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PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:

1. Which of the following can be used to evaluate a regression model?
(i) Magnitude of R2
(ii) Magnitude of TSS (total sum of squares)
(iii) Tests for statistical significance
(iv) Sign and magnitude of each regression parameter

A) (i), (ii), (iii), and (iv)
B) (i) and (iv)
C) (i), (ii), and (iii)
D) (i), (iii), and (iv)

2. I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 100%. The volatility of my portfolio is

A) 4%
B) 14.4%
C) 20%
D) 24%

3. Identify the type and common element (that is, common ratio or common difference) of the following sequence: 6, 12, 24

A) geometric sequence, common ratio 2
B) geometric sequence, common ratio 3
C) arithmetic sequence, common difference 2
D) arithmetic sequence, common ratio 2

4. An indefinite integral of a polynomial function is

A) always positive
B) always less than the function itself
C) none of the above
D) always increasing

5. A 2-year bond has a yield of 5% and an annual coupon of 5%. What is the Modified Duration of the bond?

A) 1.86
B) 2
C) 1.75
D) 1.95

Solutions: