Actuarial Notes

CAS Exam 9 Spring 2015, Question 4

Study guide: Exam 9

Given the following information:

  • The variance-covariance matrix:
Stock A Stock B Market Portfolio
Stock A 0.16
Stock B -0.48 1.44
Market Portfolio -0.0108 0.252 0.09
  • Stock A and Stock B are perfectly negatively correlated.
  • The risk-free rate is 3%.
  • The market portfolio has an expected return of 8%.
  • Portfolio P consists of:
    • 75% invested in Stock A.
    • 25% invested in Stock B.

Part a (1.5 points)

Using CAPM, calculate the expected return of Portfolio P.

Part b (1.25 points)

Construct an arbitrage strategy using the risk-free rate and some combination of Stock A and Stock B.

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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