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

1. What is the probability of tossing a coin and getting exactly 2 heads out of 5 throws?

A) 10/32
B) None of these
C) 8/15
D) 9/23

2. At what point x does the function f(x) = x3 - 4x2 + 1 have a local minimum?

A) -0.666666667
B) 2
C) 0
D) 2.66667

3. The natural logarithm of x is:

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

4. I have a portfolio of two stocks. The weights are equal. The one volatility is 30% while the other is 40%. The minimum and maximum possible values of the volatility of my portfolio are:

A) 30% and 40%
B) 10% and 40%
C) 5% and 35%
D) 10% and 70%

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

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

Solutions: