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PRMIA 8007 valid - in .pdf
- Exam Code: 8007
- Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
- Q & A: 133 Questions and Answers
- PDF Price: $59.99
- Free Demo
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- Exam Code: 8007
- Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
- Q & A: 133 Questions and Answers
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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Calculus and Functions | 20% | - Multivariable calculus
|
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Numerical Methods & Financial Mathematics | 15% | - Root finding and approximation - Basics of risk modeling - Time value of money |
| Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
| Probability Theory | 25% | - Random variables and distributions
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Question #1
What is a Hessian?
- A. The vector of partial derivatives of a contingent claim
- B. Correlation matrix of market indices
- C. The point at which a minimum of a multidimensional function is achieved
- D. A matrix of second derivatives of a function
Correct Answer: D 🗳️
Question #2
Consider a binomial lattice where a security price S moves up by a factor u with probability p, or down by a factor d with probability 1 - p. If we set d > 1/u then which of the following will be TRUE?
- A. There will always be a downward drift in the lattice
- B. The lattice will not recombine
- C. None of the above
- D. The probability of an up move will not be constant
Correct Answer: C 🗳️
Question #3
Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?
- A. the definite integral of the PDF from minus infinity to plus infinity is zero.
- B. the definite integral of the CDF from minus infinity to plus infinity is undefined.
- C. the PDF is non-negative.
- D. the CDF approaches 1 as its argument approaches infinity.
Correct Answer: A 🗳️
Question #4
Which of the following is not a sequence?
- A. 30
- B. , , , , , , ...
- C. , , , ... , , ...
- D. , , , , ...
Correct Answer: A 🗳️
Question #5
Let a, b and c be real numbers. Which of the following statements is true?
- A. The existence of negatives is defined by
- B. The commutativity of multiplication is defined by
- C. The distributivity of multiplication is defined by
- D. The associativity of multiplication is defined by
Correct Answer: C 🗳️
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