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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Stochastic Processes and Time Series | - Stochastic processes basics
|
| Topic 2: Simulation and Numerical Methods | - Monte Carlo simulation
|
| Topic 3: Probability and Statistics Foundations | - Statistical inference
|
| Topic 4: Risk Measurement Techniques | - Value at Risk (VaR)
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Consider the following distribution data for a random variable X: What is the mean and variance of X?
- A. 3.5 and 3.45
- B. 3.4 and 3.84
- C. 3.6 and 7.15
- D. None of these
Correct Answer: D 🗳️
Which of the following is consistent with the definition of a Type I error?
- A. A Type I occurs whenever data series are serially correlated
- B. A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of positive correlation was rejected
- C. The probability of a Type I error is 100% minus the significance level
- D. A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of no correlation was rejected
Correct Answer: B 🗳️
You are given the following values of a quadratic function f(x): f(0)=0, f(1)=-2, f(2)=-5. On the basis of these data, the derivative f'(0) is ...
- A. in the interval ]-2,+[
- B. equal to -2
- C. in the interval ]-,-2.5]
- D. in the interval ]-2.5,-2[
Correct Answer: A 🗳️
Evaluate the derivative of ln(1+ x2) at the point x = 1
- A. 1
- B. 0.5
- C. 2
- D. 0
Correct Answer: A 🗳️
Exploring a regression model for values of the independent variable that have not been observed is most accurately described as...
- A. Prediction
- B. Regression
- C. Estimation
- D. Hypothesis testing
Correct Answer: A 🗳️
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