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

1. Which of the following is consistent with the definition of a Type I error?

A) The probability of a Type I error is 100% minus the significance level
B) A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of no correlation was rejected
C) A Type I occurs whenever data series are serially correlated
D) A Type I error would have occurred if the performance of a stock was positively correlated with the performance of a hedge fund, but in a linear regression, the hypothesis of positive correlation was rejected

2. At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?

A) 2.66667
B) -0.666666667
C) 2
D) 0

3. A bond has modified duration 6 and convexity 30. Find the duration-convexity approximation to the percentage change in bond price when its yield increases by 5 basis points

A) 24 basis point rise
B) 30 basis points fall.
C) 24 basis fall
D) 10 basis point rise

4. In a quadratic Taylor approximation, a function is approximated by:

A) a straight line
B) a constant
C) a cubic polynomial
D) a parabola

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) 1.95
B) 1.86
C) 1.75
D) 2

Solutions: