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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Risk Measurement Applications | - Quantitative Risk Analysis
|
| Linear Algebra | - Matrix Methods
|
| Probability Theory | - Fundamental Probability Concepts
|
| Calculus | - Differential and Integral Calculus
|
| Numerical Methods | - Quantitative Techniques
|
| Statistical Analysis | - Descriptive and Inferential Statistics
|
| Regression and Time Series Analysis | - Modeling Techniques
|
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. None of the above
- B. The arithmetic mean return is equal to the geometric mean return
- C. The arithmetic mean return is negative and the geometric mean return is zero
- D. The arithmetic mean return is zero and the geometric mean return is negative
Correct Answer: D 🗳️
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
Correct Answer: C 🗳️
Which of the following statements is true?
- A. Discrete and continuous compounding produce the same results if the discount rate is positive.
- B. Continuous compounding can be thought as making the compounding period infinitesimally small.
- C. The constant plays an important role in the mathematical description of continuous compounding.
- D. Continuous compounding is the better method because it results in higher present values compared to discrete compounding.
Correct Answer: B 🗳️
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 a minimum at this point
- C. f might have either a minimum or a maximum or neither of them at this point
- D. f has necessarily neither a minimum nor a maximum at this point
Correct Answer: C 🗳️
A 95% confidence interval for a parameter estimate can be interpreted as follows:
- A. The probability that the estimated value of the parameter is outside this interval is 95%.
- B. The probability that the real value of the parameter is within 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 outside this interval is 95%.
Correct Answer: B 🗳️
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