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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Probability and Statistics Foundations | - Statistical inference
|
| Simulation and Numerical Methods | - Monte Carlo simulation
|
| Risk Measurement Techniques | - Value at Risk (VaR)
|
| Stochastic Processes and Time Series | - Stochastic processes basics
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?
A) -x/(x+y) - y/(x+y)
B) ln(x+y) x + ln(x+y) y
C) (x + y) / (x+y)
D) 1 / (x+y)
2. Which of the following is not a sequence?
A) , , , ... , , ...
B) , , , , , , ...
C) , , , , ...
D) 30
3. Let E(X ) = 1, E(Y ) = 3, Corr(X, Y ) = -0.2, E(X2 ) = 10 and E(Y2 ) = 13. Find the covariance between X and Y
A) 1.3
B) -1.2
C) None of the above
D) -2.8
4. Which of the following statements about skewness of an empirical probability distribution are correct?
1. When sampling returns from a time series of asset prices, discretely compounded returns exhibit higher skewness than continuously compounded returns
2. When the mean is significantly less than the median, this is an indication of negative skewness
3. Skewness is a sign of asymmetry in the dispersion of the data
A) Statements 1 and 2 are correct
B) Statements 2 and 3 are correct
C) Statements 1 and 3 are correct
D) All three statements are correct
5. Exploring a regression model for values of the independent variable that have not been observed is most accurately described as...
A) Hypothesis testing
B) Estimation
C) Regression
D) Prediction
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: D | Question # 3 Answer: B | Question # 4 Answer: D | Question # 5 Answer: D |
