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

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

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

2. If a random variable X has a normal distribution with mean zero and variance 4, approximately what proportion of realizations of X should lie between -4 and +4?

A) 66.60%
B) 90%
C) 99%
D) 95%

3. A simple linear regression is based on 100 data points. The total sum of squares is 1.5 and the correlation between the dependent and explanatory variables is 0.5. What is the explained sum of squares?

A) 0.375
B) 0.75
C) 0.3333
D) 1.125

4. I have a portfolio of two stocks. The weights are 60% and 40% respectively, the volatilities are both 20%, while the correlation of returns is 100%. The volatility of my portfolio is

A) 4%
B) 24%
C) 14.4%
D) 20%

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

Solutions: