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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Risk Measurement Techniques | - Value at Risk (VaR)
|
| Topic 2: Probability and Statistics Foundations | - Statistical inference
|
| Topic 3: Simulation and Numerical Methods | - Monte Carlo simulation
|
| Topic 4: Stochastic Processes and Time Series | - Stochastic processes basics
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Which of the following properties is exhibited by multiplication, but not by addition?
- A. associativity
- B. distributivity
- C. invertibility
- D. commutativity
Correct Answer: B 🗳️
There are two portfolios with no overlapping of stocks or bonds. Portfolio 1 has 6 stocks and 6 bonds.
Portfolio 2 has 4 stocks and 8 bonds. If we randomly select one stock, what is the probability that it came from Portfolio1?
- A. None of these
- B. 0.6
- C. 0.5
- D. 0.3
Correct Answer: B 🗳️
If the annual volatility of returns is 25% what is the variance of the quarterly returns?
- A. 0.1250
- B. 0.0156
- C. 0.0625
- D. None of the above
Correct Answer: B 🗳️
The bisection method can be used for solving f(x)=0 for a unique solution of x, when
- A. The function f(x) is differentiable and we have an explicit expression for the derivative
- B. The function f(x) is continuous and monotonic
- C. The function f(x) is continuous
- D. The function f(x) is differentiable
Correct Answer: B 🗳️
A biased coin has a probability of getting heads equal to 0.3. If the coin is tossed 4 times, what is the probability of getting heads at least two times?
- A. 0.7367
- B. None of these
- C. 0.2646
- D. 0.3483
Correct Answer: D 🗳️
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