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Real PRMIA 8007 practice exam questions for easy pass!

Updated: Aug 16, 2026

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PRMIA 8007 Exam Overview:

Certification Vendor:PRMIA
Exam Name:Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
Exam Number:8007
Related Certifications:Professional Risk Manager (PRM) Certification
Exam I: Finance Theory, Financial Instruments and Financial Markets - 2015 Edition
Exam III: Risk Management Frameworks, Operational Risk, Credit Risk, Counterparty Risk, Market Risk, ALM, FTP - 2015 Edition
Exam IV: Case Studies, Standards, Governance, Best Practices and Ethics - 2015 Edition
Exam Price:USD 200
Real Exam Qty:24
Certificate Validity Period:Part of PRM Certification Program; exam credits remain valid subject to PRMIA certification policies
Exam Format:Multiple Choice
Exam Duration:120 minutes
Available Languages:English
Passing Score:60%
Sample Questions:PRMIA 8007 Sample Questions
Exam Way:Computer-based testing through authorized PRMIA testing providers; available at testing centers and online where offered.
Pre Condition:No formal prerequisite examination required. Candidates pursuing the PRM designation must successfully complete all required PRM examinations and satisfy PRMIA certification requirements.
Official Syllabus URL:https://prmia.org/

PRMIA 8007 Exam Syllabus Topics:

SectionObjectives
Topic 1: Regression and Time Series Analysis- Modeling Techniques
  • 1. Time Series Forecasting
  • 2. Linear Regression
  • 3. Model Diagnostics
  • 4. Multivariate Regression
Topic 2: Numerical Methods- Quantitative Techniques
  • 1. Numerical Approximation
  • 2. Monte Carlo Methods
  • 3. Simulation Techniques
  • 4. Optimization Methods
Topic 3: Statistical Analysis- Descriptive and Inferential Statistics
  • 1. Moments and Distributions
  • 2. Confidence Intervals
  • 3. Maximum Likelihood Estimation
  • 4. Hypothesis Testing
Topic 4: Probability Theory- Fundamental Probability Concepts
  • 1. Probability Rules
  • 2. Conditional Probability
  • 3. Random Variables
  • 4. Bayes' Theorem
Topic 5: Risk Measurement Applications- Quantitative Risk Analysis
  • 1. Portfolio Risk Measurement
  • 2. Volatility Modeling
  • 3. Value at Risk Methodologies
  • 4. Sensitivity Analysis
Topic 6: Linear Algebra- Matrix Methods
  • 1. Eigenvalues and Eigenvectors
  • 2. Matrix Operations
  • 3. Positive Definiteness
  • 4. Covariance Matrices
Topic 7: Calculus- Differential and Integral Calculus
  • 1. Functions and Limits
  • 2. Integration
  • 3. Differentiation
  • 4. Multivariable Calculus

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

1. What is the simplest form of this expression: log2(165/2)

A) 32
B) log2 (5/2) + log2(16)
C) 5/2 + log2(16)
D) 10


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


3. You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.

A) a lump-sum payment of $22 500 on maturity (in five years)
B) a quarterly-compounded rate of 4.1%
C) a continuously-compounded rate of 4%
D) an annually compounded rate of 4.15%


4. Suppose a discrete random variable can take on the values -1, 0 and 1 each with a probability of 1/3. Then the mean and variance of the variable is

A) mean is 0, variance is 2/3
B) mean is 0, variance is 1/2
C) mean is 0, variance is 1/3
D) mean is 1/3, variance is 1/3


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

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


Solutions:

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

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