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

1. The first derivative of a function f(x) is zero at some point, the second derivative is also zero at this point. This means that:

A) f has necessarily a minimum at this point
B) f has necessarily neither a minimum nor a maximum at this point
C) f might have either a minimum or a maximum or neither of them at this point
D) f has necessarily a maximum at this point

2. An asset price S is lognormally distributed if:

A) the change in price (dS) is normally distributed
B) ln(1+dS/S) is normally distributed
C) ln(dS/S) is normally distributed
D) 1/S is normally distributed

3. Consider the linear regression model for the returns of stock A and the returns of stock B. Stock A is 50% more volatile than stock B. Which of the following statements is TRUE?

A) The stocks must be positively correlated ( )
B) Beta must be positive ( )
C) Alpha must be positive ( )
D) Beta must be greater in absolute value than the correlation of the stocks ( )

4. Over four consecutive years fund X returns 1%, 5%, -3%, 8%. What is the average growth rate of fund X over this period?

A) 2.67%
B) 2.75%
C) None of the above
D) 2.49%

5. A linear regression gives the following output:
Figures in square brackets are estimated standard errors of the coefficient estimates. What is the value of the test statistic for the hypothesis that the coefficient of is zero against the alternative that is less than zero?

A) 0.125
B) -1.25
C) 2.5
D) -2.5

Solutions: