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

1. What is the probability of tossing a coin and getting exactly 2 heads out of 5 throws?

A) 8/15
B) None of these
C) 10/32
D) 9/23

2. Consider two securities X and Y with the following 5 annual returns:
X: +10%, +3%, -2%, +3%, +5%
Y: +7%, -2%, +3%, -5%, +10%
In this case the sample covariance between the two time series can be calculated as:

A) 0.40729
B) 0.32583
C) 0.00109
D) 0.00087

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

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

4. The determinant of a matrix X is equal 2. Which of the following statements is true?

A) det(2X) = 4 det(X)
B) det(2X) =
C) det(2X) = 2 det(X)
D) det(2X) = det(X)2

5. What is the 40th term in the following series: 4, 14, 30, 52, ...?

A) 240
B) 4840
C) 4960
D) 4598

Solutions: