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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
| Probability Theory | 25% | - Random variables and distributions
|
| Statistics and Regression Analysis | 20% | - Descriptive statistics
|
| Calculus and Functions | 20% | - Single-variable calculus
|
| Numerical Methods & Financial Mathematics | 15% | - Root finding and approximation - Basics of risk modeling - Time value of money |
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
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. The arithmetic mean return is equal to the geometric mean return
- B. The arithmetic mean return is negative and the geometric mean return is zero
- C. The arithmetic mean return is zero and the geometric mean return is negative
- D. None of the above
Correct Answer: C 🗳️
In a multiple linear regression, the significance of R2 can be tested using which distribution?
- A. Student's t distribution
- B. Binomial distribution
- C. F-distribution
- D. Normal distribution
Correct Answer: C 🗳️
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
Correct Answer: C 🗳️
Consider the following distribution data for a random variable X: What is the mean and variance of X?
- A. None of these
- B. 3.6 and 7.15
- C. 3.4 and 3.84
- D. 3.5 and 3.45
Correct Answer: A 🗳️
An indefinite integral of a polynomial function is
- A. always less than the function itself
- B. always positive
- C. none of the above
- D. always increasing
Correct Answer: C 🗳️
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