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

1. You are investigating the relationship between weather and stock market performance. To do this, you pick
100 stock market locations all over the world. For each location, you collect yesterday's mean temperature and humidity and yesterday's local index return. Performing a regression analysis on this data is an example of...

A) Simple cross-section regression
B) Simple time-series regression
C) Multiple cross-section regression
D) Multiple time-series regression

2. For the function f(x) =3x-x3 which of the following is true?

A) x = 0 is a minimum
B) None of these
C) x = 2 is a maximum
D) x = -3 is a maximum

3. 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 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.
B) trade the other option in such a way as to make the portfolio delta and vega neutral.
C) 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.
D) trade the underlying in such a way as to make the portfolio delta and vega neutral.

4. You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.

A) a lump-sum payment of $22 500 on maturity (in five years)
B) a quarterly-compounded rate of 4.1%
C) a continuously-compounded rate of 4%
D) an annually compounded rate of 4.15%

5. What is a Hessian?

A) Correlation matrix of market indices
B) A matrix of second derivatives of a function
C) The point at which a minimum of a multidimensional function is achieved
D) The vector of partial derivatives of a contingent claim

Solutions: