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PRMIA 8007 Exam Syllabus Topics:
| Section | Objectives |
|---|---|
| Topic 1: Stochastic Processes and Time Series | - Stochastic processes basics
|
| Topic 2: Simulation and Numerical Methods | - Monte Carlo simulation
|
| Topic 3: Probability and Statistics Foundations | - Statistical inference
|
| Topic 4: Risk Measurement Techniques | - Value at Risk (VaR)
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
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 zero against the alternative that is less than zero?
- A. -2.5
- B. 0.125
- C. -1.25
- D. 2.5
Correct Answer: A 🗳️
Which of the following can be used to evaluate a regression model?
(i) Magnitude of R2
(ii) Magnitude of TSS (total sum of squares)
(iii) Tests for statistical significance
(iv) Sign and magnitude of each regression parameter
- A. (i), (ii), and (iii)
- B. (i) and (iv)
- C. (i), (ii), (iii), and (iv)
- D. (i), (iii), and (iv)
Correct Answer: D 🗳️
Which of the following statements about variance and standard deviation are correct?
1. When calculated based on a sample of the population data, one has to correct for any bias in the result by using the number of degrees of freedom in the calculation
2. Variance is in square root units of the underlying data, whereas standard deviation is in units of the underlying data
3. When considering independent variables, variance is additive, while standard deviation is not
- A. All three statements are correct
- B. Statements 2 and 3 are correct
- C. Statements 1 and 2 are correct
- D. Statements 1 and 3 are correct
Correct Answer: D 🗳️
A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?
- A. 0.3333
- B. 0.375
- C. 1.125
- D. 0.75
Correct Answer: B 🗳️
When a number is written with a fraction as an exponent, such as , which of the following is the correct computation?
- A. Take the square-root of 75 and raise it to the 5th power
- B. Square 75, then take the fifth root of it
- C. Multiply 75 by 2.5
- D. Divide 75 by 2, then raise it to the 5th power
Correct Answer: A 🗳️
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