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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Stochastic Processes and Time Series | - Time series analysis
|
| Probability and Statistics Foundations | - Random variables and probability distributions
|
| Risk Measurement Techniques | - Value at Risk (VaR)
|
| Simulation and Numerical Methods | - Monte Carlo simulation
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Calculate the determinant of the following matrix:
- A. 4.25
- B. -4.25
- C. 2
- D. 4
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. None of the above
- B. There will always be a downward drift in the lattice
- C. The lattice will not recombine
- D. The probability of an up move will not be constant
Newton-Raphson iteration is used to find a solution of x5 - x3 + x = 1. If xn = 2, what is xn+1?
- A. 1.623
- B. 2.362
- C. 0.377
- D. 1.638
Two vectors are orthogonal when:
- A. their scalar product (sum product) is zero
- B. their components are linearly dependent
- C. their determinant is zero
- D. one is a scalar multiple of the other
Let f(x) = c for x in [0,4] and 0 for other values of x.
What is the value of the constant c that makes f(x) a probability density function; and what if f(x) = cx for x in
[0,4]?
- A. 1/7 and 1/9
- B. 1/4 and 1/7
- C. 1/4 and 1/6
- D. None of the above
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