two variances and Cov (r1, r2). If assets 1 and 2 are combined 50-50 into a portfolio, what is the variance of this portfolio

Intermediate Financial Management (MindTap Course List)
13th Edition
ISBN:9781337395083
Author:Eugene F. Brigham, Phillip R. Daves
Publisher:Eugene F. Brigham, Phillip R. Daves
Chapter3: Risk And Return: Part Ii
Section: Chapter Questions
Problem 2P: APT An analyst has modeled the stock of Crisp Trucking using a two-factor APT model. The risk-free...
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Below are the returns for two assets;

 

 

 

State of nature

r1

r2

probability

Weak growth

15%

15%

1/3

 

Strong growth

 

30%

 

12

 

1/3

 

Very strong growth

 

45%

 

9

 

1/3

 

Expected returns

 

30%

 

12

 

total    1.0

 

 

Calculate the two variances and Cov (r1, r2). If assets 1 and 2 are combined 50-50 into a portfolio, what is the variance of this portfolio? Show your calculations.

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