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Updated: Sep 10, 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 |
| Available Languages: | English |
| Certificate Validity Period: | Part of PRM Certification Program; exam credits remain valid subject to PRMIA certification policies |
| Exam Format: | Multiple Choice |
| Related Certifications: | Exam III: Risk Management Frameworks, Operational Risk, Credit Risk, Counterparty Risk, Market Risk, ALM, FTP - 2015 Edition Exam I: Finance Theory, Financial Instruments and Financial Markets - 2015 Edition Professional Risk Manager (PRM) Certification Exam IV: Case Studies, Standards, Governance, Best Practices and Ethics - 2015 Edition |
| Real Exam Qty: | 24 |
| Exam Duration: | 120 minutes |
| Exam Price: | USD 200 |
| 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:
| Section | Objectives |
|---|---|
| Topic 1: Probability Theory | - Fundamental Probability Concepts
|
| Topic 2: Calculus | - Differential and Integral Calculus
|
| Topic 3: Linear Algebra | - Matrix Methods
|
| Topic 4: Statistical Analysis | - Descriptive and Inferential Statistics
|
| Topic 5: Regression and Time Series Analysis | - Modeling Techniques
|
| Topic 6: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 7: Numerical Methods | - Quantitative Techniques
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
You are given the following regressions of the first difference of the log of a commodity price on the lagged price and of the first difference of the log return on the lagged log return. Each regression is based on 100 data points and figures in square brackets denote the estimated standard errors of the coefficient estimates:
Which of the following hypotheses can be accepted based on these regressions at the 5% confidence level (corresponding to a critical value of the Dickey Fuller test statistic of - 2.89)?
- A. None of the above
- B. The commodity prices are stationary
- C. The commodity returns are integrated of order 1
- D. The commodity returns are stationary
Correct Answer: A 🗳️
Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...
- A. Many dependent variables, one independent variable, one error variable
- B. One dependent variable, many independent variables, one error variable
- C. One dependent variable, one independent variable, many error variables
- D. Many dependent variables, many independent variables, many error variables
Correct Answer: B 🗳️
Which of the provided answers solves this system of equations?
2y - 3x = 3y +x
y2 + x2 = 68
- A. x = -2; y = -8
- B. x = 2; y = -8
- C. x = 1; y = square root of 67
- D. x = 2; y = 8
Correct Answer: B 🗳️
At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?
- A. -0.666666667
- B. 2
- C. 0
- D. 2.66667
Correct Answer: D 🗳️
A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates. What is the value of the test statistic for the hypothesis that the coefficient of is zero against the alternative that is less than zero?
- A. 0.125
- B. 2.5
- C. -1.25
- D. -2.5
Correct Answer: D 🗳️
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