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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Numerical Methods & Financial Mathematics | 15% | - Basics of risk modeling - Root finding and approximation - Time value of money |
| Calculus and Functions | 20% | - Single-variable calculus
|
| Statistics and Regression Analysis | 20% | - Descriptive statistics
|
| Linear Algebra and Matrix Theory | 20% | - Vectors and eigenvalues
|
| Probability Theory | 25% | - Basic probability concepts
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Your stockbroker randomly recommends stocks to his clients from a tip sheet he is given each day. Today, his tip sheet has 3 common stocks and 5 preferred stocks from Asian companies and 3 common stocks and 5 preferred stocks from European companies. What is the probability that he will recommend a common stock AND/OR a European stock to you when you call and ask for one stock to buy today?
- A. 7/8
- B. 9/16
- C. None of these
- D. 11/16
Correct Answer: D 🗳️
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. 0.125
- B. -1.25
- C. 2.5
- D. -2.5
Correct Answer: D 🗳️
For a quadratic equation, which of the following is FALSE?
- A. If the discriminant is negative there are two different real solutions
- B. If the discriminant is negative, there are no real solutions
- C. If the discriminant is zero, there is only one solution
- D. If the discriminant is positive there are two different real solutions
Correct Answer: A 🗳️
The Newton-Raphson method
- A. can be used for continuous but not differentiable functions
- B. is based on Taylor series and uses the first derivative
- C. does provide an error bound along with every iteration
- D. is based on finding a middle point between left and right end of the search interval
Correct Answer: B 🗳️
Find the roots, if they exist in the real numbers, of the quadratic equation
- A. 4 and -2
- B. No real roots
- C. 1 and 0
- D. -4 and 2
Correct Answer: B 🗳️
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