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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Risk Measurement Techniques | - Volatility and correlation
|
| Simulation and Numerical Methods | - Monte Carlo simulation
|
| Stochastic Processes and Time Series | - Time series analysis
|
| Probability and Statistics Foundations | - Statistical inference
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. What is the maximum value for f(x)= 8-(x+3)(x-3)?
A) -1
B) 17
C) 8
D) None of these
2. What can be said about observations of random variables that are i.i.d. a normally distributed?
A) The estimated mean divided by the estimated variance has a Chi2-distribution
B) The estimated mean divided by the estimated variance has a t-distribution
C) The estimated mean divided by the estimated standard deviation has a Chi2-distribution
D) The estimated mean divided by the estimated standard deviation has a t-distribution
3. The gradient of a smooth function is
A) a matrix containing the function's second partial derivatives
B) infinite at a maximum point
C) matrix of second partial derivatives of a function
D) a vector that shows the direction of fastest change of a function
4. What is the 40th term in the following series: 4, 14, 30, 52, ...?
A) 240
B) 4960
C) 4840
D) 4598
5. 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) 0.3
C) 0.6
D) None of these
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: D | Question # 3 Answer: D | Question # 4 Answer: C | Question # 5 Answer: C |
