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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Linear Algebra | - Matrix Methods
|
| Statistical Analysis | - Descriptive and Inferential Statistics
|
| Risk Measurement Applications | - Quantitative Risk Analysis
|
| Calculus | - Differential and Integral Calculus
|
| Numerical Methods | - Quantitative Techniques
|
| Regression and Time Series Analysis | - Modeling Techniques
|
| Probability Theory | - Fundamental Probability Concepts
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
In a multiple linear regression, the significance of R2 can be tested using which distribution?
- A. Normal distribution
- B. F-distribution
- C. Student's t distribution
- D. Binomial distribution
Suppose a discrete random variable can take on the values -1, 0 and 1 each with a probability of 1/3. Then the mean and variance of the variable is
- A. mean is 0, variance is 2/3
- B. mean is 0, variance is 1/2
- C. mean is 0, variance is 1/3
- D. mean is 1/3, variance is 1/3
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. 37/45
- B. 3/4
- C. None of these
- D. 12/29
You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.
- A. a continuously-compounded rate of 4%
- B. a quarterly-compounded rate of 4.1%
- C. a lump-sum payment of $22 500 on maturity (in five years)
- D. an annually compounded rate of 4.15%
The correlation between two asset returns is 1. What is the smallest eigenvalue of their correlation matrix?
- A. 1
- B. None of the above
- C. 0.5
- D. 0
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