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PRMIA PRM 8007

8007

Exam Code: 8007

Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

Updated Time: Sep 11, 2026

Q & A: 133 Questions and Answers

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PRMIA 8007 Exam Syllabus Topics:

SectionObjectives
Stochastic Processes and Time Series- Time series analysis
  • 1. Autocorrelation and stationarity
    • 2. AR, MA, and ARMA models
      - Stochastic processes basics
      • 1. Brownian motion (introductory level)
        • 2. Markov processes
          Simulation and Numerical Methods- Monte Carlo simulation
          • 1. Risk distribution simulation
            • 2. Random number generation
              Risk Measurement Techniques- Value at Risk (VaR)
              • 1. Historical simulation approach
                • 2. Parametric and non-parametric VaR
                  - Volatility and correlation
                  • 1. Correlation estimation techniques
                    • 2. Variance-covariance methods
                      Probability and Statistics Foundations- Statistical inference
                      • 1. Estimation theory
                        • 2. Confidence intervals and hypothesis testing
                          - Random variables and probability distributions
                          • 1. Discrete and continuous distributions
                            • 2. Expectation, variance, and moments

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

                              Question #1

                              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. 2.49%
                              C. 2.75%
                              D. None of the above


                              Question #2

                              The bisection method can be used for solving f(x)=0 for a unique solution of x, when

                              A. The function f(x) is continuous
                              B. The function f(x) is continuous and monotonic
                              C. The function f(x) is differentiable and we have an explicit expression for the derivative
                              D. The function f(x) is differentiable


                              Question #3

                              A quadratic form is

                              A. an algebraic expression in two variables, x and y, involving , , and terms.
                              B. defined as a positive definite Hessian matrix.
                              C. an algebraic expression in two variables, x and y, involving , and terms.
                              D. a specific solution of the Black-Scholes pricing formula


                              Question #4

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

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


                              Question #5

                              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


                              Solutions:

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

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