PRMIA 8007 actual dump : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

8007
  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Jul 29, 2026
  • Q & A: 133 Questions and Answers

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PRMIA 8007 Exam Syllabus Topics:

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

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

                                    1. In a quadratic Taylor approximation, a function is approximated by:

                                    A) a straight line
                                    B) a parabola
                                    C) a cubic polynomial
                                    D) a constant


                                    2. What is the indefinite integral of the function f(x) = ln(x), where ln(x) denotes the natural logarithmic function?

                                    A) x ln(x) - x
                                    B) 1/x
                                    C) ln(x) - x
                                    D) exp(x)


                                    3. Let A be a square matrix and denote its determinant by x. Then the determinant of A transposed is:

                                    A) x
                                    B) x -1
                                    C) -x
                                    D) ln(x)


                                    4. Let X be a random variable normally distributed with zero mean and let . Then the correlation between X and Y is:

                                    A) positive
                                    B) zero
                                    C) negative
                                    D) not defined


                                    5. In statistical hypothesis tests, 'Type I error' refers to the situation in which...

                                    A) The null hypothesis is rejected when in fact it should have been accepted
                                    B) Both null hypothesis and alternative hypothesis are rejected
                                    C) Both null hypothesis and alternative hypothesis are accepted
                                    D) The null hypothesis is accepted when in fact it should have been rejected


                                    Solutions:

                                    Question # 1
                                    Answer: B
                                    Question # 2
                                    Answer: A
                                    Question # 3
                                    Answer: A
                                    Question # 4
                                    Answer: B
                                    Question # 5
                                    Answer: A

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