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PRMIA 8007 exam : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
- Exam Code: 8007
- Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
- Updated: Sep 06, 2026
- Q & A: 133 Questions and Answers
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Are you curious about 8007 exam dumps? Do you want to have a better understanding of 8007 exam training material? Please pay attention to the following.
PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Risk Measurement Techniques | - Value at Risk (VaR)
|
| Probability and Statistics Foundations | - Random variables and probability distributions
|
| Simulation and Numerical Methods | - Monte Carlo simulation
|
| Stochastic Processes and Time Series | - Time series analysis
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Question #1
There are two portfolios with no overlapping of stocks or bonds. Portfolio 1 has 6 stocks and 6 bonds.
Portfolio 2 has 4 stocks and 8 bonds. If we randomly select one stock, what is the probability that it came from Portfolio1?
- A. 0.5
- B. 0.6
- C. 0.3
- D. None of these
Answer: B
Question #2
A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?
- A. 1.125
- B. 0.75
- C. 0.3333
- D. 0.375
Answer: D
Question #3
Stress testing portfolios requires changing the asset volatilities and correlations to extreme values. Which of the following would lead to a non positive definite covariance matrix?
- A. Changing all the correlations to be unity
- B. Changing all the correlations to be zero
- C. All of the above
- D. Changing the volatilities to be greater than 100%
Answer: A
Question #4
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 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.
Answer: A
Question #5
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)) = 1
- C. E(exp(X)) = 0.6065
- D. E(exp(X)) = 2.7183
Answer: A
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