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Exam Code: 8007
Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
Certification Provider: PRMIA
Corresponding Certification: PRM

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8007

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Updated: Sep 10, 2026

No. of Questions: 133 Questions & Answers with Testing Engine

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PRMIA 8007 Exam Overview:

Certification Vendor:PRMIA
Exam Name:PRM Exam II: Mathematical Foundations of Risk Measurement (2015 Edition)
Exam Number:8007
Passing Score:60%
Available Languages:English
Exam Duration:90 minutes
Real Exam Qty:36
Exam Format:Computer-Based Exam, Multiple Choice
Related Certifications:PRM Exam I
PRM Exam IV
PRM Exam III
Recommended Training:PRMIA Official Study Materials
Exam Registration:PRMIA Exam Registration
Sample Questions:PRMIA 8007 Sample Questions
Exam Way:Computer-based testing (online proctored or authorized test center)
Pre Condition:Completion of PRM Exam I is required before taking Exam II.
Official Syllabus URL:https://www.prmia.org

PRMIA 8007 Exam Syllabus Topics:

SectionObjectives
Topic 1: Probability and Statistics Foundations- Statistical inference
  • 1. Confidence intervals and hypothesis testing
    • 2. Estimation theory
      - Random variables and probability distributions
      • 1. Discrete and continuous distributions
        • 2. Expectation, variance, and moments
          Topic 2: Risk Measurement Techniques- Volatility and correlation
          • 1. Variance-covariance methods
            • 2. Correlation estimation techniques
              - Value at Risk (VaR)
              • 1. Parametric and non-parametric VaR
                • 2. Historical simulation approach
                  Topic 3: Simulation and Numerical Methods- Monte Carlo simulation
                  • 1. Risk distribution simulation
                    • 2. Random number generation
                      Topic 4: 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

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

                              Question #1

                              A quadratic form is

                              • A. a specific solution of the Black-Scholes pricing formula
                              • B. an algebraic expression in two variables, x and y, involving , , and terms.
                              • C. defined as a positive definite Hessian matrix.
                              • D. an algebraic expression in two variables, x and y, involving , and terms.
                              Reveal Solution  Discussion  0

                              Correct Answer: D  🗳️

                              Question #2

                              What is the maximum value of the function F(x, y)=x2+y2 in the domain defined by inequalities x 1, y -2, y-x 3 ?

                              • A. -25
                              • B. 1
                              • C. 17
                              • D. 29
                              Reveal Solution  Discussion  0

                              Correct Answer: D  🗳️

                              Question #3

                              Consider the following distribution data for a random variable X: What is the mean and variance of X?

                              • A. None of these
                              • B. 3.5 and 3.45
                              • C. 3.4 and 3.84
                              • D. 3.6 and 7.15
                              Reveal Solution  Discussion  0

                              Correct Answer: A  🗳️

                              Question #4

                              If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:

                              • A. non-functional
                              • B. non-linear
                              • C. differential
                              • D. integrated of order 2
                              Reveal Solution  Discussion  0

                              Correct Answer: D  🗳️

                              Question #5

                              Let E(X ) = 1, E(Y ) = 3, Corr(X, Y ) = -0.2, E(X2 ) = 10 and E(Y2 ) = 13. Find the covariance between X and Y

                              • A. 1.3
                              • B. -1.2
                              • C. -2.8
                              • D. None of the above
                              Reveal Solution  Discussion  0

                              Correct Answer: B  🗳️

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