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Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition 8007 exam torrent materials
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PRMIA 8007 Exam Syllabus Topics:
| Section | Weight | Objectives |
|---|---|---|
| Statistics and Regression Analysis | 20% | - Linear regression
|
| Numerical Methods & Financial Mathematics | 15% | - Time value of money - Basics of risk modeling - Root finding and approximation |
| Probability Theory | 25% | - Random variables and distributions
|
| Calculus and Functions | 20% | - Single-variable calculus
|
| Linear Algebra and Matrix Theory | 20% | - Vectors and eigenvalues
|
PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
Question 1
You are to perform a simple linear regression using the dependent variable Y and the independent variable X (Y = a + bX). Suppose that cov(X,Y)=10, var(X)= 5, and that the mean of X is 1 and the mean of Y is 2. What are the values for the regression parameters a and b?
A. b=0.5, a=2.5
B. b=2, a=0
C. b=0.5, a=1.5
D. b=2, a=4
Question 2
Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24
A. arithmetic sequence, common difference 2
B. geometric sequence, common ratio 2
C. geometric sequence, common ratio 3
D. arithmetic sequence, common ratio 2
Question 3
Find the first-order Taylor approximation p(x) for the function: at the point .
A. -x+1
B. x-1
C. -x
D. x+1
Question 4
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. 1.75
D. 2
Question 5
I have a portfolio of two stocks. The weights are equal. The one volatility is 30% while the other is 40%. The minimum and maximum possible values of the volatility of my portfolio are:
A. 30% and 40%
B. 10% and 40%
C. 10% and 70%
D. 5% and 35%
Solutions:
| Question 1 Answer: B | Question 2 Answer: B | Question 3 Answer: A | Question 4 Answer: B | Question 5 Answer: D |
