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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Probability and Statistics Foundations | - Statistical inference
|
| Topic 2: Stochastic Processes and Time Series | - Time series analysis
|
| Topic 3: Risk Measurement Techniques | - Value at Risk (VaR)
|
| Topic 4: Simulation and Numerical Methods | - Monte Carlo simulation
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
What is the probability of tossing a coin and getting exactly 2 heads out of 5 throws?
- A. 8/15
- B. None of these
- C. 10/32
- D. 9/23
Correct Answer: C 🗳️
Which of the provided answers solves this system of equations?
2y - 3x = 3y +x
y2 + x2 = 68
- A. x = 1; y = square root of 67
- B. x = -2; y = -8
- C. x = 2; y = -8
- D. x = 2; y = 8
Correct Answer: C 🗳️
What is the maximum value of the function F(x, y)=x2+y2 in the domain defined by inequalities x 1, y -2, y-x 3 ?
- A. 29
- B. 17
- C. 1
- D. -25
Correct Answer: A 🗳️
What is a Hessian?
- A. A matrix of second derivatives of a function
- B. The vector of partial derivatives of a contingent claim
- C. The point at which a minimum of a multidimensional function is achieved
- D. Correlation matrix of market indices
Correct Answer: A 🗳️
The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:
- A. 128
- B. 20
- C. 12
- D. Infinity
Correct Answer: D 🗳️
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