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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Linear Algebra | - Matrix Methods
|
| Topic 2: Probability Theory | - Fundamental Probability Concepts
|
| Topic 3: Calculus | - Differential and Integral Calculus
|
| Topic 4: Statistical Analysis | - Descriptive and Inferential Statistics
|
| Topic 5: Numerical Methods | - Quantitative Techniques
|
| Topic 6: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 7: Regression and Time Series Analysis | - Modeling Techniques
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution
A) peaked and thin at the center and with heavy (fat) tails
B) flat and thick at the center and with thin tails
C) flat and thick at the center and with heavy (fat) tails
D) peaked and thin at the center and with thin tails
2. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
Which of the following is an approximate 95% confidence interval for the true value of the coefficient of ?
A) [1, 2]
B) None of the above
C) [0, 3]
D) [0, 1.5]
3. 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) None of these
B) 37/45
C) 3/4
D) 12/29
4. The correlation between two asset returns is 1. What is the smallest eigenvalue of their correlation matrix?
A) 0
B) None of the above
C) 0.5
D) 1
5. Which of the following can induce a 'multicollinearity' problem in a regression model?
A) A large negative correlation between the dependent variable and one of the explanatory variables
B) The omission of a relevant explanatory variable
C) A high positive correlation between the dependent variable and one of the explanatory variables
D) A high positive correlation between two explanatory variables
Solutions:
| Question # 1 Answer: A | Question # 2 Answer: C | Question # 3 Answer: B | Question # 4 Answer: A | Question # 5 Answer: D |
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