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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Probability Theory | 25% | - Basic probability concepts
|
| Linear Algebra and Matrix Theory | 20% | - Vectors and eigenvalues
|
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Calculus and Functions | 20% | - Single-variable calculus
|
| Numerical Methods & Financial Mathematics | 15% | - Basics of risk modeling - Root finding and approximation - Time value of money |
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Which of the following properties is exhibited by multiplication, but not by addition?
- A. commutativity
- B. invertibility
- C. distributivity
- D. associativity
The gradient of a function f(x, y, z) = x + y2 - x y z at the point x = y = z = 1 is
- A. (0, 1, -1)
- B. (1, 1, 1)
- C. (0, 0, 0)
- D. (0, 2, 1)
On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?
- A. 0.095
- B. 0.100
- C. 0.905
- D. 0.95
Let A be a square matrix and denote its determinant by x. Then the determinant of A transposed is:
- A. x
- B. -x
- C. ln(x)
- D. x -1
The natural logarithm of x is:
- A. always greater than x, for x>0
- B. 46
- C. log(e)
- D. the inverse function of exp(x)
