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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Simulation and Numerical Methods | - Monte Carlo simulation
|
| Risk Measurement Techniques | - Volatility and correlation
|
| Probability and Statistics Foundations | - Random variables and probability distributions
|
| Stochastic Processes and Time Series | - Time series analysis
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 50%. The volatility of my portfolio is
- A. 20%
- B. 24.4%
- C. 16%
- D. 17.4%
Let A be a square matrix and denote its determinant by x. Then the determinant of A transposed is:
- A. x -1
- B. x
- C. -x
- D. ln(x)
Consider two functions f(x) and g(x) with indefinite integrals F(x) and G(x), respectively. The indefinite integral of the product f(x)g(x) is given by
- A. F(x)G(x)
- B. F(x)g(x) - F(x)g'(x)dx
- C. F(x)g(x) + f(x)G(x)
- D. f(x)G(x) - F(x)g'(x)dx
When the errors in a linear regression show signs of positive autocorrelation, which of the statements below is true?
- A. The regression coefficient will be unbiased, but the standard error of the regression coefficient will be overstated
- B. The regression coefficient will be too low and the standard error of the regression coefficient will be overstated
- C. The regression coefficient will be unbiased, but the standard error of the regression coefficient will be understated
- D. The regression coefficient will be too high and the standard error of the regression coefficient will be understated
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%.
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