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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Probability Theory | 25% | - Random variables and distributions
|
| Calculus and Functions | 20% | - Single-variable calculus
|
| Numerical Methods & Financial Mathematics | 15% | - Root finding and approximation - Time value of money - Basics of risk modeling |
| Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
What is the maximum value for f(x)= 8-(x+3)(x-3)?
- A. -1
- B. 8
- C. None of these
- D. 17
Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?
- A. the PDF is non-negative.
- B. the definite integral of the CDF from minus infinity to plus infinity is undefined.
- C. the CDF approaches 1 as its argument approaches infinity.
- D. the definite integral of the PDF from minus infinity to plus infinity is zero.
A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
Which of the following is an approximate 95% confidence interval for the true value of the coefficient of ?
- A. None of the above
- B. [0, 3]
- C. [0, 1.5]
- D. [1, 2]
You are investigating the relationship between weather and stock market performance. To do this, you pick
100 stock market locations all over the world. For each location, you collect yesterday's mean temperature and humidity and yesterday's local index return. Performing a regression analysis on this data is an example of...
- A. Multiple time-series regression
- B. Simple cross-section regression
- C. Multiple cross-section regression
- D. Simple time-series regression
A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates.
What is the value of the test statistic for the hypothesis that the coefficient of is less than 1?
- A. 0.96
- B. 1.92
- C. 0.32
- D. 0.64
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