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

1. When calculating the implied volatility from an option price we use the bisection method and know initially that the volatility is somewhere between 1% and 100%. How many iterations do we need in order to determine the implied volatility with accuracy of 0.1%?

A) 100
B) 5
C) 10
D) 25

2. Find the first-order Taylor approximation p(x) for the function: at the point .

A) x+1
B) -x
C) -x+1
D) x-1

3. Kurtosis(X) is defined as the fourth centred moment of X, divided by the square of the variance of X.
Assuming X is a normally distributed variable, what is Kurtosis(X)?

A) 2
B) 3
C) 1
D) 0

4. A 95% confidence interval for a parameter estimate can be interpreted as follows:

A) The probability that the real value of the parameter is outside this interval is 95%.
B) The probability that the estimated value of the parameter is within this interval is 95%.
C) The probability that the real value of the parameter is within this interval is 95%.
D) The probability that the estimated value of the parameter is outside this interval is 95%.

5. For a quadratic equation, which of the following is FALSE?

A) If the discriminant is negative, there are no real solutions
B) If the discriminant is positive there are two different real solutions
C) If the discriminant is zero, there is only one solution
D) If the discriminant is negative there are two different real solutions

Solutions: