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- Total Questions: 133
- Updated on: Sep 10, 2026
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Everything you need for PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition preparation lives in one place at Fast2test: a printable PDF, two test engines, free updates for 365 days, and a demo to try first. Grab the 8007 package in 2026 and turn a vague study plan into a finished one.
PRMIA 8007 Exam Overview:
| Certification Vendor: | PRMIA (Professional Risk Managers' International Association) |
|---|---|
| Exam Name: | Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition |
| Exam Number: | 8007 |
| Exam Duration: | 120 minutes |
| Exam Price: | $650 - $800 USD (varies by PRMIA membership type) |
| Certificate Validity Period: | 3 years from passing; must complete all PRM exams within 2 years |
| Related Certifications: | ORM (Operational Risk Manager) PRM™ Certification |
| Real Exam Qty: | 132 |
| Exam Format: | Computer-based, No negative marking, Multiple-choice questions |
| Passing Score: | 60% |
| Available Languages: | English |
| Recommended Training: | PRMIA Official Handbook & Study Materials PRMIA Recommended Preparation Resources |
| Exam Registration: | PRMIA Official Registration Pearson VUE Scheduling |
| Sample Questions: | PRMIA 8007 Sample Questions |
| Exam Way: | Online proctored or onsite at Pearson VUE testing centers |
| Pre Condition: | PRMIA membership; bachelor's degree + 2 years experience OR 4 years experience without degree; graduate degree or relevant professional designation may waive experience requirement |
| Official Syllabus URL: | https://prmia.org/Public/PRM/PRM_Handbook_Digital%20Resources.aspx |
PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Topic 1: Numerical Methods & Financial Mathematics | 15% | - Basics of risk modeling - Time value of money - Root finding and approximation |
| Topic 2: Probability Theory | 25% | - Random variables and distributions
|
| Topic 3: Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
| Topic 4: Statistics and Regression Analysis | 20% | - Descriptive statistics
|
| Topic 5: Calculus and Functions | 20% | - Single-variable calculus
|
PRMIA 8007 Exam — Your Questions, Answered
The 8007 exam, officially titled Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition, is the PRMIA exam you pass to earn the PRM™ (Professional Risk Manager) certification, a credential at the Professional level. Passing it confirms the skills defined in the official exam outline, and it is associated with related credentials such as PRM™ Certification, ORM (Operational Risk Manager).
The 8007 exam includes 132 questions and gives you 120 minutes to finish them. That is a tight pace per question, so get used to reading each stem once, flagging anything uncertain, and moving on rather than getting stuck. Running timed practice tests in the Fast2test desktop or online test engine is the most reliable way to build that rhythm before exam day.
The passing score for the 8007 exam is 60%, and the official registration fee is $650 - $800 USD (varies by PRMIA membership type). Keep in mind that a failed attempt means paying $650 - $800 USD (varies by PRMIA membership type) again in full to retake it, so book your slot only when your scores on Fast2test practice tests sit consistently above the passing line.
PRMIA lists the following prerequisites or eligibility notes for the 8007 exam: PRMIA membership; bachelor's degree + 2 years experience OR 4 years experience without degree; graduate degree or relevant professional designation may waive experience requirement. Requirements can change over time, so confirm the details on the official exam page at PRMIA's official site before you register.
You can register for the 8007 exam through the official channels below:
The exam is delivered in the following format: Online proctored or onsite at Pearson VUE testing centers. Choose a date that leaves you enough time to work through the full 133-question practice set first.
PRMIA recommends the following training resources for 8007 candidates:
Official courses build the theory, and the 133 practice questions from Fast2test help you turn that theory into exam-ready speed and accuracy.
Yes. Fast2test offers a free PDF demo of the 8007 material, so you can check the question style and answer quality before purchasing. Every purchase also includes 365 days of free updates, and if your product expires you can extend the update service at a 50% discount from your member zone.
Your purchase is protected by a 100% Money Back Guarantee with clear conditions: if you take the corresponding 8007 exam within 60 days of purchase and do not pass, you can apply for a full refund. The candidate name must match the payer name, and you need to submit a scanned exam enrollment slip together with the official Score Report PDF within 2 days of taking the exam; claims are processed within 7 days. Sitting the exam within 3 days of purchase, downloading without taking the exam, free materials, and expired orders are not covered. If you would rather not take a refund, you can exchange your order for two free exam products of equal value and keep the update service on your original purchase.
Delivery is instant: your download links are emailed within one minute of payment, and you can also download directly from the website. If nothing arrives within 2 hours, contact customer service and check your spam folder. There is no limit on how many computers you can install the material on.
The 8007 exam blueprint is divided into 5 domains, starting with Numerical Methods & Financial Mathematics (15%); Linear Algebra and Matrix Theory (20%); Calculus and Functions (20%). For the complete domain-by-domain breakdown, see the Exam Topics section above — it lists every topic the current outline covers.
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Suppose we perform a principle component analysis of the correlation matrix of the returns of 13 yields along the yield curve. The largest eigenvalue of the correlation matrix is 9.8. What percentage of return volatility is explained by the first component? (You may use the fact that the sum of the diagonal elements of a square matrix is always equal to the sum of its eigenvalues.)
- A. 75%
- B. Cannot be determined without estimates of the volatilities of the individual returns
- C. 98%
- D. 64%
Correct Answer: A 🗳️
You work for a brokerage firm that charges its client x per share. The volume of trade of a client of type A depends on the per share commission in the following manner. If the commission is x, the client of type A will trade e-ax shares on average each week. What is the optimal commission x that maximizes the income from client A, noting that a is greater than zero?
- A. a
- B. 1
- C. a2
- D. 42
Correct Answer: D 🗳️
Let X be a random variable distributed normally with mean 0 and standard deviation 1. What is the expected value of exp(X)?
- A. E(exp(X)) = 0.6065
- B. E(exp(X)) = 2.7183
- C. E(exp(X)) = 1.6487
- D. E(exp(X)) = 1
Correct Answer: C 🗳️
In a 2-step binomial tree, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of d = 1/u. The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. Use the Cox, Ross, Rubinstein parameterization to find the risk neutral probability and hence find the value of a European put option with strike 102, given that the underlying price is currently 100.
- A. 5.66
- B. 4.18
- C. 6.31
- D. 5.19
Correct Answer: C 🗳️
Calculate the determinant of the following matrix:
- A. 2
- B. 4
- C. -4.25
- D. 4.25
Correct Answer: A 🗳️
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