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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Risk Measurement Techniques | - Volatility and correlation
|
| Topic 2: Simulation and Numerical Methods | - Monte Carlo simulation
|
| Topic 3: Probability and Statistics Foundations | - Random variables and probability distributions
|
| Topic 4: Stochastic Processes and Time Series | - Time series analysis
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
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 zero
- B. Changing all the correlations to be unity
- C. All of the above
- D. Changing the volatilities to be greater than 100%
Correct Answer: B 🗳️
The correlation between two asset returns is 1. What is the smallest eigenvalue of their correlation matrix?
- A. None of the above
- B. 0
- C. 1
- D. 0.5
Correct Answer: B 🗳️
What is the simplest form of this expression: log2(165/2)
- A. 10
- B. 5/2 + log2(16)
- C. log2 (5/2) + log2(16)
- D. 32
Correct Answer: A 🗳️
I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 50%. The volatility of my portfolio is
- A. 20%
- B. 24.4%
- C. 17.4%
- D. 16%
Correct Answer: C 🗳️
What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?
- A. (x + y) / (x+y)
- B. ln(x+y) x + ln(x+y) y
- C. -x/(x+y) - y/(x+y)
- D. 1 / (x+y)
Correct Answer: A 🗳️
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