8007 Q&A - in .pdf

  • 8007 pdf
  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Sep 07, 2026
  • Q & A: 133 Questions and Answers
  • Convenient, easy to study.
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  • Updated: Sep 07, 2026
  • Q & A: 133 Questions and Answers
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8007 Q&A - Testing Engine

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  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Sep 07, 2026
  • Q & A: 133 Questions and Answers
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PRMIA 8007 Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Numerical Methods & Financial Mathematics15%- Basics of risk modeling
- Root finding and approximation
- Time value of money
Topic 2: Calculus and Functions20%- Single-variable calculus
  • 1. Integrals and applications
    • 2. Derivatives and applications
      • 3. Limits and continuity
        - Multivariable calculus
        • 1. Optimization
          • 2. Partial derivatives
            Topic 3: Probability Theory25%- Basic probability concepts
            • 1. Axioms and rules
              • 2. Conditional probability and independence
                - Random variables and distributions
                • 1. Discrete and continuous distributions
                  • 2. Expected value, variance, covariance
                    Topic 4: Linear Algebra and Matrix Theory20%- Vectors and eigenvalues
                    • 1. Diagonalization
                      • 2. Eigenvalues and eigenvectors
                        - Matrix operations
                        • 1. Addition, multiplication, inversion
                          • 2. Determinants and trace
                            Topic 5: Statistics and Regression Analysis20%- Descriptive statistics
                            • 1. Measures of location and dispersion
                              • 2. Correlation and covariance
                                - Linear regression
                                • 1. Hypothesis testing and confidence intervals
                                  • 2. Simple and multiple regression

                                    PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

                                    Question #1

                                    The natural logarithm of x is:

                                    • A. log(e)
                                    • B. always greater than x, for x>0
                                    • C. 46
                                    • D. the inverse function of exp(x)
                                    Answer: D
                                    Question #2

                                    Every covariance matrix must be positive semi-definite. If it were not then:

                                    • A. Some portfolios could have a negative variance
                                    • B. It could not be used to simulate correlated asset paths
                                    • C. The associated correlation matrix would not be positive semi-definite
                                    • D. All the above statements are true
                                    Answer: D
                                    Question #3

                                    Which of the provided answers solves this system of equations?
                                    2y - 3x = 3y +x
                                    y2 + x2 = 68

                                    • A. x = -2; y = -8
                                    • B. x = 2; y = 8
                                    • C. x = 1; y = square root of 67
                                    • D. x = 2; y = -8
                                    Answer: D
                                    Question #4

                                    Concerning a standard normal distribution and a Student's t distribution (with more than four degrees of freedom), which of the following is true?

                                    • A. The normal distribution has higher kurtosis than the t distribution.
                                    • B. The normal distribution has lower kurtosis than the t distribution.
                                    • C. The distributions have the same kurtosis.
                                    • D. Which has the higher kurtosis depends on the degrees of freedom of the t distribution.
                                    Answer: B
                                    Question #5

                                    Over four consecutive years fund X returns 1%, 5%, -3%, 8%. What is the average growth rate of fund X over this period?

                                    • A. 2.67%
                                    • B. None of the above
                                    • C. 2.49%
                                    • D. 2.75%
                                    Answer: A

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