Actuarial Notes

CAS Exam 9 Spring 2015, Question 1

Study guide: Exam 9

Given the information below describing a three-security financial market, one rational investor's complete portfolio and investors' utility:

Security Expected Return Standard Deviation Portfolio Allocation
X 4% 0% 43%
Y 10% 20% 30%
Z 15% 30% 27%
  • Investors assign utility to their portfolios by the formula: U = E(r) - \frac{1}{2}A\sigma^2.

Part a (0.5 points)

Describe the interpretation of the risk aversion index when A < 0.

Part b (0.75 points)

Calculate the correlation coefficient of the returns of securities Y and Z.

Part c (1 point)

Calculate the value of A for the investor.

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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