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

1. Consider the following distribution data for a random variable X: What is the mean and variance of X?

A) 3.4 and 3.84
B) None of these
C) 3.5 and 3.45
D) 3.6 and 7.15

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

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

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

4. The gradient of a function f(x, y, z) = x + y2 - x y z at the point x = y = z = 1 is

A) (1, 1, 1)
B) (0, 0, 0)
C) (0, 1, -1)
D) (0, 2, 1)

5. Which of the following statements is not correct?

A) Every linear function is also a quadratic function.
B) For finite and small domains, the action of a function may be specified by a list.
C) A function is defined by its domain together with its action.
D) A function is a rule that assigns to every value x at least one value of y.

Solutions: