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PRMIA Exam II: Mathematical Foundations of Risk Measurement - 2015 Edition Sample Questions:
1. 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
2. What is the maximum value for f(x)= 8-(x+3)(x-3)?
A) -1
B) 17
C) 8
D) None of these
3. 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, many independent variables, one error variable
C) One dependent variable, one independent variable, many error variables
D) Many dependent variables, one independent variable, one error variable
4. Consider two functions f(x) and g(x) with indefinite integrals F(x) and G(x), respectively. The indefinite integral of the product f(x)g(x) is given by
A) F(x)g(x) - F(x)g'(x)dx
B) f(x)G(x) - F(x)g'(x)dx
C) F(x)g(x) + f(x)G(x)
D) F(x)G(x)
5. 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) a quarterly-compounded rate of 4.1%
B) a lump-sum payment of $22 500 on maturity (in five years)
C) a continuously-compounded rate of 4%
D) an annually compounded rate of 4.15%
Solutions:
| Question # 1 Answer: D | Question # 2 Answer: B | Question # 3 Answer: B | Question # 4 Answer: A | Question # 5 Answer: A |



