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

1. For a quadratic equation, which of the following is FALSE?

A) If the discriminant is positive there are two different real solutions
B) If the discriminant is negative there are two different real solutions
C) If the discriminant is negative, there are no real solutions
D) If the discriminant is zero, there is only one solution

2. Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?

A) the CDF approaches 1 as its argument approaches infinity.
B) the PDF is non-negative.
C) the definite integral of the PDF from minus infinity to plus infinity is zero.
D) the definite integral of the CDF from minus infinity to plus infinity is undefined.

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

4. Let X be a random variable normally distributed with zero mean and let . Then the correlation between X and Y is:

A) negative
B) zero
C) positive
D) not defined

5. What is the maximum value for f(x)= 8-(x+3)(x-3)?

A) 17
B) None of these
C) 8
D) -1

Solutions: