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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Numerical Methods | - Quantitative Techniques
|
| Calculus | - Differential and Integral Calculus
|
| Regression and Time Series Analysis | - Modeling Techniques
|
| Probability Theory | - Fundamental Probability Concepts
|
| Statistical Analysis | - Descriptive and Inferential Statistics
|
| Linear Algebra | - Matrix Methods
|
| Risk Measurement Applications | - Quantitative Risk Analysis
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
You are given the following values of a quadratic function f(x): f(0)=0, f(1)=-2, f(2)=-5. On the basis of these data, the derivative f'(0) is ...
- A. equal to -2
- B. in the interval ]-2,+[
- C. in the interval ]-2.5,-2[
- D. in the interval ]-,-2.5]
On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?
- A. 0.100
- B. 0.905
- C. 0.95
- D. 0.095
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. 5
- C. 100
- D. 10
A quadratic form is
- A. a specific solution of the Black-Scholes pricing formula
- B. defined as a positive definite Hessian matrix.
- C. an algebraic expression in two variables, x and y, involving , , and terms.
- D. an algebraic expression in two variables, x and y, involving , and terms.
Which of the following statements about variance and standard deviation are correct?
1. When calculated based on a sample of the population data, one has to correct for any bias in the result by using the number of degrees of freedom in the calculation
2. Variance is in square root units of the underlying data, whereas standard deviation is in units of the underlying data
3. When considering independent variables, variance is additive, while standard deviation is not
- A. All three statements are correct
- B. Statements 1 and 3 are correct
- C. Statements 2 and 3 are correct
- D. Statements 1 and 2 are correct
