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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Numerical Methods & Financial Mathematics | 15% | - Basics of risk modeling - Root finding and approximation - Time value of money |
| Probability Theory | 25% | - Random variables and distributions
|
| Calculus and Functions | 20% | - Single-variable calculus
|
| Statistics and Regression Analysis | 20% | - Descriptive statistics
|
| Linear Algebra and Matrix Theory | 20% | - Vectors and eigenvalues
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?
- A. 2
- B. -0.666666667
- C. 2.66667
- D. 0
I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 50%. The volatility of my portfolio is
- A. 17.4%
- B. 24.4%
- C. 16%
- D. 20%
The correlation between two asset returns is 1. What is the smallest eigenvalue of their correlation matrix?
- A. 0.5
- B. 0
- C. None of the above
- D. 1
The bisection method can be used for solving f(x)=0 for a unique solution of x, when
- A. The function f(x) is differentiable and we have an explicit expression for the derivative
- B. The function f(x) is continuous
- C. The function f(x) is differentiable
- D. The function f(x) is continuous and monotonic
Consider the following distribution data for a random variable X: What is the mean and variance of X?
- A. 3.4 and 3.84
- B. 3.6 and 7.15
- C. None of these
- D. 3.5 and 3.45
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