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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Linear Algebra and Matrix Theory | 20% | - Matrix operations
|
| Probability Theory | 25% | - Basic probability concepts
|
| Calculus and Functions | 20% | - Multivariable calculus
|
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Numerical Methods & Financial Mathematics | 15% | - Basics of risk modeling - Time value of money - Root finding and approximation |
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
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. 4.18
- B. 5.19
- C. 6.31
- D. 5.66
The correlation between two asset returns is 1. What is the smallest eigenvalue of their correlation matrix?
- A. None of the above
- B. 0.5
- C. 0
- D. 1
Which of the following can induce a 'multicollinearity' problem in a regression model?
- A. A large negative correlation between the dependent variable and one of the explanatory variables
- B. A high positive correlation between two explanatory variables
- C. A high positive correlation between the dependent variable and one of the explanatory variables
- D. The omission of a relevant explanatory variable
For the function f(x) =3x-x3 which of the following is true?
- A. x = -3 is a maximum
- B. x = 0 is a minimum
- C. None of these
- D. x = 2 is a maximum
What is the maximum value of the function F(x, y)=x2+y2 in the domain defined by inequalities x 1, y -2, y-x 3 ?
- A. -25
- B. 17
- C. 29
- D. 1
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