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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Calculus | - Differential and Integral Calculus
|
| Risk Measurement Applications | - Quantitative Risk Analysis
|
| Regression and Time Series Analysis | - Modeling Techniques
|
| Probability Theory | - Fundamental Probability Concepts
|
| Numerical Methods | - Quantitative Techniques
|
| Linear Algebra | - Matrix Methods
|
| Statistical Analysis | - Descriptive and Inferential Statistics
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
If a random variable X has a normal distribution with mean zero and variance 4, approximately what proportion of realizations of X should lie between -4 and +4?
- A. 95%
- B. 99%
- C. 90%
- D. 66.60%
When calculating the implied volatility from an option price we use the bisection method and know initially that the volatility is somewhere between 1% and 100%. How many iterations do we need in order to determine the implied volatility with accuracy of 0.1%?
- A. 25
- B. 10
- C. 5
- D. 100
Assume that 40% of all financial organizations investigated by authorities turn out to be fraudulent.
What is the probability of randomly investigating 2 different organizations and finding that neither is fraudulent; and what is the probability of finding exactly one being fraudulent?
- A. 1/3 and 8/17
- B. 2/5 and 1/2
- C. 2/5 and 3/5
- D. 9/25 and 12/25
Suppose that f(x) and g(x,y) are functions. What is the partial derivative of f(g(x,y)) with respect to y?
- A. f(g(x,y)) dg/dy
- B. f(dg/dy)
- C. f'(g(x,y)) dg/dy
- D. f'(g(x,y))
In a binomial tree lattice, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of . The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. The risk neutral probability for an up move is:
- A. 0.5290
- B. 0.5286
- C. 0.5288
- D. 0.5292
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