Consider the following information in Figure 1 below for a portfolio including security A and security B:              Figure 1 State of the economy Probability of state of economy Return on A (%) Return on B (%) Boom 0.2 15 5 Growth 0.2 -5 0 Normal 0.5 10 10 Recession 0.1 5 20   If you want to include one more security C into the above portfolio. (e.g., a new portfolio including securities A, B, and C), what is the new portfolio variance if you invest 40% of C and 60% of the old portfolio including A and B (50% weights for A and B)?  Assume the standard deviation of C is 10%, and correlation coefficient between the old portfolio and C is 0.8.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Consider the following information in Figure 1 below for a portfolio including security A and security B:

 

           Figure 1

State of the economy

Probability of state of economy

Return on A (%)

Return on B (%)

Boom

0.2

15

5

Growth

0.2

-5

0

Normal

0.5

10

10

Recession

0.1

5

20

 

If you want to include one more security C into the above portfolio. (e.g., a new portfolio including securities A, B, and C), what is the new portfolio variance if you invest 40% of C and 60% of the old portfolio including A and B (50% weights for A and B)?  Assume the standard deviation of C is 10%, and correlation coefficient between the old portfolio and C is 0.8.

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