What is the total risk of jeans portfolio


Question:

Consider two securities, A and B, with standard deviations of 30% and 40%, respectively. Calculate the standard deviation of a portfolio weighted equally between the two securities if their correlation is:

  1.  0.9
  2.  0.0
  3. -0.9

Jean Smith owns a portfolio composed of three securities with the following characteristics:

Security

Beta

Standard Deviation Random Error Term

Proportion

A

1.20

5%

0.30

B

1.05

8%

0.50

C

0.90

2%

0.20


If the standard deviation of the market index is 18%, what is the total risk of Jean’s portfolio?

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