3. Consider two stocks A and B with expected returns of 6% (stock A) and 8% (stock B). The matrix of variances and covariances is presented below: Stock A B A 0.0064 -0.008 B -0.008 0.01 a. Write the variance of the portfolio composed of A and B as a function of the proportion x invested in stock A. (1-x) is invested in B. Short sales are not allowed on the market. b. Write the variance of the portfolio composed of A and B as a function of the portfolio's expected return. c. What are the proportions invested in the minimum risk portfolio composed of A and B?

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter2: Risk And Return: Part I
Section: Chapter Questions
Problem 6P: The market and Stock J have the following probability distributions: a. Calculate the expected rates...
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3. Consider two stocks A and B with expected returns of 6% (stock A) and 8% (stock B). The matrix
of variances and covariances is presented below:
Stock
A
В
A
0.0064
-0.008
B
-0.008
0.01
a. Write the variance of the portfolio composed of A and B as a function of the proportion x invested in
stock A. (1-x) is invested in B. Short sales are not allowed on the market.
b. Write the variance of the portfolio composed of A and B as a function of the portfolio's expected
return.
c. What are the proportions invested in the minimum risk portfolio composed of A and B?
d. Draw the graph of the portfolios combining A and B in a (V, E) space. V=variance, E=expected
return.
e. If the standard deviation of the pf is 7% what proportions were invested in A and B?
Transcribed Image Text:3. Consider two stocks A and B with expected returns of 6% (stock A) and 8% (stock B). The matrix of variances and covariances is presented below: Stock A В A 0.0064 -0.008 B -0.008 0.01 a. Write the variance of the portfolio composed of A and B as a function of the proportion x invested in stock A. (1-x) is invested in B. Short sales are not allowed on the market. b. Write the variance of the portfolio composed of A and B as a function of the portfolio's expected return. c. What are the proportions invested in the minimum risk portfolio composed of A and B? d. Draw the graph of the portfolios combining A and B in a (V, E) space. V=variance, E=expected return. e. If the standard deviation of the pf is 7% what proportions were invested in A and B?
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