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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Probability and Statistics Foundations | - Statistical inference
|
| Topic 2: Risk Measurement Techniques | - Volatility and correlation
|
| Topic 3: Stochastic Processes and Time Series | - Stochastic processes basics
|
| Topic 4: Simulation and Numerical Methods | - Monte Carlo simulation
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Which of the following can be used to evaluate a regression model?
(i) Magnitude of R2
(ii) Magnitude of TSS (total sum of squares)
(iii) Tests for statistical significance
(iv) Sign and magnitude of each regression parameter
- A. (i), (ii), and (iii)
- B. (i), (iii), and (iv)
- C. (i), (ii), (iii), and (iv)
- D. (i) and (iv)
Let N(.) denote the cumulative distribution function and suppose that X and Y are standard normally distributed and uncorrelated. Using the fact that N(1.96)=0.975, the probability that X 0 and Y 1.96 is approximately
- A. 0.25%
- B. 0.49%
- C. 0.488%
- D. 0.495%
What is the angle between the following two three dimensional vectors: a=(1,2,3), b=(-4,2,0)?
- A. 57 degrees
- B. 45 degrees
- C. 90 degrees
- D. 180 degrees
Suppose we perform a principle component analysis of the correlation matrix of the returns of 13 yields along the yield curve. The largest eigenvalue of the correlation matrix is 9.8. What percentage of return volatility is explained by the first component? (You may use the fact that the sum of the diagonal elements of a square matrix is always equal to the sum of its eigenvalues.)
- A. 98%
- B. Cannot be determined without estimates of the volatilities of the individual returns
- C. 64%
- D. 75%
Which of the following properties is exhibited by multiplication, but not by addition?
- A. invertibility
- B. associativity
- C. distributivity
- D. commutativity
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