PRMIA PRM 8007

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PRMIA 8007 Exam Syllabus Topics:

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

1. If the annual volatility of returns is 25% what is the variance of the quarterly returns?

A) None of the above
B) 0.0625
C) 0.0156
D) 0.1250

2. A quadratic form is

A) defined as a positive definite Hessian matrix.
B) an algebraic expression in two variables, x and y, involving , and terms.
C) an algebraic expression in two variables, x and y, involving , , and terms.
D) a specific solution of the Black-Scholes pricing formula

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

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

4. Consider a binomial lattice where a security price S moves up by a factor u with probability p, or down by a factor d with probability 1 - p. If we set d > 1/u then which of the following will be TRUE?

A) None of the above
B) There will always be a downward drift in the lattice
C) The lattice will not recombine
D) The probability of an up move will not be constant

5. The Newton-Raphson method

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

Solutions: