Updated: Jul 29, 2026
No. of Questions: 133 Questions & Answers with Testing Engine
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| Certification Vendor: | PRMIA (Professional Risk Managers' International Association) |
| Exam Name: | Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition |
| Exam Number: | 8007 |
| Related Certifications: | PRMâ„¢ Certification ORM (Operational Risk Manager) |
| Available Languages: | English |
| Real Exam Qty: | 132 |
| Exam Duration: | 120 minutes |
| Exam Price: | $650 - $800 USD (varies by PRMIA membership type) |
| Exam Format: | Multiple-choice questions, Computer-based, No negative marking |
| Passing Score: | 60% |
| Certificate Validity Period: | 3 years from passing; must complete all PRM exams within 2 years |
| Recommended Training: | PRMIA Recommended Preparation Resources PRMIA Official Handbook & Study Materials |
| 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 |
| Section | Weight | Objectives |
|---|---|---|
| Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
| Probability Theory | 25% | - Basic probability concepts
|
| Numerical Methods & Financial Mathematics | 15% | - Time value of money - Root finding and approximation - Basics of risk modeling |
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Calculus and Functions | 20% | - Multivariable calculus
|
1. An option has value 10 when the underlying price is 99 and value 9.5 when the underlying price is 101.
Approximate the value of the option delta using a first order central finite difference.
A) 0.25
B) -4
C) -0.25
D) -0.5
2. Let E(X ) = 1, E(Y ) = 3, Corr(X, Y ) = -0.2, E(X2 ) = 10 and E(Y2 ) = 13. Find the covariance between X and Y
A) -1.2
B) -2.8
C) None of the above
D) 1.3
3. You want to test the hypothesis that a population parameter of a regression model is zero. Your alternative hypothesis is that 0. Denote by SD() the estimated standard deviation of , and by MEAN() the estimated mean of . Which test statistic is appropriate, and what is its distribution?
A) test statistic = MEAN()/SD(), normal distribution
B) test statistic = MEAN()/SD(), t distribution
C) test statistic = SD()/MEAN(), normal distribution
D) test statistic = SD()/MEAN(), t distribution
4. In a multiple linear regression, the significance of R2 can be tested using which distribution?
A) F-distribution
B) Normal distribution
C) Student's t distribution
D) Binomial distribution
5. What is the maximum value for f(x)= 8-(x+3)(x-3)?
A) -1
B) None of these
C) 8
D) 17
Solutions:
| Question # 1 Answer: C | Question # 2 Answer: A | Question # 3 Answer: B | Question # 4 Answer: A | Question # 5 Answer: D |
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