What is the factor risk of the portfolio


On the basis of a one factor model, consider a portfolio of two securities with the following characteristics:

Security   Factor Sensitivity   Nonfactor risk    proportion

A                    .20                      49                  .40
B                    3.50                   100                 .60

Question 1: If the standard deviation of the factor is 15%, what is the factor risk of the portfolio?

Question 2: What is the nonfactor risk of the portfolio?

Question 3: What is the portfolio's standand deviation?

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