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Updated: Sep 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: | 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 Professional Risk Manager (PRM) Certification |
| Exam Format: | Multiple Choice |
| Certificate Validity Period: | Part of PRM Certification Program; exam credits remain valid subject to PRMIA certification policies |
| Available Languages: | English |
| Exam Duration: | 120 minutes |
| Real Exam Qty: | 24 |
| 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: Numerical Methods | - Quantitative Techniques
|
| Topic 2: Risk Measurement Applications | - Quantitative Risk Analysis
|
| Topic 3: Linear Algebra | - Matrix Methods
|
| Topic 4: Calculus | - Differential and Integral Calculus
|
| Topic 5: Probability Theory | - Fundamental Probability Concepts
|
| Topic 6: Regression and Time Series Analysis | - Modeling Techniques
|
| Topic 7: Statistical Analysis | - Descriptive and Inferential Statistics
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
When a number is written with a fraction as an exponent, such as , which of the following is the correct computation?
- A. Square 75, then take the fifth root of it
- B. Multiply 75 by 2.5
- C. Take the square-root of 75 and raise it to the 5th power
- D. Divide 75 by 2, then raise it to the 5th power
Correct Answer: C 🗳️
Which of the following is consistent with the definition of a Type I error?
- A. A Type I occurs whenever data series are serially correlated
- B. A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of positive correlation was rejected
- C. A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of no correlation was rejected
- D. The probability of a Type I error is 100% minus the significance level
Correct Answer: B 🗳️
The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:
- A. Infinity
- B. 12
- C. 20
- D. 128
Correct Answer: A 🗳️
The correlation between two asset returns is 0.5. What is the largest eigenvalue of their correlation matrix?
- A. 0.5
- B. 1.5
- C. 1
- D. None of the above
Correct Answer: B 🗳️
If the annual volatility of returns is 25% what is the variance of the quarterly returns?
- A. 0.0156
- B. 0.0625
- C. None of the above
- D. 0.1250
Correct Answer: A 🗳️
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