PRMIA 8007 Exam : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

8007
  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Oct 19, 2026
  • Q & A: 133 Questions and Answers

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PRMIA 8007 Exam Syllabus Topics:

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

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

Question #1

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. 3.6 and 7.15
  • D. 3.4 and 3.84
Reveal Solution  Discussion  0

Correct Answer: A  🗳️

Question #2

A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution

  • A. flat and thick at the center and with thin tails
  • B. peaked and thin at the center and with heavy (fat) tails
  • C. flat and thick at the center and with heavy (fat) tails
  • D. peaked and thin at the center and with thin tails
Reveal Solution  Discussion  0

Correct Answer: B  🗳️

Question #3

Consider two functions f(x) and g(x) with indefinite integrals F(x) and G(x), respectively. The indefinite integral of the product f(x)g(x) is given by

  • A. f(x)G(x) - F(x)g'(x)dx
  • B. F(x)g(x) + f(x)G(x)
  • C. F(x)g(x) - F(x)g'(x)dx
  • D. F(x)G(x)
Reveal Solution  Discussion  0

Correct Answer: C  🗳️

Question #4

I have a portfolio of two stocks. The weights are equal. The one volatility is 30% while the other is 40%. The minimum and maximum possible values of the volatility of my portfolio are:

  • A. 10% and 70%
  • B. 5% and 35%
  • C. 30% and 40%
  • D. 10% and 40%
Reveal Solution  Discussion  0

Correct Answer: B  🗳️

Question #5

A 95% confidence interval for a parameter estimate can be interpreted as follows:

  • A. The probability that the real value of the parameter is outside this interval is 95%.
  • B. The probability that the estimated value of the parameter is within this interval is 95%.
  • C. The probability that the real value of the parameter is within this interval is 95%.
  • D. The probability that the estimated value of the parameter is outside this interval is 95%.
Reveal Solution  Discussion  0

Correct Answer: C  🗳️

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