Try PRMIA : 8007 valid & accurate questions and answers

Updated: Jul 29, 2026

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PRMIA 8007 Exam Overview:

Certification Vendor:PRMIA (Professional Risk Managers' International Association)
Exam Name:Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
Exam Number:8007
Related Certifications:PRMâ„¢ Certification
ORM (Operational Risk Manager)
Available Languages:English
Real Exam Qty:132
Exam Duration:120 minutes
Exam Price:$650 - $800 USD (varies by PRMIA membership type)
Exam Format:Multiple-choice questions, Computer-based, No negative marking
Passing Score:60%
Certificate Validity Period:3 years from passing; must complete all PRM exams within 2 years
Recommended Training:PRMIA Recommended Preparation Resources
PRMIA Official Handbook & Study Materials
Exam Registration:PRMIA Official Registration
Pearson VUE Scheduling
Sample Questions:PRMIA 8007 Sample Questions
Exam Way:Online proctored or onsite at Pearson VUE testing centers
Pre Condition:PRMIA membership; bachelor's degree + 2 years experience OR 4 years experience without degree; graduate degree or relevant professional designation may waive experience requirement
Official Syllabus URL:https://prmia.org/Public/PRM/PRM_Handbook_Digital%20Resources.aspx

PRMIA 8007 Exam Syllabus Topics:

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

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

                                    1. An option has value 10 when the underlying price is 99 and value 9.5 when the underlying price is 101.
                                    Approximate the value of the option delta using a first order central finite difference.

                                    A) 0.25
                                    B) -4
                                    C) -0.25
                                    D) -0.5


                                    2. 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) -1.2
                                    B) -2.8
                                    C) None of the above
                                    D) 1.3


                                    3. You want to test the hypothesis that a population parameter of a regression model is zero. Your alternative hypothesis is that 0. Denote by SD() the estimated standard deviation of , and by MEAN() the estimated mean of . Which test statistic is appropriate, and what is its distribution?

                                    A) test statistic = MEAN()/SD(), normal distribution
                                    B) test statistic = MEAN()/SD(), t distribution
                                    C) test statistic = SD()/MEAN(), normal distribution
                                    D) test statistic = SD()/MEAN(), t distribution


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

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


                                    5. What is the maximum value for f(x)= 8-(x+3)(x-3)?

                                    A) -1
                                    B) None of these
                                    C) 8
                                    D) 17


                                    Solutions:

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

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