(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.
(Computing the standard deviation for a portfolio of two risky investments) Mary Guilott recently graduated from Nicho
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