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PRMIA 8007 Exam Syllabus Topics:

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

1. The bisection method can be used for solving f(x)=0 for a unique solution of x, when

A) The function f(x) is differentiable
B) The function f(x) is continuous
C) The function f(x) is differentiable and we have an explicit expression for the derivative
D) The function f(x) is continuous and monotonic

2. What is the maximum value of the function F(x, y)=x2+y2 in the domain defined by inequalities x 1, y -2, y-x 3 ?

A) -25
B) 17
C) 1
D) 29

3. Let N(.) denote the cumulative distribution function of the standard normal probability distribution, and N' its derivative. Which of the following is false?

A) N'(x) 0 as x
B) N(0) = 0.5
C) N'(0) 0
D) N(x) 0 as x

4. Consider the linear regression model for the returns of stock A and the returns of stock B. Stock A is 50% more volatile than stock B. Which of the following statements is TRUE?

A) Beta must be positive ( )
B) Alpha must be positive ( )
C) Beta must be greater in absolute value than the correlation of the stocks ( )
D) The stocks must be positively correlated ( )

5. The Newton-Raphson method

A) is based on finding a middle point between left and right end of the search interval
B) does provide an error bound along with every iteration
C) is based on Taylor series and uses the first derivative
D) can be used for continuous but not differentiable functions

Solutions: