Finding expected mean variances and standard


Consider the following ex ante (expected) distributions for assets 1 and 2: marginal distributions

Asset 1

 

 

Asset 2

 

 

m

R1m

f(R1m)

l

            R2l

f(R2l)

1

12%

0.45

1

4%

0.09

2         

6%

0.55

2

8%

0.17

 

 

 

3         

10%

0.35

 

 

 

4         

14%

0.39

joint distribution (for above outcomes of return)

m

L

f(R1m, R2l)

1                                 

1

0.01

1                                 

2

0.03

1

3

0.17

1

4

0.24

2                                 

1

0.08

2                                 

2

0.14

2                     

3

0.18

2

4

0.15

Question

Using the ex ante data given on the preceding page, calculate the following:

A. The expected (mean) returns (E[Ri]) for assets 1 and 2

B. The variances (total risk) of return (si2) for assets 1 and 2

C. The standard deviations (total risk) of return (si) for assets 1 and 2

D. The covariance of return (sij) between assets 1 and 2

E. The correlation coefficient of return (rij) between assets 1 and 2

 

Additional Information

This kinds of question lies from Statistics and it is about finding expected mean, variances, standard deviation and correlation coefficient between two assets and their returns.

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Basic Statistics: Finding expected mean variances and standard
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