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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Calculus and Functions | 20% | - Multivariable calculus
|
| Numerical Methods & Financial Mathematics | 15% | - Time value of money - Basics of risk modeling - Root finding and approximation |
| Probability Theory | 25% | - Random variables and distributions
|
| Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
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. -0.5
- B. 0.25
- C. -0.25
- D. -4
Correct Answer: C 🗳️
Every covariance matrix must be positive semi-definite. If it were not then:
- A. All the above statements are true
- B. There would be no Cholesky decomposition matrix
- C. One or more of its eigenvalues would be negative
- D. Some portfolios could have a negative variance
Correct Answer: A 🗳️
Find the roots, if they exist in the real numbers, of the quadratic equation
- A. -4 and 2
- B. 1 and 0
- C. No real roots
- D. 4 and -2
Correct Answer: C 🗳️
I have $5m to invest in two stocks: 75% of my capital is invested in stock 1 which has price 100 and the rest is invested in stock 2, which has price 125. If the price of stock 1 falls to 90 and the price of stock 2 rises to 150, what is the return on my portfolio?
- A. -5%
- B. 5%
- C. 2.50%
- D. -2.50%
Correct Answer: D 🗳️
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. 9/25 and 12/25
- B. 2/5 and 1/2
- C. 1/3 and 8/17
- D. 2/5 and 3/5
Correct Answer: A 🗳️
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