Actuarial Notes

CAS Exam 9 Spring 2015, Question 3

Study guide: Exam 9

Given the following information:

Stock Capitalization ($) Alpha Beta Expected Return Standard Deviation
A 2500 1.0% 0.9 7.3% 30%
B 4700 0.0% 0.3 2.1% 10%
C 2800 -0.5% 1.7 11.4% 40%
  • An index of stocks A, B and C is used as the market index for a single-index model.
  • The standard deviation of the market index portfolio is 20%.

Part a (0.25 points)

Calculate the covariance between stock A and the index portfolio.

Part b (0.25 points)

Calculate the covariance between stock A and stock B.

Part c (0.5 points)

Calculate the systematic and firm-specific components of the variance of stock C.

Part d (0.5 points)

Assume 100 stocks are added to this financial market. Briefly describe two disadvantages of using the Markowitz model rather than the single-index model in this case.

No current syllabus covers this question; it is kept for the record.

Answer this question and see the worked solution

Concepts tested

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