PRMIA 8007 Q&A - in .pdf

  • 8007 pdf
  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Jul 16, 2026
  • Q & A: 133 Questions and Answers
  • Convenient, easy to study.
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  • PDF Price: $59.99

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  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
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  • Updated: Jul 16, 2026
  • Q & A: 133 Questions and Answers
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PRMIA 8007 Q&A - Testing Engine

  • 8007 Testing Engine
  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Jul 16, 2026
  • Q & A: 133 Questions and Answers
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PRMIA 8007 Exam Syllabus Topics:

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

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

                                    1. In a multiple linear regression, the significance of R2 can be tested using which distribution?

                                    A) Binomial distribution
                                    B) F-distribution
                                    C) Student's t distribution
                                    D) Normal distribution


                                    2. The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:

                                    A) 128
                                    B) Infinity
                                    C) 20
                                    D) 12


                                    3. For each of the following functions, indicate whether its graph is concave or convex:
                                    Y = 7x2 + 3x + 9
                                    Y = 6 ln(3x)
                                    Y = exp(-4x)

                                    A) convex, concave, concave
                                    B) convex, convex, concave
                                    C) concave, concave, concave
                                    D) concave, convex, convex


                                    4. For the function f(x) =3x-x3 which of the following is true?

                                    A) None of these
                                    B) x = 0 is a minimum
                                    C) x = -3 is a maximum
                                    D) x = 2 is a maximum


                                    5. Evaluate the derivative of exp(x2 + 2x + 1) at the point x = -1

                                    A) 1
                                    B) 0
                                    C) 2
                                    D) 0.5


                                    Solutions:

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

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