PRMIA 8007 exam - in .pdf

8007 pdf
  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Jul 24, 2026
  • Q & A: 133 Questions and Answers
  • PDF Price: $59.99
  • PDF Demo

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  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Jul 24, 2026
  • Q & A: 133 Questions and Answers
  • PDF Version + PC Test Engine + Online Test Engine
  • Value Pack Total: $119.98  $79.99
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PRMIA 8007 exam - Testing Engine

8007 Testing Engine
  • Exam Code: 8007
  • Exam Name: Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition
  • Updated: Jul 24, 2026
  • Q & A: 133 Questions and Answers
  • Software Price: $59.99
  • Testing Engine

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PRMIA 8007 Exam Syllabus Topics:

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

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

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


2. Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?

A) 3
B) 2
C) 0
D) 1


3. Stress testing portfolios requires changing the asset volatilities and correlations to extreme values. Which of the following would lead to a non positive definite covariance matrix?

A) Changing all the correlations to be unity
B) All of the above
C) Changing the volatilities to be greater than 100%
D) Changing all the correlations to be zero


4. Which of the following statements concerning class intervals used for grouping of data is correct?
When grouping data, attention must be paid to the following with regards to class intervals:
1. Class intervals should not overlap
2. Class intervals should be of equal size unless there is a specific need to highlight data within a specific subgroup
3. The class intervals should be large enough so that they not obscure interesting variation within the group

A) Statements 2 and 3 are correct
B) All three statements are correct
C) Statements 1 and 2 are correct
D) Statements 1 and 3 are correct


5. What is the probability of tossing a coin and getting exactly 2 heads out of 5 throws?

A) None of these
B) 9/23
C) 8/15
D) 10/32


Solutions:

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

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