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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Linear Algebra and Matrix Theory | 20% | - Vectors and eigenvalues
|
| Numerical Methods & Financial Mathematics | 15% | - Root finding and approximation - Time value of money - Basics of risk modeling |
| Calculus and Functions | 20% | - Single-variable calculus
|
| Probability Theory | 25% | - Basic probability concepts
|
| Statistics and Regression Analysis | 20% | - Descriptive statistics
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Question #1
Which of the following statements is true?
A. The constant plays an important role in the mathematical description of continuous compounding.
B. Continuous compounding can be thought as making the compounding period infinitesimally small.
C. Discrete and continuous compounding produce the same results if the discount rate is positive.
D. Continuous compounding is the better method because it results in higher present values compared to discrete compounding.
Question #2
Which of the following is not a direct cause of autocorrelation or heteroskedasticity in the residuals of a regression model?
A. A high positive correlation between two explanatory variables
B. A structural break in the dependent variable
C. Using an inappropriate functional form in the model
D. The omission of a relevant explanatory variable
Question #3
A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Macaulay Duration of the bond?
A. 1.86
B. 1.95
C. 2
D. 1.75
Question #4
Suppose a discrete random variable can take on the values -1, 0 and 1 each with a probability of 1/3. Then the mean and variance of the variable is
A. mean is 1/3, variance is 1/3
B. mean is 0, variance is 1/2
C. mean is 0, variance is 1/3
D. mean is 0, variance is 2/3
Question #5
What is the 40th term in the following series: 4, 14, 30, 52, ...?
A. 4598
B. 4840
C. 4960
D. 240
Solutions:
| Question #1 Correct Answer: B | Question #2 Correct Answer: A | Question #3 Correct Answer: B | Question #4 Correct Answer: D | Question #5 Correct Answer: B |
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