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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Probability and Statistics Foundations | - Random variables and probability distributions
|
| Topic 2: Risk Measurement Techniques | - Volatility and correlation
|
| Topic 3: Simulation and Numerical Methods | - Monte Carlo simulation
|
| Topic 4: Stochastic Processes and Time Series | - Stochastic processes basics
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
The determinant of a matrix X is equal 2. Which of the following statements is true?
- A. det(2X) = 4 det(X)
- B. det(2X) = det(X)2
- C. det(2X) =
- D. det(2X) = 2 det(X)
Correct Answer: A 🗳️
A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Modified Duration of the bond?
- A. 2
- B. 1.95
- C. 1.75
- D. 1.86
Correct Answer: D 🗳️
Every covariance matrix must be positive semi-definite. If it were not then:
- A. The associated correlation matrix would not be positive semi-definite
- B. All the above statements are true
- C. It could not be used to simulate correlated asset paths
- D. Some portfolios could have a negative variance
Correct Answer: B 🗳️
Bond convexity is closely related to ...
- A. The integral of the bond's present value with respect to yield
- B. The derivative of the bond's present value with respect to yield
- C. The second derivative of the bond's present value with respect to yield
- D. The sensitivity of the bond's present value with respect to yield
Correct Answer: C 🗳️
A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution
- A. flat and thick at the center and with thin tails
- B. peaked and thin at the center and with heavy (fat) tails
- C. peaked and thin at the center and with thin tails
- D. flat and thick at the center and with heavy (fat) tails
Correct Answer: B 🗳️
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