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

1. You are given the following values of a quadratic function f(x): f(0)=0, f(1)=-2, f(2)=-5. On the basis of these data, the derivative f'(0) is ...

A) in the interval ]-2,+[
B) equal to -2
C) in the interval ]-2.5,-2[
D) in the interval ]-,-2.5]

2. Simple linear regression involves one dependent variable, one independent variable and one error variable. In contrast, multiple linear regression uses...

A) Many dependent variables, many independent variables, many error variables
B) One dependent variable, one independent variable, many error variables
C) Many dependent variables, one independent variable, one error variable
D) One dependent variable, many independent variables, one error variable

3. What is the 40th term in the following series: 4, 14, 30, 52, ...?

A) 4598
B) 4840
C) 4960
D) 240

4. You intend to invest $100 000 for five years. Four different interest payment options are available. Choose the interest option that yields the highest return over the five year period.

A) an annually compounded rate of 4.15%
B) a quarterly-compounded rate of 4.1%
C) a continuously-compounded rate of 4%
D) a lump-sum payment of $22 500 on maturity (in five years)

5. When the errors in a linear regression show signs of positive autocorrelation, which of the statements below is true?

A) The regression coefficient will be unbiased, but the standard error of the regression coefficient will be overstated
B) The regression coefficient will be too high and the standard error of the regression coefficient will be understated
C) The regression coefficient will be too low and the standard error of the regression coefficient will be overstated
D) The regression coefficient will be unbiased, but the standard error of the regression coefficient will be understated

Solutions: