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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Probability Theory | - Fundamental Probability Concepts
|
| Linear Algebra | - Matrix Methods
|
| Statistical Analysis | - Descriptive and Inferential Statistics
|
| Regression and Time Series Analysis | - Modeling Techniques
|
| Numerical Methods | - Quantitative Techniques
|
| Risk Measurement Applications | - Quantitative Risk Analysis
|
| Calculus | - Differential and Integral Calculus
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
The determinant of a matrix X is equal 2. Which of the following statements is true?
- A. det(2X) = 2 det(X)
- B. det(2X) = 4 det(X)
- C. det(2X) = det(X)2
- D. det(2X) =
Correct Answer: B 🗳️
The fundamental theorem of analysis establishes a relation between
- A. The derivative of a function and the slope of its graph
- B. First and second derivative of a function
- C. Integration and differentiation of functions
- D. The derivative of a function and the derivative of its inverse function
Correct Answer: C 🗳️
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. None of these
- B. 0.3
- C. 0.5
- D. 0.6
Correct Answer: D 🗳️
Consider a binomial lattice where a security price S moves up by a factor u with probability p, or down by a factor d with probability 1 - p. If we set d > 1/u then which of the following will be TRUE?
- A. The probability of an up move will not be constant
- B. The lattice will not recombine
- C. There will always be a downward drift in the lattice
- D. None of the above
Correct Answer: D 🗳️
Consider an investment fund with the following annual return rates over 8 years: +6%, -6%, +12%, -12%,
+3%, -3%, +9%, -9% .
What can you say about the annual geometric and arithmetic mean returns of this investment fund?
- A. The arithmetic mean return is negative and the geometric mean return is zero
- B. The arithmetic mean return is equal to the geometric mean return
- C. The arithmetic mean return is zero and the geometric mean return is negative
- D. None of the above
Correct Answer: C 🗳️
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