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PRMIA 8007 Exam Syllabus Topics:

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

1. An indefinite integral of a polynomial function is

A) always positive
B) none of the above
C) always increasing
D) always less than the function itself

2. You invest $2m in a bank savings account with a constant interest rate of 5% p.a. What is the value of the investment in 2 years time if interest is compounded quarterly?

A) $2.205,000
B) $2,210,342
C) None of them
D) $2,208,972

3. 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) 2.5
C) -1.25
D) -2.5

4. Which of the following statements about variance and standard deviation are correct?
1. When calculated based on a sample of the population data, one has to correct for any bias in the result by using the number of degrees of freedom in the calculation
2. Variance is in square root units of the underlying data, whereas standard deviation is in units of the underlying data
3. When considering independent variables, variance is additive, while standard deviation is not

A) Statements 1 and 2 are correct
B) All three statements are correct
C) Statements 1 and 3 are correct
D) Statements 2 and 3 are correct

5. Which of the provided answers solves this system of equations?
2y - 3x = 3y +x
y2 + x2 = 68

A) x = 1; y = square root of 67
B) x = -2; y = -8
C) x = 2; y = 8
D) x = 2; y = -8

Solutions: