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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Numerical Methods & Financial Mathematics | 15% | - Time value of money - Root finding and approximation - Basics of risk modeling |
| Topic 2: Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
| Topic 3: Probability Theory | 25% | - Basic probability concepts
|
| Topic 4: Calculus and Functions | 20% | - Multivariable calculus
|
| Topic 5: Statistics and Regression Analysis | 20% | - Linear regression
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Exploring a regression model for values of the independent variable that have not been observed is most accurately described as...
- A. Hypothesis testing
- B. Regression
- C. Estimation
- D. Prediction
Correct Answer: D 🗳️
Which of the following can be used to evaluate a regression model?
(i) Magnitude of R2
(ii) Magnitude of TSS (total sum of squares)
(iii) Tests for statistical significance
(iv) Sign and magnitude of each regression parameter
- A. (i), (ii), (iii), and (iv)
- B. (i) and (iv)
- C. (i), (ii), and (iii)
- D. (i), (iii), and (iv)
Correct Answer: D 🗳️
Which of the provided answers solves this system of equations?
2y - 3x = 3y +x
y2 + x2 = 68
- A. x = 1; y = square root of 67
- B. x = 2; y = -8
- C. x = -2; y = -8
- D. x = 2; y = 8
Correct Answer: B 🗳️
Consider an investment fund with the following annual return rates over 8 years: +6%, -6%, +12%, -12%,
+3%, -3%, +9%, -9% .
What can you say about the annual geometric and arithmetic mean returns of this investment fund?
- A. None of the above
- B. The arithmetic mean return is negative and the geometric mean return is zero
- C. The arithmetic mean return is equal to the geometric mean return
- D. The arithmetic mean return is zero and the geometric mean return is negative
Correct Answer: D 🗳️
Maximum likelihood estimation is a method for:
- A. Estimating the implied volatility of a simple European option
- B. Solving a portfolio optimization problem
- C. Finding parameter estimates of a given density function
- D. Estimating the solution of a partial differential equation
Correct Answer: C 🗳️
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