PRMIA 8007 : Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition

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PRMIA 8007 Exam Syllabus Topics:

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

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

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

2. Bond convexity is closely related to ...

A) The derivative of the bond's present value with respect to yield
B) The integral of the bond's present value with respect to yield
C) The sensitivity of the bond's present value with respect to yield
D) The second derivative of the bond's present value with respect to yield

3. For a quadratic equation, which of the following is FALSE?

A) If the discriminant is positive there are two different real solutions
B) If the discriminant is negative, there are no real solutions
C) If the discriminant is negative there are two different real solutions
D) If the discriminant is zero, there is only one solution

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 0, variance is 1/3
B) mean is 1/3, variance is 1/3
C) mean is 0, variance is 1/2
D) mean is 0, variance is 2/3

5. For each of the following functions, indicate whether its graph is concave or convex:
Y = 7x2 + 3x + 9
Y = 6 ln(3x)
Y = exp(-4x)

A) concave, concave, concave
B) convex, convex, concave
C) concave, convex, convex
D) convex, concave, concave

Solutions: