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PRMIA 8007 Exam Syllabus Topics:

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

1. Calculate the determinant of the following matrix:

A) 4.25
B) 2
C) -4.25
D) 4

2. Which of the following statements concerning class intervals used for grouping of data is correct?
When grouping data, attention must be paid to the following with regards to class intervals:
1. Class intervals should not overlap
2. Class intervals should be of equal size unless there is a specific need to highlight data within a specific subgroup
3. The class intervals should be large enough so that they not obscure interesting variation within the group

A) All three statements are correct
B) Statements 1 and 2 are correct
C) Statements 1 and 3 are correct
D) Statements 2 and 3 are correct

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 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 underlying in such a way as to make the portfolio delta and vega neutral.
D) 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.

4. Let X be a random variable distributed normally with mean 0 and standard deviation 1. What is the expected value of exp(X)?

A) E(exp(X)) = 1.6487
B) E(exp(X)) = 0.6065
C) E(exp(X)) = 1
D) E(exp(X)) = 2.7183

5. A 95% confidence interval for a parameter estimate can be interpreted as follows:

A) The probability that the estimated value of the parameter is outside this interval is 95%.
B) The probability that the real value of the parameter is within this interval is 95%.
C) The probability that the estimated value of the parameter is within this interval is 95%.
D) The probability that the real value of the parameter is outside this interval is 95%.

Solutions: