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

1. A typical leptokurtotic distribution can be described as a distribution that is relative to a normal distribution

A) flat and thick at the center and with thin tails
B) peaked and thin at the center and with heavy (fat) tails
C) peaked and thin at the center and with thin tails
D) flat and thick at the center and with heavy (fat) tails

2. The natural logarithm of x is:

A) 46
B) the inverse function of exp(x)
C) log(e)
D) always greater than x, for x>0

3. In a binomial tree lattice, at each step the underlying price can move up by a factor of u = 1.1 or down by a factor of . The continuously compounded risk free interest rate over each time step is 1% and there are no dividends paid on the underlying. The risk neutral probability for an up move is:

A) 0.5290
B) 0.5292
C) 0.5288
D) 0.5286

4. Let a, b and c be real numbers. Which of the following statements is true?

A) The existence of negatives is defined by
B) The associativity of multiplication is defined by
C) The distributivity of multiplication is defined by
D) The commutativity of multiplication is defined by

5. A biased coin has a probability of getting heads equal to 0.3. If the coin is tossed 4 times, what is the probability of getting heads at least two times?

A) 0.7367
B) 0.2646
C) None of these
D) 0.3483

Solutions: