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PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

1. What is the 40th term in the following series: 4, 14, 30, 52, ...?

A) 240
B) 4840
C) 4598
D) 4960

2. The correlation between two asset returns is 1. What is the smallest eigenvalue of their correlation matrix?

A) 0.5
B) 0
C) 1
D) None of the above

3. I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 50%. The volatility of my portfolio is

A) 20%
B) 17.4%
C) 24.4%
D) 16%

4. Which of the following statements is true for symmetric positive definite matrices?

A) Its eigenvalues are all positive
B) If a is its eigenvalue, then is also its eigenvalue
C) If a is its eigenvalue, then -a is also its eigenvalue
D) One of its eigenvalues equals 0

5. Suppose I trade an option and I wish to hedge that option for delta and vega. Another option is available to trade. To complete the hedge I would

A) trade the underlying in such a way as to make the portfolio delta and vega neutral.
B) trade the underlying in such a way as to make the portfolio delta neutral, and then trade the other option in such a way as to make the portfolio vega neutral.
C) trade the other option in such a way as to make the portfolio vega neutral, and then trade the underlying in such a way as to make the portfolio delta neutral.
D) trade the other option in such a way as to make the portfolio delta and vega neutral.

Solutions: