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

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Updated: Sep 14, 2026

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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
Available Languages:	English
Exam Format:	Computer-Based Exam, Multiple Choice
Passing Score:	60%
Exam Duration:	90 minutes
Real Exam Qty:	36
Related Certifications:	PRM Exam III PRM Exam IV PRM Exam I
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:

Section	Objectives
Stochastic Processes and Time Series	- Time series analysis 1. AR, MA, and ARMA models 2. Autocorrelation and stationarity - Stochastic processes basics 1. Markov processes 2. Brownian motion (introductory level)
Simulation and Numerical Methods	- Monte Carlo simulation 1. Random number generation 2. Risk distribution simulation
Risk Measurement Techniques	- Volatility and correlation 1. Correlation estimation techniques 2. Variance-covariance methods - Value at Risk (VaR) 1. Parametric and non-parametric VaR 2. Historical simulation approach
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

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

Question #1

Every covariance matrix must be positive semi-definite. If it were not then:

A. All the above statements are true
B. The associated correlation matrix would not be positive semi-definite
C. It could not be used to simulate correlated asset paths
D. Some portfolios could have a negative variance

Answer: A

Question #2

Newton-Raphson iteration is used to find a solution of x5 - x3 + x = 1. If xn = 2, what is xn+1?

A. 1.638
B. 0.377
C. 1.623
D. 2.362

Answer: A

Question #3

What is the 40th term in the following series: 4, 14, 30, 52, ...?

A. 4960
B. 240
C. 4840
D. 4598

Answer: C

Question #4

An operational risk analyst models the occurrence of computer failures as a Poisson process with an arrival rate of 2 events per year. According to this model, what is the probability of zero failures in one year?

A. 0.02
B. 0.50
C. 0.14
D. 0.25

Answer: C

Question #5

The determinant of a matrix X is equal 2. Which of the following statements is true?

A. det(2X) = 2 det(X)
B. det(2X) = 4 det(X)
C. det(2X) =
D. det(2X) = det(X)2

Answer: B

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