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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Regression and Time Series Analysis | - Modeling Techniques
|
| Topic 2: Calculus | - Differential and Integral Calculus
|
| Topic 3: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 4: Statistical Analysis | - Descriptive and Inferential Statistics
|
| Topic 5: Numerical Methods | - Quantitative Techniques
|
| Topic 6: Linear Algebra | - Matrix Methods
|
| Topic 7: Probability Theory | - Fundamental Probability Concepts
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
I have $5m to invest in two stocks: 75% of my capital is invested in stock 1 which has price 100 and the rest is invested in stock 2, which has price 125. If the price of stock 1 falls to 90 and the price of stock 2 rises to 150, what is the return on my portfolio?
- A. -2.50%
- B. 2.50%
- C. -5%
- D. 5%
Correct Answer: A 🗳️
Evaluate the derivative of ln(1+ x2) at the point x = 1
- A. 1
- B. 0.5
- C. 2
- D. 0
Correct Answer: A 🗳️
If a random variable X has a normal distribution with mean zero and variance 4, approximately what proportion of realizations of X should lie between -4 and +4?
- A. 66.60%
- B. 95%
- C. 90%
- D. 99%
Correct Answer: B 🗳️
The fundamental theorem of analysis establishes a relation between
- A. First and second derivative of a function
- B. The derivative of a function and the derivative of its inverse function
- C. Integration and differentiation of functions
- D. The derivative of a function and the slope of its graph
Correct Answer: C 🗳️
Solve the simultaneous linear equations: x + 2y - 2 = 0 and y - 3x = 8
- A. x = 2, y = 0
- B. x = 1, y = 0.5
- C. None of the above
- D. x = -2, y = 2
Correct Answer: D 🗳️
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