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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Probability Theory | 25% | - Basic probability concepts
|
| Calculus and Functions | 20% | - Single-variable calculus
|
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
| Numerical Methods & Financial Mathematics | 15% | - Root finding and approximation - Time value of money - Basics of risk modeling |
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Question 1
The first derivative of a function f(x) is zero at some point, the second derivative is also zero at this point. This means that:
A. f has necessarily a maximum at this point
B. f has necessarily neither a minimum nor a maximum at this point
C. f might have either a minimum or a maximum or neither of them at this point
D. f has necessarily a minimum at this point
Question 2
Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...
A. Many dependent variables, many independent variables, many error variables
B. One dependent variable, one independent variable, many error variables
C. One dependent variable, many independent variables, one error variable
D. Many dependent variables, one independent variable, one error variable
Question 3
On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?
A. 0.95
B. 0.095
C. 0.100
D. 0.905
Question 4
Which of the following properties is exhibited by multiplication, but not by addition?
A. commutativity
B. distributivity
C. invertibility
D. associativity
Question 5
A 95% confidence interval for a parameter estimate can be interpreted as follows:
A. The probability that the real value of the parameter is outside this interval is 95%.
B. The probability that the estimated value of the parameter is outside this interval is 95%.
C. The probability that the estimated value of the parameter is within this interval is 95%.
D. The probability that the real value of the parameter is within this interval is 95%.
Solutions:
| Question 1 Answer: C | Question 2 Answer: C | Question 3 Answer: D | Question 4 Answer: B | Question 5 Answer: D |




