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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Numerical Methods & Financial Mathematics | 15% | - Root finding and approximation - Time value of money - Basics of risk modeling |
| Calculus and Functions | 20% | - Multivariable calculus
|
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Probability Theory | 25% | - Basic probability concepts
|
| Linear Algebra and Matrix Theory | 20% | - Vectors and eigenvalues
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:
A) non-linear
B) differential
C) non-functional
D) integrated of order 2
2. Suppose 60% of capital is invested in asset 1, with volatility 40% and the rest is invested in asset 2, with volatility 30%. If the two asset returns have a correlation of -0.5, what is the volatility of the portfolio?
A) 36.33%
B) 26.33%
C) 20.78%
D) 36%
3. An indefinite integral of a polynomial function is
A) none of the above
B) always increasing
C) always positive
D) always less than the function itself
4. What is the total derivative of the function f(x,y) = ln(x+y), where ln() denotes the natural logarithmic function?
A) ln(x+y) x + ln(x+y) y
B) (x + y) / (x+y)
C) 1 / (x+y)
D) -x/(x+y) - y/(x+y)
5. Exploring a regression model for values of the independent variable that have not been observed is most accurately described as...
A) Hypothesis testing
B) Estimation
C) Regression
D) Prediction
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: C | Question # 3 Answer: A | Question # 4 Answer: B | Question # 5 Answer: D |
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