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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Probability and Statistics Foundations | - Random variables and probability distributions
|
| Topic 2: Stochastic Processes and Time Series | - Time series analysis
|
| Topic 3: Simulation and Numerical Methods | - Monte Carlo simulation
|
| Topic 4: Risk Measurement Techniques | - Value at Risk (VaR)
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
You invest $100 000 for 3 years at a continuously compounded rate of 3%. At the end of 3 years, you redeem the investment. Taxes of 22% are applied at the time of redemption. What is your approximate after-tax profit from the investment, rounded to $10?
- A. $7100
- B. $9420
- C. $7350
- D. $7230
Correct Answer: C 🗳️
The Newton-Raphson method
- A. does provide an error bound along with every iteration
- B. is based on finding a middle point between left and right end of the search interval
- C. can be used for continuous but not differentiable functions
- D. is based on Taylor series and uses the first derivative
Correct Answer: D 🗳️
The quarterly compounded rate of return is 6% per annum. What is the corresponding effective annual return?
- A. 6.14%
- B. None of the above
- C. 1.50%
- D. 6%
Correct Answer: A 🗳️
In a quadratic Taylor approximation, a function is approximated by:
- A. a parabola
- B. a constant
- C. a cubic polynomial
- D. a straight line
Correct Answer: A 🗳️
On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?
- A. 0.905
- B. 0.100
- C. 0.95
- D. 0.095
Correct Answer: A 🗳️
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