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Updated: Jul 25, 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 |
| Real Exam Qty: | 24 |
| Exam Format: | Multiple Choice |
| Available Languages: | English |
| Exam Duration: | 120 minutes |
| Passing Score: | 60% |
| Certificate Validity Period: | Part of PRM Certification Program; exam credits remain valid subject to PRMIA certification policies |
| Related Certifications: | Professional Risk Manager (PRM) Certification 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 |
| Exam Price: | USD 200 |
| 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 |
|---|---|
| Risk Measurement Applications | - Quantitative Risk Analysis
|
| Statistical Analysis | - Descriptive and Inferential Statistics
|
| Regression and Time Series Analysis | - Modeling Techniques
|
| Probability Theory | - Fundamental Probability Concepts
|
| Linear Algebra | - Matrix Methods
|
| Calculus | - Differential and Integral Calculus
|
| Numerical Methods | - Quantitative Techniques
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. 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) 5.19
B) 6.31
C) 5.66
D) 4.18
2. Assume that 40% of all financial organizations investigated by authorities turn out to be fraudulent.
What is the probability of randomly investigating 2 different organizations and finding that neither is fraudulent; and what is the probability of finding exactly one being fraudulent?
A) 2/5 and 1/2
B) 2/5 and 3/5
C) 9/25 and 12/25
D) 1/3 and 8/17
3. The bisection method can be used for solving f(x)=0 for a unique solution of x, when
A) The function f(x) is differentiable
B) The function f(x) is differentiable and we have an explicit expression for the derivative
C) The function f(x) is continuous and monotonic
D) The function f(x) is continuous
4. Exploring a regression model for values of the independent variable that have not been observed is most accurately described as...
A) Hypothesis testing
B) Prediction
C) Estimation
D) Regression
5. A biased coin has a probability of getting heads equal to 0.3. If the coin is tossed 4 times, what is the probability of getting heads at least two times?
A) 0.2646
B) 0.7367
C) 0.3483
D) None of these
Solutions:
| Question # 1 Answer: B | Question # 2 Answer: C | Question # 3 Answer: C | Question # 4 Answer: B | Question # 5 Answer: C |
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