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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Simulation and Numerical Methods | - Monte Carlo simulation
|
| Risk Measurement Techniques | - Value at Risk (VaR)
|
| Stochastic Processes and Time Series | - Stochastic processes basics
|
| Probability and Statistics Foundations | - Random variables and probability distributions
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Two vectors are orthogonal when:
- A. their components are linearly dependent
- B. their scalar product (sum product) is zero
- C. their determinant is zero
- D. one is a scalar multiple of the other
A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?
- A. 0.75
- B. 1.125
- C. 0.3333
- D. 0.375
A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Modified Duration of the bond?
- A. 1.75
- B. 2
- C. 1.95
- D. 1.86
Assume that 40% of all financial organizations investigated by authorities turn out to be fraudulent.
What is the probability of randomly investigating 2 different organizations and finding that neither is fraudulent; and what is the probability of finding exactly one being fraudulent?
- A. 9/25 and 12/25
- B. 1/3 and 8/17
- C. 2/5 and 3/5
- D. 2/5 and 1/2
Solve the simultaneous linear equations: x + 2y - 2 = 0 and y - 3x = 8
- A. x = 1, y = 0.5
- B. x = -2, y = 2
- C. x = 2, y = 0
- D. None of the above
