(Computing the standard deviation for a portfolio of two risky investments) Mary Guilott recently graduated from Nicho
Posted: Thu May 19, 2022 5:34 am
(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:
Expected
Return
Standard Deviation
Firm A's common stock
0.17
0.17
Firm B's common stock
0.18
0.24
Correlation coefficient
0.70
.
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.
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:
Expected
Return
Standard Deviation
Firm A's common stock
0.17
0.17
Firm B's common stock
0.18
0.24
Correlation coefficient
0.70
.
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.