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

1. Calculate the determinant of the following matrix:

A) 4.25
B) 2
C) -4.25
D) 4

2. Evaluate the derivative of exp(x2 + 2x + 1) at the point x = -1

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

3. Which of the following is a false statement concerning the probability density function and the cumulative distribution function of a random variable?

A) the PDF is non-negative.
B) the CDF approaches 1 as its argument approaches infinity.
C) the definite integral of the PDF from minus infinity to plus infinity is zero.
D) the definite integral of the CDF from minus infinity to plus infinity is undefined.

4. 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 less than 1?

A) 0.32
B) 0.96
C) 0.64
D) 1.92

5. Which of the following can induce a 'multicollinearity' problem in a regression model?

A) A high positive correlation between the dependent variable and one of the explanatory variables
B) A high positive correlation between two explanatory variables
C) A large negative correlation between the dependent variable and one of the explanatory variables
D) The omission of a relevant explanatory variable

Solutions: