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

1. 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

2. Let N(.) denote the cumulative distribution function of the standard normal probability distribution, and N' its derivative. Which of the following is false?

A) N'(x) 0 as x
B) N(0) = 0.5
C) N'(0) 0
D) N(x) 0 as x

3. If a time series has to be differenced twice in order to be transformed into a stationary series, the original series is said to be:

A) integrated of order 2
B) differential
C) non-linear
D) non-functional

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

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

5. 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) 1
B) 3
C) 0
D) 2

Solutions: