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PRMIA 8007 Exam Syllabus Topics:

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

1. 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 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 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.

2. Assume that 40% of all financial organizations investigated by authorities turn out to be fraudulent.
What is the probability of randomly investigating 2 different organizations and finding that neither is fraudulent; and what is the probability of finding exactly one being fraudulent?

A) 2/5 and 3/5
B) 1/3 and 8/17
C) 2/5 and 1/2
D) 9/25 and 12/25

3. Two vectors are orthogonal when:

A) their components are linearly dependent
B) their determinant is zero
C) one is a scalar multiple of the other
D) their scalar product (sum product) is zero

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

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

5. At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?

A) 2.66667
B) 2
C) -0.666666667
D) 0

Solutions: