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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Risk Measurement Techniques | - Value at Risk (VaR)
|
| Probability and Statistics Foundations | - Statistical inference
|
| 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:
1. Every covariance matrix must be positive semi-definite. If it were not then:
A) It could not be used to simulate correlated asset paths
B) Some portfolios could have a negative variance
C) All the above statements are true
D) The associated correlation matrix would not be positive semi-definite
2. A 95% confidence interval for a parameter estimate can be interpreted as follows:
A) The probability that the real value of the parameter is within this interval is 95%.
B) The probability that the real value of the parameter is outside this interval is 95%.
C) The probability that the estimated value of the parameter is within this interval is 95%.
D) The probability that the estimated value of the parameter is outside this interval is 95%.
3. For each of the following functions, indicate whether its graph is concave or convex:
Y = 7x2 + 3x + 9
Y = 6 ln(3x)
Y = exp(-4x)
A) convex, convex, concave
B) concave, convex, convex
C) convex, concave, concave
D) concave, concave, concave
4. If A and B are two events with P(A) = 1/4, P(B) = 1/3 and P(A intersection B) =1/5, what is P(Bc | Ac) i.e. the probability of the complement of B when the complement of A is given?
A) 12/29
B) None of these
C) 3/4
D) 37/45
5. What is the 40th term in the following series: 4, 14, 30, 52, ...?
A) 4960
B) 4840
C) 240
D) 4598
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: A | Question # 3 Answer: C | Question # 4 Answer: D | Question # 5 Answer: B |
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