - > command : . ; 4 F11 { 11 + = ? option 48 " 1 Next I F12 1 ◄ dele
(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 0.40, then the expected rate of return in
the portfolio is%. (Round to two decimal places.)
2
The standard deviation in the portfolio is%. (Round to two decimal places.)
b. 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 zero, 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 50% of her money in Firm A's common stock and 50% in Firm B's common stock and the correlation coefficient between the two stocks is +1, 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. 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 coefficient between the two stocks is -1, then the expected rate of
return in the portfolio is%. (Round to two decimal places.)
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The standard deviation in the portfolio is %. (Round to two decimal places.)
e. Using your responses to questions a-d, which of the following statements best describes the relationship between the correlation and the risk and return of the portfolio? (Select the best
choice below.)
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Transcribed Image Text:(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 0.40, then the expected rate of return in the portfolio is%. (Round to two decimal places.) 2 The standard deviation in the portfolio is%. (Round to two decimal places.) b. 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 zero, 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 50% of her money in Firm A's common stock and 50% in Firm B's common stock and the correlation coefficient between the two stocks is +1, 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. 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 coefficient between the two stocks is -1, then the expected rate of return in the portfolio is%. (Round to two decimal places.) 30 F2 W S The standard deviation in the portfolio is %. (Round to two decimal places.) e. Using your responses to questions a-d, which of the following statements best describes the relationship between the correlation and the risk and return of the portfolio? (Select the best choice below.) X H command # 3 8,0 E D $ 4 C . DDD 000 F4 R F % 5 V 15 T G A 6 MacBook Air B Fo Y H & 7 44 F7 U N * of 8 J bell FA 1 M 1 9 K MOSISO DD 19 O < 1 1 H 0 L 4 F10 P command > : ; 4 I P11 + { TJ ? option Next F12 ** B 1 1 delete
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