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

1. An asset price S is lognormally distributed if:

A) 1/S is normally distributed
B) ln(1+dS/S) is normally distributed
C) ln(dS/S) is normally distributed
D) the change in price (dS) is normally distributed

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

3. A 2-step binomial tree is used to value an American put option with strike 104, given that the underlying price is currently 100. At each step the underlying price can move up by 20% or down by 20% and the risk-neutral probability of an up move is 0.55. There are no dividends paid on the underlying and the discretely compounded risk free interest rate over each time step is 2%. What is the value of the option in this model?

A) 12.33
B) 11.82
C) 12.49
D) 12.78

4. The correlation between two asset returns is 0.5. What is the largest eigenvalue of their correlation matrix?

A) 1
B) None of the above
C) 1.5
D) 0.5

5. Which statement regarding the matrix below is true?

A) It is positive semi-definite
B) It is positive definite
C) It is not positive definite
D) It is negative definite

Solutions: