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

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

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

2. What is the indefinite integral of the function f(x) = ln(x), where ln(x) denotes the natural logarithmic function?

A) 1/x
B) ln(x) - x
C) exp(x)
D) x ln(x) - x

3. On average, one trade fails every 10 days. What is the probability that no trade will fail tomorrow?

A) 0.095
B) 0.905
C) 0.95
D) 0.100

4. Evaluate the derivative of ln(1+ x2) at the point x = 1

A) 1
B) 0.5
C) 2
D) 0

5. Let N(.) denote the cumulative distribution function and suppose that X and Y are standard normally distributed and uncorrelated. Using the fact that N(1.96)=0.975, the probability that X 0 and Y 1.96 is approximately

A) 0.25%
B) 0.49%
C) 0.488%
D) 0.495%

Solutions: