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

1. The sum of the infinite series 1+1/2+1/3+1/4+1/5+.... equals:

A) 12
B) 128
C) 20
D) Infinity

2. Which of the following is not a direct cause of autocorrelation or heteroskedasticity in the residuals of a regression model?

A) The omission of a relevant explanatory variable
B) A structural break in the dependent variable
C) A high positive correlation between two explanatory variables
D) Using an inappropriate functional form in the model

3. Which of the following can be used to evaluate a regression model?
(i) Magnitude of R2
(ii) Magnitude of TSS (total sum of squares)
(iii) Tests for statistical significance
(iv) Sign and magnitude of each regression parameter

A) (i), (ii), and (iii)
B) (i), (iii), and (iv)
C) (i), (ii), (iii), and (iv)
D) (i) and (iv)

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) 1.92
D) 0.64

5. Which of the following is not a sequence?

A) , , , ... , , ...
B) , , , , ...
C) 30
D) , , , , , , ...

Solutions: